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ECLIPSES OF THE SUN
THE END OF THE TOTAL ECLIPSE, SEPTEMBER 10, 1923
From the painting by Howard Russell Butler, N. A. Shows the edge of the reappearing sun.
ECLIPSES OF THE
SUN
BY
S. A. MITCHELL
PROFESSOR F"TTflTo*fr6"i?TY AT
THE UNIVERSITY OF VIRGINIA
AND DIRECTOR OF THE LEANDER
MCCORMICK OBSERVATORY
FOURTH EDITION
REVISED AND ENLARGED
NEW YORK !!g M-CM-XXXV
COLUMBIA UNIVERSITY PRESS
This edition comprises all the material contained in the third edition,
as well as a new chapter and certain additions to the text.
Chapters in which no out-of-date scientific statements occur
have been reprinted without change from the third edition.
COPYRIGHT 1923, 1924, 1932, 1935
COLUMBIA UNIVERSITY PRESS
First edition, 1923
Second edition, revised and enlarged, 1924
Third edition, revised and enlarged, 1932
Fourth edition, revised and enlarged, 1935
PRINTED IN THE UNITED STATES OF AMERICA
BY THE PLIMPTON PRESS • NORWOOD • MASS
TO MY FRIEND
EDWARD DEAN ADAMS
THIS BOOK IS AFFECTIONATELY DEDICATED
PREFACE
THIS book owes its inception to the keen scientific
interest of Mr. Edward D. Adams. The magnifi-
cent painting of the corona by Howard Russell
Butler, which now finds an honored place in the American
Museum of Natural History, New York, was originally
planned that it might provide a frontispiece illustration.
Fortunately for the author, he had the hearty coopera-
tion of many of his friends in the preparation of the book.
Professor E. E. Barnard, an intimate friend for twenty-five
years, furnished all of the photographs illustrating the
eclipse expedition in 1901 to Sumatra. The last work
undertaken by him, a few days before his lamented death,
was to dictate the captions to accompany each of the photo-
graphs. Another life-long friend, Professor Edwin B. Frost,
director of the Yerkes Observatory, was most generous in
his assistance. As editor of the Astrophysical Journal, he was
instrumental in providing the blocks for many of the illustra-
tions. Professor George B. Pegram, chairman of the Adams
Fellowship Committee of Columbia University, showed con-
tinued interest during the progress of the work. Dr. W. W.
Campbell, director of the Lick Observatory, kindly furnished
information in advance of publication regarding the Einstein
problem and provided photographs of the 1922 eclipse and
with great generosity supplied many additional illustrations
from the incomparable Lick series of photographs of the solar
corona, while Professor H. Deslandres kindly sent for repro-
duction many photographs taken with the spectro-heliograph
at Meudon.
The author wishes to express to these scientists his heart-
felt appreciation for their assistance so freely given.
The second edition was prepared while the author was
in residence for a brief stay at the Mount Wilson Observa-
tory.
In the eight years which separated the second and third edi-
viii PREFACE
tions, scientists had a most thrilling time in their investiga-
tions of the chemical atom. It has been said with truth that
discoveries have followed each other in such rapid succession
that before the printer's ink was dry, a new and, at times,
startling theory was superseded by another theory still newer.
As the problems of solar physics have their fundamental
basis in the structure of the atom, an attempt has been made
to incorporate in this book the recent important researches
dealing with atomic physics.
The fourth edition, prepared while in residence again at
Mount Wilson Observatory, adds to the third edition a chap-
ter giving the results obtained from the 1932 and 1934
eclipses. Minor changes have been made in Chapter IV deal-
ing with future eclipses.
S. A. MITCHELL
LEANDER McCoRMicK OBSERVATORY
May 13, 1935
CONTENTS
INTRODUCTION xiii-xviii
I. EARLY HISTORICAL ECLIPSES . 1-26
CHINESE ECLIPSES — ECLIPSES OF BABYLON — SIGNS OF THE
ZODIAC — EGYPTIAN ASTRONOMY
II. BIBLICAL AND CLASSICAL ECLIPSES 27-36
DATES OF THE BIBLE — ECLIPSES OF CLASSICAL LITERATURE —
ECLIPSE OF THALES — XERXES
III. THE PREDICTION OF ECLIPSES 37-52
METONIC CYCLE — ARISTOTLE — HIPPARCHUS — SAROS —
THEORY OF ECLIPSES — ECLIPTIC LIMITS
IV. THE VERIFICATION OF ECLIPSES 53-71
LONG-RANGE PREDICTIONS — ONE HUNDRED YEARS OF TOTAL
ECLIPSES — NUMBER OF ECLIPSES — CALCULATION OF ECLIPSES
— LUNAR AND SOLAR ECLIPSES — TABLES OF THE MOON —
MOON AHEAD OF PREDICTED PLACE
V. THE SPECTROSCOPE 72-90
NEWTON — WOLLASTON — FRAUNHOFER — PRISMS AND GRAT-
INGS — WAVE-LENGTHS — FRAUNHOFER LINES
VI. THE SPECTROSCOPE (CONTINUED) 91-105
KlRCHHOFF — KlRCHHOFF LAWS — ROWLAND GRATINGS
VII. THE SURFACE OF THE SUN 106-127
GREEK IDEAS — DISTANCE OF THE SUN — SIZE OF SUN —
PHOTOSPHERE — JANSSEN — SUN-SPOTS — PERIODICITY OF
SPOTS — - Is THE SUN SPHERICAL?
VIII. MODERN ECLIPSES BEFORE 1878 128-150
TYCHO BRAKE — BAILY'S BEADS — ECLIPSE OF 1842 — AT
ECLIPSE OF 1860, PROMINENCES DISCOVERED TO BE SOLAR
IN ORIGIN — TRIUMPH OF THE SPECTROSCOPE AT ECLIPSE OF
1868
IX. NINETEENTH CENTURY ECLIPSES AFTER 1878 .... 151-166
GREAT EXTENSIONS OF THE CORONA IN 1878 — INTRA-MERCU-
RIAL PLANETS — SPECTRUM OF THE CORONA — FLASH SPECTRUM
DISCOVERED IN 1870 — IMPORTANCE OF PHOTOGRAPHY —
RESULTS OF 1900
X. PERSONAL EXPERIENCES IN 1900 AND 1901 167-182
ECLIPSE OF 1900 — To SUMATRA IN 1901 — SCIENTIFIC RESULTS
XL THE SPANISH ECLIPSE OF 1905 183-190
PHOTOGRAPHING THE FLASH SPECTRUM
XII. THE AMERICAN ECLIPSE OF 1918 191-202
THREATENING WEATHER — PAINTING THE CORONA
XIII. ECLIPSES SINCE 1923 203-225
EXPERIENCES IN CALIFORNIA IN 1923 — IN CONNECTICUT IN
1925 — IN NORWAY IN 1927 — ON NIUAFOOU ISLAND IN 1930
CONTENTS
XIV, THE STRUCTURE OF THE ATOM 226-246
SIZE OF UNIVERSE CONTRASTED WITH THE SIZE OF THE ELECTRON
— RADIUM AND ITS RAYS — THE ELECTRON — ATOMIC NUM-
BERS — ISOTOPES — QUANTUM THEORY — SPECTRAL SERIES —
THE BOHR ATOM — SPECTRUM OF HYDROGEN AND HELIUM
XV. PHOTOGRAPHING THE FLASH SPECTRUM 247-276
CHOICE OF BEST TYPE OF SPECTROGRAPH — SLIT VERSUS SLITLESS
— PRISMS VERSUS GRATINGS — FIXED VERSUS MOVING PLATES
XVI. DISCUSSING THE FLASH SPECTRUM 277-298
CHROMOSPHERIC INTENSITIES ESTIMATED AND MEASURED — RE-
SULTS OF PANNEKOEK AND MINNAKRT AND OF MENZEL — FLASH
SPECTRUM OBSERVED AT PARTIAL ECLIPSES AND WITHOUT AN
ECLIPSE — PRESENT PROBLEMS
XVII. THE IMPORTANCE OF IONIZATION 299-318
SAHA'S THEORY APPLIED TO THE SPKCTRA OF SUN, CHROMO-
SPHERE, SUN-SPOTS AND STARS — PERIODIC TABLE OF ELE-
MENTS — ATOMIC THEORY — IONIZATION AND EXCITATION
POTENTIALS — MULTIPLET GROUPS
XVIII. HEIGHTS AND RELATED PROBLEMS 319-337
SOLAR ROTATION — SUN-SPOT VORTICES — POLARITIES — SUN-
SPOT PERIOD
XIX. HEIGHTS AND DISTRIBUTIONS OF VAPORS 338-359
MULTIPLET GROUPS IN IRON — EVERSHED EFFECT IN SUN-SPOTS
— CORRELATIONS BETWEEN HEIGHTS, INTENSITIES, EXCITA-
TION POTENTIALS, EVERSHED EFFECT AND RELATIVITY SHIFT —
ABUNDANCES AND DENSITY DISTRIBUTION
XX. THE CORONA 360-386
PAUCITY OF TIME ALLOWED FOR INVESTIGATIONS — MOTIONS
WITHIN THE CORONA — DISTURBANCES — WAVE-LENGTHS —
INTENSITIES — CORONIUM — ROTATION OF CORONA — UNSAT-
ISFACTORY NATURE OF KNOWLEDGE
XXI. CORONAL THEORIES 387-420
POLARIZATION — LAW OF DISTRIBUTION OF LIGHT WITHIN THE
CORONA — TOTAL LIGHT OF CORONA — SHAPE OF CORONA —
CONNECTION WITH SUN-SPOT PERIOD — VARIOUS THEORIES
XXII. THE EINSTEIN THEORY OF RELATIVITY 421-442
HAS NEWTON'S LAW OF GRAVITATION BEEN DISCARDED? — SPACE
OF FOUR DIMENSIONS — MICHELSON-MORLEY EXPERIMENT —
RELATIVITY OF MOTION — WHAT Is A STRAIGHT LINE? —
EVENTS — CONSEQUENCES OF EINSTEIN'S THEORY
XXIII. HAS THE EINSTEIN THEORY BEEN VERIFIED? .... 443-479
ECLIPSE OF 1919 — RESULTS FROM THE ECLIPSES OF 1922 AND
1929 — THE SPECTROSCOPIC TEST — GENERAL CONCLUSIONS
XXIV. SHADOW BANDS 480-482
XXV. THE ECLIPSES OF 1932 AND 1934 483-511
NEW INFORMATION ABOUT THE CORONA — ECLIPSE PROBLEMS
INDEX 513-520
ILLUSTRATIONS
TOTAL ECLIPSE OF 1923, IN COLOR (Butler) Frontispiece
CORONAL DISTURBANCES AT 1930 ECLIPSE (Marriott) 8
CORONA AT 1930 ECLIPSE (Marriott) 9
INNER CORONA, 1930 (Marriott) 12
THE CORONA, 1929 (Swarthmore) 13
AN ANCIENT EGYPTIAN CALENDAR 24
QUIESCENT SOLAR PROMINENCE 25
FORTY-FOUR ECLIPSES IN A SERIES FROM 1211 TO 1986 52
SWARTHMORE EXPEDITION IN 1929, HUGE CAMERA 53
TRACKS OF ECLIPSES BETWEEN 1919 AND 1940 56
THE ECLIPSE ON NIUAFOOU ISLAND 57
TOTAL ECLIPSE OF JUNE 8, 1918, IN COLOR (Butler) 60
TWENTY-FOUR-HOUR DEVELOPMENT OF SUN-SPOT (Mt. Wilson) 84
6o-FOOT TOWER TELESCOPE AT MT. WILSON OBSERVATORY 85
THE SUN IN THE LIGHT OF GLOWING CALCIUM VAPOR 108
SPECTROHELIOGRAMS SHOWING DEVELOPMENT OF SPOT 109
THE SUN'S SURFACE, SEPTEMBER 1883 (Janssen) 116
SUN-SPOT GROUP (Meudon Observatory) 117
DETAILS OF PROMINENCES, JUNE 8, 1918, IN COLOR (Butler) 128
OUTER LAYERS OF THE CHROMOSPHERE (Deslandres) 136
TEST OF RADIAL MOTIONS IN SUN (Deslandres) 137
THE CORONA PHOTOGRAPHED BY LICK PARTIES 148
PROMINENCES IN PROJECTION AGAINST THE SUN'S DISK 149
CORONA OF MAY 28, 1900 (Barnard and Ritchey) 164
PROMINENCES PHOTOGRAPHED WITHOUT AN ECLIPSE (Yerkes) 165
PASIG RIVER; KRAKATOA (Barnard) 168
RAILROAD IN SUMATRA; WATER BUFFALO (Barnard) 169
SUMATRAN BEAUTY; MARKET SCENE (Barnard) 176
SUMATRANS, MALE AND FEMALE (Barnard) 177
FILIPINO AND SUMATRAN HOMES (Barnard) 184
SCENES AT DAROCA, SPAIN (Barnard) 185
THE " HELIOSAURUS "AT 1918 ECLIPSE (Barnard) 196
AMERICAN ECLIPSE OF 1918, LICK PHOTOGRAPH 197
MOUNT WILSON INSTRUMENTS AT 1923 ECLIPSE 208
DISTURBED REGION IN 1923 CORONA (Swarthmore) 209
CORONA OF 1923 (Swarthmore) 212
THE CORONA OF JANUARY 24, 1925 (Slocum) 213
THE CORONA OF JANUARY 24, 1925, IN COLOR (Butler) 224
FLASH SPECTRUM, 1905, REGION OF H AND K . . . 248
FLASH SPECTRUM WITH CONCAVE GRATING IN BLUE AND GREEN REGION . 249
xii ILLUSTRATIONS
PACE
FLASH SPECTRUM WITH MOVING PLATE (Campbell) 260
CHANGES IN SOLAR PROMINENCES (Slocum) 261
FRAUNHOFER AND FLASH SPECTRA COMPARED 268
OBSERVERS AT THE 1905 ECLIPSE IN SPAIN 269
PROMINENCE OF MAY 29, 1919, PHOTOGRAPHED WITHOUT AN ECLIPSE .... 272
TOTAL ECLIPSE OF MAY 29, 1919 273
APPROACHING SHADOW AT ECLIPSE OF JUNE 1918, IN COLOR (Butler) .... 284
CALCIUM FLOCCULI (Fox) 300
ECLIPSE CAMERAS IN 1905 AND 1918 301
SUN-SPOT AND PROMINENCE (Mt. Wilson) 320
PROMINENCE PROJECTED ON SUN'S DISK (Mt. Wilson) 321
ZEEMAN EFFECT IN SUN-SPOTS (Mt. Wilson) 332
BIPOLAR SUN-SPOT (Mt. Wilson) 333
SOLAR VORTICES (Mt. Wilson) 340
SPECTRUM OF SUN AND SPOT COMPARED (Mt. Wilson) 341
THE SUN, DIRECT AND IN GLOWING CALCIUM VAPOR (Yerkes) 348
THE TOTAL ECLIPSE OF 1918 (Lick) 349
CORONA BY LICK AND CANADIAN ASTRONOMERS 364
TOTAL ECLIPSE OF 1922 (Lick) 365
CORONAL RINGS AT 1930 ECLIPSE 372
DETAILED STRUCTURE IN CORONA, 1930 373
LICK PHOTOGRAPHS OF CORONAL SPECTRUM, 1918 380
GENERAL SPECTRUM OF CORONA (Lowell) 381
CORONA IN POLARIZED LIGHT, 1908 (Lick) 388
CURVES SHOWING INTENSITY IN CORONA (Bergstrand) 389
INNER CORONA IN 1926 (Swarthmorc) 400
LION-LIKE PROMINENCE AT 1929 ECLIPSE (Swarthmore) 401
EINSTEIN CAMERAS AT THE 1919 ECLIPSE 424
ECLIPSE OF 1922, CANADIAN PHOTOGRAPHS 425
CORONA IN 1922 (Lick) 448
FINE STRUCTURE IN CORONA, 1929 (Swarthmore) 449
LICK CAMERA FOR TESTING THE EINSTEIN DEFLECTION 460
AUSTRALIAN SAILORS ERECTING CANADIAN CAMERAS INI922 461
CORONA IN 1932 (Lick) 476
EINSTEIN CAMERA IN 1934 477
CLOUDS AND PROMINENCES IN 1932 484
MOON'S SHADOW AT FIVE-SECOND INTERVALS 485
FLASH SPECTRUM IN 1932 (Greenwich) 492
FLASH SPECTRUM IN 1932 (Lick) 493
CORONA IN 1934 (Satome) 500
INSTRUMENTS AT THE 1934 ECLIPSE 501
INTRODUCTION
SCIENCE seems bent on increasing man's estimate of
the span of time since creation began. It is now
confidently believed that the human race has in-
habited this terrestrial ball for at least five hundred thousand
years, while Mother Earth herself must have been in exist-
ence for a thousand million years. On the assumption that
mass is electrical and that all kinds of energy possess mass,
we have found that the sun's heat can not be maintained
for a space of time exceeding fifteen millions of millions of
years, provided all its energy, including that of the atom,
could be liberated. Surely such an interval is sufficiently
great to satisfy even the most exacting! And yet what
changes have taken place in our mode of life within the
memory of man!
Today, as never before, our daily life follows its course
surrounded by the wonders of science. The age of steam has
brought the powerful locomotive drawing its fast and com-
fortable passenger train on its long journey across the con-
tinent, has constructed the gigantic ocean steamship where-
by Europe is brought within four days of the shores of
America, has been, indeed, the cause of the remarkable de-
velopment experienced in all quarters of the globe. The
internal combustion engine has largely revolutionized modes
3f transportation on the land, on the surface of and under
the sea and in the air, so that the extravagantly fanciful
writings of Jules Verne are common-place, every-day reali-
ties. The age of electricity has wrought the greatest
:hanges of all in our daily life bringing as it has stupendous
transformations in illumination vastly different from the
Feeble tallow dip; it has wrought the powerful motor; it
las made possible the electric telegraph and telephone and
:he still more wonderful wireless, with the result that dis-
;ance is eliminated and there is served fresh each morning
xiii
xiv INTRODUCTION
with our coffee the very latest news garnered from every
quarter of the globe. Through the agency of the cinema
and the wireless telephone the inhabitant of a backwoods
village can gaze upon great actors, can listen to the greatest
of singers and the best of symphony orchestras quite as well
as if he lived in London, Paris or New York.
The bridge separating pure from applied science has been
so much shortened that the gap has practically disappeared.
The refined researches of the physicist or chemist today
may be applied in the arts and sciences of tomorrow. In-
vestigations in Hertzian waves in the laboratory have made
the wireless telephone possible, the discovery of Mme. Curie
and the remarkable work of Rutherford and others on the
penetrating powers of the rays of radium have given to the
cancer specialist the means of alleviating the horrors of this
dread disease ; X-rays are now in every-day use by the doc-
tor, the surgeon and the dentist. And in the quiet rest of
the laboratory, the chemist has experimented with his vials
and test tubes and has made noxious and poisonous gases
which, liberated amidst the din and roar of the battlefield,
have caused the destruction of thousands of lives.
It is less than forty years since the discovery of X-rays
and radium. The marvelous researches connected with
radioactivity have shown the amazing degree of refinement
necessary in the work of the scientist. New forces, hitherto
unknown, have been discovered, while recent researches
display the amazing fact that each chemical atom takes
its place in Nature as a miniature solar system. Modern
investigations have revealed that one chemical element may
be transformed into another, thus realizing the age-long
dream of the alchemist, the transmutation of one metal into
another. It has been proved that several separate series of
radioactive transformations have as their end-product the
metal lead — but fortunately for the economic future of the
world, the realization of the alchemist's vision of changing
base lead into glittering gold seems as far distant as ever.
Helium is a product of almost every radioactive transforma-
tion and it has thus become a household word with every
trained physicist. And yet helium was discovered — a re-
INTRODUCTION xv
suit of solar eclipse observations — a bare half-century ago
and was isolated from pitchblende only in 1895! Within
two decades the demands of the Great War brought to the
attention of scientists the urgent necessity of obviating the
disastrous explosions that have taken place with hydrogen-
filled balloons with the consequent result that helium was
produced in such large quantities that balloons were filled
with this inert gas.
But amongst all the wonders of all the wonderful sciences
there is no science which deals with such a gorgeous spec-
tacle as is exhibited by the queen of the sciences, astronomy,
at the moment when the earth is gradually shrouded in dark-
ness and when around the smiling orb of day there appears
the matchless crown of glory, the so-called corona. Nor can
any science duplicate the wonderful precision shown by the
work of the astronomer in his capacity to predict hundreds
of years in advance the exact hour and minute at which an
eclipse will take place and the locality on the earth's surface
where such an eclipse will be visible.
The great progress of science in the last fifty years is
nowhere better illustrated than in the attitude of astrono-
mers towards observations at the time of a total eclipse of
the sun. Until about the middle of the nineteenth century
little interest was taken in the subject although information
regarding the sun was comparatively scant. The eclipse
was observed only if perchance its track happened to cross
the home of the observer; the only observations of value
being the exact times of contact of the limbs of the sun and
moon, taken for the purpose of perfecting the lunar tables.
The beautiful corona was watched with awe and admiration,
a few sketches were made of its form, — but these were
done with such indifferent skill that they added but little
to the information available at the time. Practically no
expeditions were equipped and sent away from home. How
different it is in the twentieth century! In the year* 1901,
the United States Naval Observatory financed and sent an
expedition as far from home as it could possibly go — half
way round the world — and all for the purpose of making
observations during a few short minutes of time. At the
xvi INTRODUCTION
recurrence of the eclipse in 1919, the British observers in
Brazil and West Africa startled the thinking world by veri-
fication of the Einstein problem. In September, 1922, the
British astronomers had spent more than six months on
Christmas Island in the Indian Ocean only to have their work
come to naught because of clouds at the critical moment,
while American and Canadian scientists had gone to North-
west Australia in quest of information about the relativity
shift. On isolated " Tin-Can Island " in the South Pacific,
important discoveries were made in 1930.
To make such expensive and time-consuming expeditions
worth while there must be problems connected with the sun
whose solution is of vital importance to the astronomer. In
this book the author will endeavor to state some of these
problems and the methods devised for their solution. At
the same time it will be necessary to refute one of the
" twice-told tales " (See Science during 1921) that the moon
is a more important body than the sun since the moon gives
us light at night when it is dark and we need its light,
whereas the sun shines during the daytime when it is bright
and we could possibly get along very well without it! The
light that lightens the world, the heat that gives our bodies
comfort, the wind that cools our heated brows and wafts the
sailing ships across the ocean, the coal that warms and illumi-
nates our homes and generates steam and electricity to carry
on the world's mighty commerce, the rain that descends
from heaven and waters and fertilizes the soil and causes
the flow of our mighty rivers; all these and many other
benefits come from the sun. Without the sun there would
be no grass, no flowers, no wheat or corn or vegetable life
of any kind, and without the sun there would be no animal
life, no man upon the earth. If the sun were blotted out
for the space of one short month, there would not be one of
us left alive to tell the tale; we should all be frozen to death!
It is well then that we should endeavor to learn as much as
possible of the giant luminary in which are centered our light
and heat and our very life, even when the quest for knowl-
edge carries one as far from home as does eclipse work.
The life of such an observer might be likened to that of
INTRODUCTION xvii
a hunter after big game. Many months and even years are
spent in quietly investigating the problems, a costly equip-
ment is accumulated and each piece of delicate apparatus
is carefully tested at home to see that it will properly per-
form its designated functions far afield, a long journey is
often necessary, frequently of thousands of miles, by rail
and sea. Arrived at the destination, instruments, cameras
and spectroscopes are erected and most carefully adjusted,
and after six or eight weeks of preparation in the field the
eventful day approaches. Each and everyone of the party
drills constantly so that the task allotted to him may be well
and carefully done, so that the photographic slides may be
drawn and each camera lens may be opened at the appro-
priate instant. Success lies in seeing that every one of a
thousand possible chances of failure are obviated. At a cer-
tain hour, minute and second, the " zero-hour," operations
are due to begin. But alas! there may be no " game," the
eclipse may be eclipsed by clouds, and the long months of
preparation may be of no avail since it will not be possible
to try again on the morrow when the clouds have rolled
away.
The author has traveled ninety thousand miles to witness
nine total eclipses of the sun. The total accumulation of time
afforded him for scientific observations during these nine
eclipses has been approximately eighteen minutes.
ECLIPSES OF THE SUN
CHAPTER I
EARLY HISTORICAL ECLIPSES
"In old Cathay, in far Cathay,
Before the western world began,
They saw the moving font of day
Eclipsed, as by a shadowy fan;
They stood upon their Chinese wall.
They saw his fire to ashes fade,
And felt the deeper slumber fall
On domes of pearl and towers of jade." — NOYES.
THE earliest recorded eclipse of the sun is one which
happened more than four thousand years ago,
an account of which is given in the ancient Chinese
classic Shu Ching. According to the competent authority
Oppolzer, this took place on October 22, 2137 B.C., about
1400 years more remote than that recorded by any other
nation. This eclipse is celebrated not only -for its great
antiquity, but also for the dire fate of the two royal astron-
omers, Hsi and Ho, who instead of staying in the sober
paths of science went and got beastly drunk, with the re-
sult that they were taken unawares and were unprepared
to perform their customary rites of shooting arrows, beat-
ing drums, etc., for the purpose of delivering the sun from
the monster that was devouring it. To show his great dis-
pleasure, not so much for failing to predict the eclipse, but
on account of the intense confusion that prevailed, Chung
K'ang, the fourth emperor of the Hsai dynasty, ordered
that they should be punished and that their heads should
be chopped off. And with this tragic warning in view, there
is no record from that day to this that an astronomer has
ever dared to follow in the steps of the unfortunates, Hsi
and Ho; and been drunk at the time of an eclipse.
2 ECLIPSES OF THE SUN
This eclipse is of such great importance that it will be
well to give it more than a passing glance. The early
eclipses, both of sun and of moon, have been of such great
interest to astronomers and scholars that a very large num-
ber of investigations have been devoted to the determina-
tion of as exact dates as possible for these phenomena.
Eclipses can take place only when the centers of sun, earth
and moon are approximately in a straight line. These cir-
cumstances can be predicted with accuracy if we know with
a sufficient degree of precision the motions of the earth
about the sun, and of the moon about the earth. The times
of eclipses thus give to the astronomer the means of ac-
curately testing his calculations regarding the motions of
both these heavenly bodies. The movements of the earth
render no difficulties, but with the earth's child, the moon,
the matter is entirely different. It may be truly said that
the motions of the moon have given the mathematical as-
tronomer more work and worry than those of all the balance
of the gigantic universe put together. The earlier the eclipse
that can be checked up with accuracy the more reliably can
the motion of the moon be verified, since any accelerations
in this motion depend on the square of the elapsed time.
Valuable as these early eclipses are to the astronomer, they
are equally important to the historian or chronicler in fix-
ing the dates of remote antiquity. The astronomical prob-
lem has been well studied and is now regarded as a simple
one. The crux of the whole question lies in the exactness
and precision with which the event has been described by
the author or historian.
The Shu Ching, or Book of Historical Documents, is a
collection of public speeches and proclamations beginning
with the reign of the legendary Emperor Yao who lived in
the twenty-fourth century B.C., and closing with the year
B.C. 625. The book is not a historical, chronological narra-
tive, nor indeed does such a book exist in the Chinese lan-
guage. This ancient eclipse has been fully discussed by a
number of eminent authorities. The most complete mono-
graph is by Schlegel and Kiihnert, Die Shu-King-Finsterniss,
Verhand. der Konin. Akad. van Wettenschappen, Letter-
EARLY HISTORICAL ECLIPSES 3
kunde 19, 5, 1890. Oppolzer communicated to Monats-
berichte der Kbn. Preuss. Akad. der Wissens. zu Berlin, 166,
1880. Briefer accounts may be found by S. M. Russell,
Observatory, 18, 323, 1895; in Chambers' The Story of
Eclipses, 65, 1900; and in the Halley Lecture delivered by
Dr. J. K. Fotheringham, May 17, 1921.
In the third century B.C., Shi Hwang- Yi, a great military
genius, conquered the whole of the China of those days.
In 221 B.C. he proclaimed himself the " First Emperor," and
he decided, on the advice of his prime minister, that every
form of human progress including literature should begin
with his reign. He therefore ordered the destruction of all
books except those belonging to the three utilitarian
branches of knowledge, agriculture, divination and medicine.
To see that his orders were properly carried out, he per-
sonally examined each day a hundred pounds of books so
that he might decide which were useless. Four hundred
and sixty scholars were put to death for disobeying the royal
commands, and others were banished for life. All copies
of the Shu Ching seem to have perished except one incom-
plete copy later recovered from a receptacle where it had
been walled up by a devoted scholar. The book in which the
eclipse is mentioned is not included in the authentic copy.
It was added later, probably to conform to a table of con-
tents that scholars believe may have been included in the
original volume, and which may possibly have been written
by the great Confucius. The preface to this book is as
follows:
" Hsi and Ho, sunk in wine and excess, neglected the
ordering of the seasons, and allowed the days to get into
confusion. The prince of Yin went to punish them. De-
scription of this there was made, The Punitive Expedition
of Yin."
It should be noted in the above that there is no mention
of an eclipse. Tso, a scholar and commentator of the fifth
century before Christ wrote concerning the lost work, The
Punitive Expedition of Yin in the following words, " The
Sun and Moon did not meet harmoniously in Fang. The
blind beat their drums; the inferior officers galloped and
4 ECLIPSES OF THE SUN
the common people ran about." There is further added,
" That is said of the first day of this month; it was in the
fourth month of Hsia, which is called the first month of
summer."
In the Annals of the Bamboo Books, a work of the early
third century before Christ, the reference to Hsi and Ho is
as follows: " In the fifth year of Chung K'ang, in the
autumn, in the ninth month, on the first day of the month,
there was an eclipse of the Sun, when he ordered the prince
of Yin to lead the imperial forces to punish Hsi and Ho."
The text does not say that the expedition was for the
purpose of punishing the astronomers for failing to predict
the eclipse. The scholar who restored the missing text used
such flowery language that it is difficult to obtain the exact
meaning, although it seems to be implied that the eclipse
was the cause of the punitive expedition.
There are many uncertainties that prevent an accurate
interpretation of this eclipse, chief among which may be
noted: (i) The month is entirely unknown, whether it is
the " first day of the last month of autumn," or, " the first
day of the first month of summer." (2) The meaning of
the word Fang is doubtful, whether it means " the order
of the constellations," which seems to be the better opinion,
or whether Fang is used in the more restricted sense as the
name of a small constellation including /3, 6, TT and p
Scorpii. (3) The Emperor's name is very uncertain as it is
not given except in the Bamboo Books. Little is actually
known of Chinese chronology further back than B.C. 841.
We do know the names of the emperors in succession, but
whether they reigned five years or fifty is unknown, and
consequently all that it is possible to say about the emperor
Chung K'ang is that he must have been on the throne a
century or two earlier or later than the year 2000 B.C.
(According to the Encyclopaedia Britannica the first of the
kings mentioned in the Shu Ching reigned from 2357 to
2255 B-c-> an interval of no less than 102 years!)
One interpretation of the above uncertainties is probably
about as good as another. One date fixed by the Chinese
astronomers of about the eighth century A.D., was the year
EARLY HISTORICAL ECLIPSES 5
B.C. 2155. But in consequence of the fact that the eclipse
of that year was invisible in China, there has arisen the
well-known ditty:
" Here lie the bones of Ho and Hi,
Whose fate though sad was risible,
Being hanged because they could not spy
The eclipse which was invisible."
Taking " the last month of Autumn," and Fang in the
restricted meaning of the word that it referred to the con-
stellation, Oppolzer fixes the date as given above, B.C. 2137,
October 22. Other authorities equally competent give other
dates. The only conclusion that can be reasonably drawn
is that it is not possible to identify the eclipse with any
approximation to certainty. Nothing is known of the fates
of the astronomers Hsi and Ho. The regulations regarding
eclipses as given in the Shu King read: " Being before the
time, the astronomers are to be killed without respite; and
being behind the time, they are to be slain without re-
prieve." With such a fate in store, who would dare be an
astronomer?
Many admirers of the Chinese, not being conversant with
the true facts, have pointed out this eclipse as evidence of
the great learning of the Chinese and their proficiency in
astronomical knowledge twenty centuries before the be-
ginning of the Christian era. Although not wishing to dim
the halo of glory that has surrounded early China, honesty
compels one to draw attention to the facts. For many
centuries the Chinese were unable to predict the position of
the sun accurately among the stars for determining the
length of the year. In fact, they seem to have relied wholly
on observation from year to year to settle their calendar.
No conclusions or systematic deductions were made from
their observations as is shown by the fact that their calendar
was continually falling into confusion.
To those who are interested in early chronological data to
be fixed by this and other remote eclipses, reference should
be directed also to Delambre, Histoire de I' Astronomic
Ancienne, Paris 1817, and to Johnson's Historical and
Future Eclipses, London, 1896.
6 ECLIPSES OF THE SUN
OTHER CHINESE ECLIPSES
The history of the Chinese Empire is very closely asso-
ciated with the name of Confucius, the immortal sage.
Confucius is the Latinized form of K'ung tsze (meaning
the philosopher K'ung, this being the family name).
Through his veins flowed the best blood of China. His
birth has an interesting romance connected with it. His
father Heih had a family of nine daughters but only one
son who was unfortunately a cripple. Realizing in his old
age that the K'ung name would probably become extinct
with him, he went to his neighbor of the Yen clan, and told
of his plight, and asked in marriage one of Yen's three
daughters. The youngest of the three became the mother
of Confucius, 551 or 550 B.C., Heih then being over seventy
years of age. The father died in the child's third year.
In his twenty-second year Confucius began his life as a
teacher, and he put into practice principles which every col-
lege professor of the twentieth century would like to follow,
namely, he would accept any pupil no matter how small the
fee, but as soon as lack of capacity or diligence was mani-
fested, the youth was sent away. " When I have pre-
sented," he is reported to have said, " one corner of a subject
and the pup\l cannot of himself make out the other three,
I do not repeat my lesson." Would that these methods of
education were prevalent today! His professed disciples
numbered 3000, of whom 70 or 80 were " scholars of
extraordinary ability." Most of his life was spent in the
province of Lu, the modern Ho-nan and Shantung.
Among the writings ascribed to Confucius are the follow-
ing:
(1) A preface to the Shu Ching, already referred to.
The preface is little more than a table of contents, and it is
very doubtful if Confucius had anything to do with it.
(2) He compiled, or edited the Shih Ching, or Book of
Poems. Originally numbering about 3000, only 311 were
retained by Confucius, of which we now possess 305. It is
the most ancient book of poetry in the world. The latest
of the poems has the date 585 B,C.
EARLY HISTORICAL ECLIPSES 7
(3) From his own hand comes the Ch'un CWin, or
" Spring and Autumn/' which is best known as the Annals
of Lu, his native state. This work has been preserved al-
most complete. It is a brief summary of the chief events
that took place in Lu during a period of 242 years from
722 to 481 B.C. It is a model for a historical document.
The facts are briefly itemized according to the seasons in
which they fell. As an example, in the year B.C. 612 there
are twelve entries, the fifth of which was recorded, " In the
autumn, in the seventh month, there was a comet which
entered Pei-ton (in Ursa Major)."
In the Annals of Lu are records of no less than thirty-
six eclipses of the sun, the first eclipse being observed
February 22, 720 B.C., and the last on July 22, 495 B.C.
The first of them is described as follows: " In the 58th
year of the 32nd cycle in the $ist year of the Emperor
King-Wang of the Chou Dynasty, the 3rd year of Yin-
Kung, Prince of Lu, in the spring, the second moon, on the
day called Ke-Sze, there was an eclipse of the Sun."
These ancient eclipses have been carefully investigated and
many papers concerning them have been published in the
Monthly Notices of the Royal Astronomical Society. The
conclusions are that it has been possible to identify no less
than thirty-two of the thirty-six. Apparently four of the
eclipses, those of April, 645 B.C., June, 592 B.C., September
19, 552 B.C., and June 18, 549 B.C. are in error and did not
take place. The record is a history of eclipses that were ac-
tually observed to have taken place. The inference is
readily drawn that the astronomers who recorded these er-
roneous eclipses saw some curious phenomenon around the
sun; and remembering the sad fate that befell the two
negligent astronomers, Hsi and Ho, and not wishing to take
any chances whatever regarding the safety of their heads,
they recorded the phenomenon as an eclipse.
In addition to the works from the hand of Confucius him-
self we are fortunately in possession of the Tso Chuan, a so-
called commentary. This is presumably by some one with
the name of Tso who took the bare entries in the work
by Confucius and enlarged upon each one to such an extent
8 ECLIPSES OF THE SUN
and with such remarkable genius and dramatic brilliancy
that the Tso commentary reads more like a prose epic than
an elaboration of a series of facts or annotations on the
text of a literary work. By its means there is vividly por-
trayed the intrigues, the alliances, the treacheries and the
jealousies of the various states which made up feudal China;
we can see with the clearness almost of a photograph, as-
sassinations, battles, heroic deeds, brilliant rescues and the
torments and horrors meted out by the conquerors to their
unfortunate victims. The Annals of Lu make the chronicles
of China in the sth, 6th and yth centuries before the birth
of Christ as full of action and as attractive as those of
France and England twenty centuries later. As a matter
of fact there appeared to be more of literary culture in
China in these early centuries B.C. than there was in Europe
a bare five hundred years ago.
The eclipse of February 22, 720 B.C. recorded in the
Annals of Lu is not the first. Chinese eclipse whose date can
be accurately fixed, for fifty-six years earlier there was an
eclipse of the sun preceded by an eclipse of the moon. In
the Shift Ching, or Book of Poetry referred to above, there
is an account which runs somewhat as follows: " Tenth
moon, her conjunction first day, sin-mao, sun he had eclipse,
also it very bad." The record ends by adding, " That moon
in eclipse is a thing only common. This sun in eclipse is a
thing very bad." The eclipse of the sun referred to took
place on September 6, 776 B.C., the eclipse of the moon
on August 2 r. The solar eclipse was visible only as a partial
eclipse in China while that of the moon was nine-tenths
total. It was during the reign of the notorius Yu-wang.
It is apparent that the eclipse of the sun was regarded by
the bard as a special warning to the lascivious Emperor.
The evidence of this eclipse is indisputable; it fixes* abso-
lutely without controversy the first certain date in <the
history of China. How far before this epoch the Chinese
history stretches is a matter of personal judgment and in-
dividual conjecture. As already pointed out, the records
of early dates are so unreliable that one of the early kings
is supposed to have reigned the impossible period of 102
CORONAL DISTURBANCES TO EAST OF SUN IN 1930, SHOWING " STRAWBERRY
DOME " AND LONGEST STREAMER
Photograph by Marriott with 63 -foot tower telescope.
EARLY HISTORICAL ECLIPSES 9
years. Egypt has her pyramids and ruined temples as
evidence of a much earlier civilization, but there are no
such relics in China. This Chinese eclipse antedates by
thirteen years the celebrated Nineveh eclipse.
Mr. John Williams, formerly Assistant Secretary of the
Royal Astronomical Society, made a careful examination
of the Chinese historical work called Tung-Keen-Kang-
Muh, a record of one hundred and one volumes which con-
tains a summary from earliest times to 1368 A.D. Informa-
tion concerning these eclipses can be found in the Monthly
Notices R. A. S. Fifty-six solar eclipses occurred between
481 B.C. and the beginning of the Christian era, and nearly
one hundred additional ones before the fourth century A.D.
ECLIPSES OF BABYLON
" In Babylon, in Babylon,
They baked their tablets of the clay;
And, year by year, inscribed thereon
The dark eclipses of their day;
They saw the moving finger write
Its Mene, Mene, on their sun.
A mightier shadow cloaks their light,
And clay is clay in Babylon." — NOYES.
According to L. W. King, Chronicles concerning the early
Babylonian Kings, 2, 76, 1907, it is recorded that " on the
twenty-sixth day of the month Sivan, in the seventh year,
the day was turned to night, and fire in the midst of
heaven. . . ." Cowell * has concluded that this probably re-
fers to a solar eclipse visible in Babylon on July 31, 1063 B-c-
By carrying the Babylonian records backwards from this
eclipse, a check is had on the acknowledged Kea-Tsze
6o-day calendar of the Chinese from which comes the date
of the eclipse of 2137 B.C. Unfortunately, there is no
knowledge concerning the name of the king in the seventh
year of whose reign the eclipse occurred. If this fact were
known, the early Babylonian chronology would be fixed
with fairly great certainty. It is possible to conjecture as
Langdon has done that the name of this king was Nabu-
shum-libur, but this name must be looked upon only as a
1 Monthly Notices, R. A. S., 65, 861, 1905.
10 ECLIPSES OF THE SUN
suggestion. All that is known of exact dates in Egyptian
and Babylonian chronology depends on the science of as-
tronomy, — on the occurrence of an eclipse of the sun in 763
B.C., and on the records of the astronomer Ptolemy as given
in his great work the Almagest.
There are no more interesting portions of the world's
early history than that connected with the lands contiguous
to the Persian Gulf. In Egypt, the gigantic pyramids, the
construction of which is justly regarded as one of the seven
wonders of the world, and the ancient temples point to a
civilization that was in a high state of development five
thousand years ago. Across the narrow Red Sea, more in-
teresting even than the land of the Pharaohs, is the country
of the Holy Scriptures where lived Adam and Noah, the
great King David, the holy prophets and the Lord Jesus
Christ. Up to the middle of the nineteenth century little
was known of ancient Babylonia and Assyria other than the
account given in the Bible. The country which is nearly
enclosed by the two great rivers the Tigris and Euphrates
from Bagdad to the Persian Gulf is bounded on the north
by Mesopotamia, on the east by the plain of Elam, on the
south by the Persian Gulf and on the west by the Arabian
Desert. To the north, in Mesopotamia, the country is more
or less mountainous, while to the south the terrain is flat
and marshy. In ancient times the plain was covered with a
complicated network of canals. The remarkable fertility
of the soil brought such great prosperity to these peoples
that they aspired to be the masters of the world. According
to Herodotus (i, 193), wheat commonly returned two
hundred-fold to the sower, while Pliny (N. H. xviii, 17)
states that it was cut twice each year. The native historian
Berossus remarked that wheat, barley, palms, apples and
many kinds of shelled fruit grew wild. The country was
studded thickly with towns. But alas, — the neglect of the
canals has changed the face of the land so completely that
the fertility that was once the wonder of the ancient world
has departed, and in its place there is nothing but a barren
and desolate waste, part of the year the land being a series
of swamps and marshes.
EARLY HISTORICAL ECLIPSES 11
The ancient city of Babylon was on the east bank of the
Euphrates about seventy miles south of Bagdad. The plain
of Babylonia was called Edin, the " Eden " of Genesis ii.
The chief city of Assyria, Assud, was on the west side of the
Tigris, while the three other great cities of Nineveh, Calah,
and Arbela were on the eastern bank of the Tigris.
The excavations at Nineveh by Botta and Layard opened
up a new world. Layard after indescribable difficulties laid
bare the palace of Sennacherib (705—680 B.C.) and that of
Assurbanipal (668-626 B.C.), and in the palace of the latter
was found a great library of tablets which finally numbered
no less than thirty thousand. These objects when not too
massive were transported to the Museum of the Louvre
or to the British Museum. The success of these discoveries
stirred scholars throughout the world, and the different
nations vied with each other in the prosecution of the inter-
esting search. The British and French continued their in-
vestigations, and in 1886 German archaeologists began their
work. Since 1888 expeditions have been organized by the
University of Pennsylvania and since 1903 by the University
of Chicago.
The language in which the ancient history is preserved
is the so-called Babylonian-Assyrian wedge-writing, the
cuneiform language of signs. No such thing as an alphabet
was known. As the $ sign means much to the American,
while to the resident of the British Isles the synonym of
money is conveyed by a different symbol, £, so these primi-
tive people expressed themselves in their tablets entirely by
signs. A wedge was used to make an impression in clay, and
the different combinations served to express a variety of
ideas. The decipherment of these tablets was a difficult
task. The most important progress was made through the
work of an Englishman, Henry C. Rawlinson, who observed
at Behistun a rock stretching up almost 1700 feet above the
plain, and at a point about 350 feet above its base there was
a large space carefully smoothed off. On this was found
a mass of inscriptions distributed in columns of various
lengths. After long years of work he succeeded in trans-
cribing the whole of the record. Careful study and long
12 ECLIPSES OF THE SUN
and arduous toil revealed the fact that the writing was in
three different languages, old Persian, Elamite and the
Babylonian. The decipherment was excessively difficult due
to the enormous number of signs employed. For simple
names there were about 600 independent and distinct signs
made by combinations of wedges numbering anywhere from
two to thirty. But two to six of these signs might be com-
pounded to express more complicated ideas, with the result
that there are something like 20,000 different signs known
to students of Assyriology. The number of inscriptions so
far found number about one hundred and fifty thousand.
The earliest mention of Babylon appears to be about
3800 B.C. The first great king was Sargon of Akkad who
lived about 2750 B.C. Even greater was Khammurabi the
Amorite who flourished about 2100 B.C. Concerning this
latter monarch, who lived over four thousand years ago,
we have positive information in a group of fifty-five of his
letters edited by L. W. King, and in a monument giving
a code of splendid laws. From his letters we learn that the
Babylonians kept their record of time entirely by the moon,
a new month beginning with each new moon. Twelve lunar
months made up the year. Since the synodic month is of
twenty-nine and a half days in length, it became necessary
to add in the reckoning of the year a thirteenth month from
time to time in order that the calendar should not get astray.
This method of measuring the length of the year, which is
both inaccurate and inconvenient, was followed by the
Hebrews and the Persians. Even in the enlightened age of
the twentieth century the Jewish and Mohammedan cal-
endars are still based on the old custom. An intercalary
month being inserted in the reign of Khammurabi, he ac-
cordingly sent out a circular letter to his governors advising
them that the delinquent tax gatherers should not take ad-
vantage of the change in the calendar and that the taxes
must be paid without delay. Schools flourished even at
this remote period, and tablets have been found which evi-
dently were exercises of the children as they struggled to
learn the language of signs. In fact a Babylonian proverb
BRIGHTER PORTIONS OF THE CORONA SHOWING SAME REGION AS PAGE 8
Photograph by Marriott with 63-foot tower telescope.
w
g 6
O cfl
g u
EARLY HISTORICAL ECLIPSES 13
has been unearthed which reads, " He who shall excel in
tablet-writing shall shine like the sun."
The kingdom of Assyria begins about 3000 B.C. Assyria
was a warlike nation, and lived by the sword. In the eighth
century B.C., their conquests had been pushed as far west-
ward as Damascus and to the Hebrew city of Samaria.
While besieging this latter city, the king was deposed and a
usurper called Sargon took the throne. Under him and his
son Sennacherib, Assyria was at the zenith of its military
power. Campaigns were carried out in Ionia and Greece
and also southward as far as Egypt, which became tributary
to Assyria. In Nineveh, Sennacherib constructed the largest
and most magnificent palace the world had seen up to this
time. In 689 B.C. he conquered the city of Babylon, and he
caused this holy city to be completely destroyed and all
of its buildings razed to the ground. After many years
Babylon under Nabopolassar, revolted from the Assyrian
yoke and under his son Nebuchadrezzar — the Nebuchad-
nezzar of the Bible — construction on a great scale was
carried out, and Babylon was rebuilt and became the wonder
city of the ancient world. According to Herodotus, the
walls were no less than 56 miles in circumference, the walls
being 335 feet high and 85 feet wide. Each city had its
great temple and its own god, the god of Babylon being
Bel-Merodach. In the temple stood an enormous image of
the god forty feet high, together with a table, a mercy seat
and an altar, all constructed of gold. In this reign (604-
561 B.C.), the rebuilt Babylon was at the height of her
glory and the summit of Chaldean civilization had been
reached.
This glimpse of the history of these early peoples of such
great interest to all Christian countries is for the purpose of
giving a setting for ascertaining what they had accomplished
in art, literature and science — particularly in the science of
astronomy. Assyria differed much from Babylonia. The
former state was an armed camp and held sway by the
sword, probably even in those early times believing that
might is right. On the other hand, the Babylonians were
peace-loving people, a land of merchants and farmers, and
14 ECLIPSES OF THE SUN
withal deeply religious. Consequently, Assyria had little
culture of its own and the little it did possess was borrowed
or acquired from. Babylonia.
One of the grandest epics of ancient Babylonia was the
description of Creation which is mentioned here on account
of its astronomical significance and also that it may be com-
pared with the Biblical description. In the first book an
account is given of the creation of the world out of the
primeval deep and the birth of the gods of light. Then
comes the story of the struggle between the gods of light
and the powers of darkness, and the final victory of Mero-
dach, who clove the dragon of chaos, Tiamat, asunder,
forming the heaven out of one half of her body and the
earth out of the other. Merodach next arranged the stars
in order, along with the sun and moon, and gave them laws
which they were never to transgress. After this the plants
and animals were created, and finally man. Merodach here
takes the place of Ea, who appears as the creator in the older
legends, and is said to have fashioned man out of clay.
Thus from very earliest times, the religion of the Baby-
lonians was inspired by the belief that the heavenly bodies
were subject to law and order and that they ruled the des-
tinies of man. It was evident even to the simple mind of the
primitive man that the sun was the cause of all life on the
earth, and it was a natural conclusion that the ever-changing
aspect of the sun, moon, planets and stars should be con-
nected with the constant mutations in the lives of the in-
dividuals of the race. Hence their gods and goddesses were
identified with the heavenly bodies. The priests became
astrologers. To be able to read the signs of the heavens
seemed to be synonymous with understanding the happen-
ings on earth, and consequently if this knowledge were to
be utilized to predict what would take place in the future
it was necessary to follow with the minutest care the vari-
ous motions of the sun, moon, planets and stars — and
hence the priests became astronomers. These religious be-
liefs caused a systematic study of the heavenly bodies; and
as a result astronomy, the first and parent of all of the
Sciences, had its birth.
EARLY HISTORICAL ECLIPSES 15
The movements of the sun and moon were symbols of law
and order, and accordingly they were worshipped as gods.
The motions of the planets, though more difficult to under-
stand, seemed also the subject of order and not of caprice,
and so likewise they were worshipped. Jupiter was the
abode of the Babylonian god Mardok, and Venus was the
home of the goddess of love, Ishtar. Saturn was identified
with Ninib, Mercury with Nebo, and Mars with Nergal.
In order to understand the manner in which the gods of the
sun, moon and planets influenced the lives of men, it was
necessary for the Babylonian priests to observe the position
of these bodies, not only with respect to each other, but also
with respect to the more prominent and easily recognizable
fixed stars. In the case of the moon it was very necessary
to note the time at which the new moon became visible as
a crescent, its position in the heavens, and the angle made
with the horizon by the line through the horns. (Even at
the present supposedly enlightened age of the twentieth
century A.D., we still hear of the " wet " moon, and the
" dry " moon.) The changes of the moon were followed
with meticulous care since each change afforded the op-
portunity of interpreting some phase of human activity.
And through forty centuries of the world's history some of
these superstitions have survived in the popular belief that
a change in the moon means a change in the weather, or
that certain crops should be planted " in the dark of the
moon." These observations of the heavenly bodies being
thus gradually accumulated must have reached a mass of
considerable proportion. For his interpretation of these ob-
servations the astrologer rested on written records or on
the recollection of what had happened under similar circum-
stances in the past, but sometimes merely on the vagueness
of association of ideas.
The motion of the sun and moon among the stars near the
ecliptic being carefully observed, it was but natural that
the twelve full moons of the year should suggest the divi-
sion of the circle of the year into twelve parts. We thus
owe to the Babylonians the constitution and nomenclature
of the twelve signs of the zodiac. Ages before AssurbanipaPs
16 ECLIPSES OF THE SUN
great library of tablets was constructed, the eighth month
was known as " the month of the star of the Scorpion/' the
tenth as " the star of the Goat/' while the twelfth was the
month of " the star of the Fish of Ea." The convenience of
the duodecimal system was thus early recognized. Each
day was divided into twelve " double hours. " The ner of
600, the sar of 3600 was formed from the soss, or unit of
60. The circle was divided into 360°, or six times sixty,
with further divisions by 60 into minutes and seconds of
arc, the hours being likewise divided into minutes and
seconds of time. According to Miss A. M. Clerke, " In the
Chaldean signs of the zodiac, fragments of several distinct
strata of thought appear to be subdivided. From one point
of view they shadow out the great epic of the destinies of the
human race; again the universal solar myth claims a share
in them; hoary traditions were brought into ex post facto
connection with them; or they served to commemorate sim-
ple meteorological and astronomical facts. " Astronomy
was thus of very old standing in Babylonia. The principal
astronomical work, called the Illumination of Bel was
compiled for the library of Sargon of Akkad ; it was inscribed
on 70 tablets, and apparently went through numerous edi-
tions, one of the tablets being in the British Museum. It
treats, among other things, on observations of comets, the
pole star, the conjunction of sun and moon, and the motions
of Venus and Mars.
However, since the study of orderly motions of the
heavenly bodies was primarily for the purpose of forecasting
human events, it is not surprising to learn from modern
researches that the early astronomical knowledge was very
crude, with very little perfection in the observations. It
is true that as early as the days of Khammurabi (2 100 B.C.)
there were combinations of prominent groups of stars into
outlines of animals and figures, yet there is no evidence that
prior to 700 B.C. more than a small number of the constella-
tions of the zodiac had found their place in the sky.
The Babylonians had tables of squares and cubes calcu-
lated from i to 60, they measured time by the sun-dial and
by water clocks, were familiar with lever and pulley, and
EARLY HISTORICAL ECLIPSES 17
even possessed a lens turned on a lathe, but which was cer-
tainly not used as a magnifying glass. Such proficiency in
this early people would lead one to expect that though their
observations may have been crude they had nevertheless
perfected systems of moon calculation and planetary tables
of a high order of excellence. The discovery of the Saros of
223 lunations, so useful and important in the predicting of
eclipses, has been attributed to the Chaldeans. They seem
also to have been aware that Venus returns in almost ex-
actly eight years to the same point in the sky and to have
established similar relations of 46 years for Mercury, 59
for Saturn, 79 for Mars and 83 for Jupiter. They were
thus able to fix in advance the positions of the heavenly
bodies, of such great importance in astrological lore. In
fact it is generally thought that Hipparchus, the first great
astronomer of the world, acquired much of his information
from the Chaldeans, though unquestionably he verified
all of their findings. The Babylonian sage Berossus founded
a school about 640 B.C. in the island of Cos, and it is not
impossible that Thales of Miletus was one of his pupils.
In spite of the unbounded admiration which one must
feel for the development of astronomy under the Chaldeans
it seems much more plausible to believe that the greatest
work of the Chaldeans was accomplished in the later years
of their history, this taking place even after the fall of
Babylon in 539 B.C., and in fact after the Greeks had in-
vaded the valley of the Euphrates. This matter, and partic-
ularly their acquaintance with the Saros, will be further
discussed in dealing with the famous eclipse of Thales.
The study of astrology thus securing a firm foundation
under the Babylonians, it spread from them, directly or in-
directly, to all quarters of the globe. It came to Greece
about the middle of the fourth century B.C., and reached
Rome before the opening of the Christian era. In India
and China both astronomy and astrology were acquired from
the Greeks, and are largely reflections of Greek theories
and speculations. By the introduction of Greek culture
into Egypt, astronomy and astrology were both cultivated
in the land of the ancient Pharaohs during the Greek and
18 ECLIPSES OF THE SUN
Roman periods. The Arabs developed astrology and also
astronomy, many of the names of the brighter stars being
Arabic. In Europe as late as the i4th and isth centuries,
astrologers had important positions at the royal courts
and were consulted on all matters of great moment to the
nation. With the revival of learning, and particularly after
the development of the Copernican system which showed
that the earth was but one of the planets, astrology became
more and more pushed into the background, though as
late as the iyth century horoscopes were cast by the great
astronomer Kepler. Even in the United States of America
and in England there are still many thousands of people
who believe in the flat earth, and who have great confidence
in the efficacy of horoscopes to correctly forecast the future.
Traces of the Babylonian astrology are still found in our
every-day language, for we still have such phrases as " I
thank my stars," he was " born under a lucky star," or an
" ill-starred undertaking."
As already stated, the Babylonians had a calendar of
twelve lunar months, and a seven-day week, the seventh
day being a day of rest. The early Babylonians reckoned
events from some great catastrophe, such as in our day,
Chicago and its great fire, but later in their history they
counted time by the years of the reigning king. There were
several early dynasties, but the succession of rulers is fairly
certain. In Assyria, on the contrary, a plan unique among
the early peoples was followed in naming the year after
officers, called eponyms, whose term extended for one year
only. This " Eponym Canon," as it is called, began with
the year 911 B.C. In the Almagest of Ptolemy there is a
list of Babylonian, Assyrian and Persian kings who ruled
in Babylon together with the years each of them reigned be-
ginning with the accession of Nabonassar in 747 B.C., to
the conquest of Babylon in 33 1 B.C. by Alexander the Great.
This Ptolemaic Canon is confirmed by other Babylonian
chronicles and also by the Assyrian Eponym Lists.
These Assyrian tablets record three eclipses of the sun.
The first, interpreted by Rawlinson in 1867, is referred to
as follows: " In the Eponymy of Burgasole, Governor of
EARLY HISTORICAL ECLIPSES 19
Gozan, a revolt in Assur took place in the month Sivar,
and the sun was eclipsed." To call attention to the im-
portance of the event the ancient scribe drew a line across
the tablet. This eclipse has been carefully investigated by
a number of astronomers, by Ginzel, Airy, Hind and others,
and the general conclusion is that Nineveh, where lived the
Assyrian scribe, was just outside the path of totality, and
that the greatest obscuration was about 9:47 in the morning
of June 15, 763 B.C. The second eclipse mentioned in the
Assyrian records took place in the reign of Esar-haddon,
the son and successor of Sennacherib. This eclipse was
partial in Assyria, but annular farther to the east, and the
date was May 27, 669 B..C. The record of the third is a
little uncertain, but it is probably the eclipse of June 27,
66 1 B.C., during the reign of Assurbanipal.
These are not the only eclipses observed by the Chaldeans,
for in the Almagest of Ptolemy is a record of three eclipses
of the moon observed in Babylon. The first of the three
was a total eclipse on March 19, 721 B.C., while the other
eclipses, partial only, were observed the following year,
on March 8, and September i. As has been stated above,
Ptolemy gave a list of the kings who reigned in Babylonia.
These eclipses, of sun and moon, fix the dates of Eastern
chronology with great exactness, the earliest date in the
world's history to be thus accurately determined being the
year 911 B.C. in Assyrian chronology. Earlier dates are
known with increasing uncertainty. The various estimates
of historians for the beginning of the first Egyptian dynasty
differ as much as two thousand years!
As a result of the Babylonian eclipses, it has been neces-
sary to alter the chronology of the Bible by lowering the
dates to the extent of twenty -four years. This will be re-
ferred to later in connection with passages from the Holy
Scriptures in Amos and Isaiah.
EGYPTIAN ASTRONOMY
In the neighboring country of Egypt excellent opportunity
must have been afforded for a study of astronomy on ac-
20 ECLIPSES OF THE SUN
count of the clear skies of the East and from the intercourse
which must certainly have taken place between the Egyp-
tians and the Chaldeans of Asia Minor. Egyptian records
accordingly have been carefully scrutinized to find what
traces there are of early astronomical knowledge in the land
of the Nile. And since a study of eclipses must concern
itself with the beginnings of astronomy, a brief glance will
be given here to early history in Egypt.
The early Chaldean monuments are probably of an earlier
date than those of Egypt, but the former are almost form-
less piles of sundried brick, while the tombs and pyramids
of the early Egyptian dynasties are many of them in excel-
lent preservation. The history of Egypt is generally di-
vided into five periods:1 (i) The Ancient Empire, 3400-
2160 B.C., comprising ten dynasties of kings; (2) the Middle
Empire, with Thebes as capital, two dynasties; (3) the
second Thebic, or New Empire (1588-1150 B.C.), compris-
ing dynasties XVII-XX, separated from the Middle Em-
pire by the Shepherd Kings of Arabia; (4) the Decadence
period of six dynasties, 1150-324 B.C., which includes the
Persian conquest in 525 B.C.; and (5) the Ptolemaic and
Roman period, 324 B.C.-300 A.D.
Little is known of exact dates before the Conquest by
Alexander although repeated attempts have been made to
determine them. The list of the succession of the Egyptian
kings is known with certainty, but the chronology is uncer-
tain for the following reasons: (i) The lengths of the in-
dividual reigns are not known with precision, since the
record seldom reached to the end of the reign, and did not
allow for co-regencies. (2) Calculations on the probable
length of a period leads to no trustworthy information. (3)
Comparisons with other records, particularly with those of
Babylonia and Assyria, give the most valuable knowledgee
But the dates before 911 B.C. are not known accurately even
in Assyrian chronology, and it is therefore not surprising
that the date of the beginning of the XlXth dynasty should
be estimated by competent authorities anywhere from 1490
B.C. to 1315 B.C. (4) Of most interest to us here is the
1 Hamlin, Encyclopedia Americana, 10, 12.
EARLY HISTORICAL ECLIPSES 21
astronomical information. The Egyptian number system
was decimal, each power of 10 up to 100,000 being repre-
sented by a different figure, on much the same principle as
the Roman numerals. The day was divided into two periods,
each of twelve hours, the beginning of the day being the time
of sunrise. The year was divided into twelve months, each
of thirty days, or a year of 360 days. As early as the Vth
dynasty, the premature arrival of the seasons was noted,
and as a consequence five complementary days were added
making a year of 365 days. The extra days were counted
either at the beginning or at the end of the year. The year
was divided into three seasons, each month into three weeks,
each of ten days. Since the season of agricultural growth
depended more on the inundation by the Nile than on the
motion of the sun, the first of the year was reckoned as the
beginning of the rise of the waters of the river. As this took
place with fair regularity, the Egyptians were thus furnished
with a useful starting-point for their annual counting of
time. It was noticed that the brilliant dog-star, Sirius, or
Sothis, rose with the sun about this time (July 19), and as
this star is so brilliant, refined astronomical measurements
were not necessary in order to observe it. But the tropical
year, the year of the seasons, is approximately a quarter of
a day more than 365 days. (The tropical year is now known
to be equal to 365.2422 mean solar days.) Hence the
Egyptian calendar got astray one month every 121 years,
or one year every 1461 years. This period, during which
the New Year's day of the Egyptians traveled all round
the calendar, was known to Greek and Roman writers
in the first century B.C. Would that Julius Caesar when
revising the Calendar — the Julian being the basis of
the Gregorian, or modern calendar — had followed the sim-
plicity of the Egyptian calendar, at least in keeping each
month of a uniform number of days, and would that pride
and jealously had not robbed poor February of two days!
The modern calendar is very awkward and inconvenient, and
there have been many attempts suggested for the purpose of
revising it. Most of the modern revisions proposed call for
an extra day in the year, or two extra days in leap years,
22 ECLIPSES OF THE SUN
which days are not to be included in the reckoning of any
week or any month. Attention should be called to the fact
that the five extra days of the Egyptian year — recorded as
early as the Vth dynasty — were regarded as so peculiarly
unlucky that there is not a single instance, among the many
thousands of inscriptions brought to light, of any contract
being entered into on any one of the five complementary
days, nor has any event of importance ever been recorded
as taking place on one of these unlucky days.
The brilliant skies of Egypt favored the development of
observations. It is generally believed that the Egyptians
observed the motions of the heavenly bodies for the purpose
of fixing the dates of their religious festivals. These times
were probably noted by observing the times at which certain
of the brighter stars arose at dawn just before the sun. For
accomplishing this object no instruments were necessary.
They also determined the hours of the night by observing
the meridian passage of certain stars. What is thought to be
the oldest type of observing instrument in the world, known
to the Egyptians as merkhet, was probably utilized for this
purpose. It consisted of a handle supporting a plumb bob
and a reed which served as a sighting vane. By means of
this and with the help of the ancient Egyptian horoscopus,
or clock, the meridian could be laid out and time determined
by observation. There have been preserved the titles of
several temple books, which books apparently recorded the
movements of the sun, moon and stars, but unfortunately,
not a single one of these records themselves have survived.
The Egyptians were of an intensely practical turn of mind,
and they had little desire to acquire knowledge for the sake
of the knowledge itself. If the information could be utilized
for any practical use it was carefully cherished and pre-
served, or if it could assist in their religious speculations
it was then regarded of great value. If we are to judge of
the accomplishments of the Egyptians by the written docu-
ments alone, we must assume that they knew little and
cared less for any branch of science. But then, there are the
pyramids, and the great temples such as Karnak! Surely
the architects and engineers who constructed such colossal
EARLY HISTORICAL ECLIPSES 23
monuments must have possessed knowledge of surveying
vastly greater than is shown by any written record. The
construction of the Great Pyramid apparently took place less
than a century and a half after the elevation of the earliest
piece of stone masonry known. Since these pyramids could
have been erected only by means of great mechanical power,
we are forced to the conclusion that the progress in the con-
trol of such power was greater at the thirtieth century B.C.
than at any other age of the world's history except the
present. The pyramid was placed four square to the points
of the compass, and leading to the sepulchral tomb there was
a passage at an angle of 26° to the horizon, which has been
thought furnished a corridor for observing the star which
was then the pole star, a Draconis. With this assumption,
an estimation has been made of the possible age of the pyra-
mids. According to C. Piazzi Smyth, the passage in the
pyramid facing the south was used for the observation of
the meridian passage of the stars and planets, and it is even
possible that the moon and sun were similarly observed.
Proctor thinks that if the Egyptians had utilized an opaque
screen with a small round hole in it at the southern end of
this gallery they could even have observed sun-spots!
It is plausible to believe that the Great Pyramid was pos-
sibly designed to serve as an astronomical observatory, but
the truth is that not a single competent Egyptologist sup-
ports this view. As Breasted has pointed out, the careful
orientation of the pyramid with its passage directed towards
the north star is in keeping with the popular belief that the
king was transmuted into a star, — hence the shaft directed
towards those stars in the sky which never set.
According to E. W. Maunder, the symbol of the sun-god,
so frequently found on Egyptian monuments, is sufficient
evidence to prove that total eclipses of the sun were ob-
served in Egypt. The general design of this symbol is a
circle with striated wings to right and to left, and with
a lesser extension in the downward direction, but with
nothing above the circle. As pointed out by Maunder,
the extensions to right and left call to mind and re-
semble the form of the solar corona when the eclipse, oc-
24 ECLIPSES OF THE SUN
curring at sun-spot minimum, has the equatorial wings.
This explanation is indeed plausible, and it is not impossible
that it represents the truth. To use the coronal form for the
symbol of the sun would have necessitated that the corona
had been frequently observed by the Egyptians, and at more
than one age. Such symbols could be adopted by a people
only after slow awakening and continued observation. Con-
sequently, if eclipses had been so frequently observed it
would be rational to expect that records of some of them
would have been preserved. Considering the frequency
with which eclipses were observed in Babylon, it is surprising
in the highest degree to find not a single reference any-
where in Egyptian antiquity to an eclipse, either of the sun
or of the moon. We are therefore forced to the conclusion
that the Egyptians had little part in the development of the
science of astronomy.
The New Empire beginning with the XVIIIth dynasty
marks the golden period of Egyptian life. This was the age
of conquest with an empire stretching from the Euphrates
to the fourth cataract of the Nile. Egypt had become a
great military empire whose world power lasted from the
early sixteenth to the twelfth century B.C., or over four hun-
dred years. The capital was the once vast city of Thebes
constructed on both sides of the river Nile, the first great
monumental city built by man. On the east side of the river
is the temple of Karnak which is nearly a quarter of a mile
long and was nearly two thousand years in the course of
construction. The obelisk of Queen Hatshepsut, the first
great woman queen of history, is still standing. This is
about one hundred feet high and weighs 350 tons. The
first of the world's great generals was Thutmose III, who
ruled for fifty years beginning about 1500 B.C., and on the
walls at Karnak are inscribed the stories of his great ex-
ploits.
The recent discovery of the tomb of Tut-ankh-Amen has
brought into sudden prominence that portion of Egyptian
history immediately following the reign of Thutmose III.
While little light so far has been thrown on the actual his-
torical facts of the lives of Tut-ankh-Amen and his im-
.
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EARLY HISTORICAL ECLIPSES 25
mediate predecessors, the incomparable beauty of the
objects of art found within the tomb bids fair to revolu-
tionize the history of Egyptian art and literature. It is to
the influence of the religious upheaval brought about by
Khu-n-aten, the successor of Thutmose IV, and reputed
father-in-law of Tut-ankh-Amen, that the revolution in
artistic and literary expression is due. This monarch,
known as the " heretic king/' physically a weakling, men-
tally a poet and dreamer, revolted from the polytheistic
religion of his forefathers and founded a new faith which
deified the sun as the giver of all light and life. This
worship, with Aten the sun as its visible symbol, had many
points in common with Christianity and has been regarded
as the most beautiful of the ancient religions. In his en-
thusiasm for the new faith, however, Khu-n-aten allowed
the material needs of his empire to go unheeded to such
an extent that at his death the confusion and distress
throughout Egypt was so great that his successor was forced
to give way to the strong political power of the priests of
the old religion, and Amen once more became the chief
Egyptian god. It was in the shadowy period between Khu-
n-aten and Rameses I that Tut-ankh-Amen's brief reign
occurred.
The oldest astronomical instrument in the world has re-
cently been discovered by Breasted. The interest in this
remarkable discovery is all the greater for the reason that
it is believed that the instrument was actually made by no
less a personage than King Tut-ankh-Amen himself. This
object, a merkhet, consists of a rectangular strip of ebony
wood 10 x i x Jr inches. Along each edge, extending from
end to end, is an inscription which states that the instrument
was made by King Tut-ankh-Amen, "with his two hands,"
as a restoration of a similar monument stolen from the tomb
of his ancestor, Thutmose IV. Indeed, the tomb of the
latter contains a remark in ink on the wall stating that his
tomb had been restored (of course after robbery) by Harm-
hab, who was practically the successor of Tut-ankh-Aijien.
Apparently the ancient Egyptians were quite accustomed
26 ECLIPSES OF THE SUN
to despoiling the tombs of their ancestors; that of Thutmose
IV had already been robbed during the reign of Tut-ankh-
Amen while that of the latter king was soon to follow a
similar fate.
The XlXth dynasty began with Rameses I, whose reign,
according to Breasted, commenced about 1315 B.C. This
king reigned only two years, but he had planned and had
started construction on the great colonnaded hall at Karnak,
the greatest of such edifices ever constructed by man. It is
338 feet long and 170 feet wide. There are one hundred and
thirty-six columns in sixteen rows, those in the nave being
higher than the rest. Rameses shared his throne with his
son Seti I for one year, and Seti continued the gigantic
plans of his father. In addition he built a splendid temple
at Abydos, and a magnificent tomb in the Valley of the
Tombs of the Kings. This galleried tomb is the very finest
of its kind. The decorations are wonderfully charming, full
of life and color though perhaps lacking some of the strength
and character of earlier art. The outlines are forceful, the
postures natural and the coloring beautiful. Egyptian art
had reached the pinnacle. The Metropolitan Museum of
Art of New York has been conducting operations at this
magnificent tomb of Seti I. The photographs of the tomb
examined with care give glimpses of the glories of the tomb
and show some of the decorations which include the Lion
surrounded by stars and the Bull. A careful scrutiny of
photographs of this and other tombs appears to show that
the stars connected with the Lion and the Bull in no way
refer to the well-known zodiacal constellations of Leo and
Taurus. In fact, the signs of the zodiac were not acquired
from the Chaldeans until fairly late in Egyptian history,
for there is no record of them until after the Ptolemaic
period. If the Grand Pyramid had been in Babylon instead
of Egypt it is safe to say that it would have been used as an
astronomical observatory. The Egyptians were not inter-
ested in systematized observations, and throughout the long
years of their interesting history they contributed but little
to the science of astronomy.
CHAPTER II
BIBLICAL AND CLASSICAL ECLIPSES
IT IS safe to say that there is certainly one allusion in
the Holy Scriptures to a solar eclipse, with one or two
others possible. In Amos viii, 9, appear the words,
" I will cause the sun to go down at noon, and I will darken
the Earth in the clear day." The language is so unmistak-
able and gives such a precise description of an eclipse of the
sun that commentators have generally agreed that such a
phenomenon must have taken place. This and other Scrip-
tural references have been so fully and so carefully inves-
tigated by Chambers in The Story of Eclipses, and by John-
son, Eclipses, Past and Future, that a brief reference only
will be given here.
The date set down in the margin of certain Bibles oppo-
site this passage in Amos is 787 B.C. Eclipses were visible
in the neighborhood of Samaria in the years 791 B.C., 771
B.C., 770 B.C. and 763 B.C. This last mentioned is the eclipse
of Nineveh already described, an eclipse which was visible
also in Samaria. There seems no doubt whatever that this
is the eclipse predicted by Amos. It therefore becomes
necessary to lower by twenty-four years the date given in
Amos; and if this is done there is a ready explanation of
the story in the life of King Hezekiah, as given in II Kings
xx, ii. The Old Testament thus reads: " And Isaiah the
prophet cried unto the Lord: and he brought the shadow
ten degrees backward, by which it had gone down in the
dial of Ahaz." Ahaz was the father of Hezekiah, and the
" dial " was probably a sun-dial similar in construction to
the ancient sun-dials of masonry still existing at Benares
and Delhi in India.
The Biblical peoples at this period of their history were
divided into two. In the North, the land was rich and fer*
27
28 ECLIPSES OF THE SUN
tile and great prosperity and wealth abounded. The people
Hved in large towns, they dressed and lived extravagantly.
Moreover these people of Israel had adopted the gods of the
Canaanites, each town in fact having its own god, or " baal."
To the South, the land was poor, encroaching as it did on the
desert, and the people of Judah had to struggle for their
existence. The only large town was Jerusalem. The Jews
were still faithful to the Hebrew God, Jehovah. The shep-
herd Amos being a devout follower of Jehovah made a
journey to Israel, and thundered his denunciations against
their many gods, and against their gaudy clothes, their licen-
tiousness and harsh treatment of the poor.
About this time the Hebrews were beginning to learn to
write, and they were abandoning the clay tablet and the
cuneiform inscription of the Assyrians and Babylonians.
They wrote on papyrus and with pen and ink, which method
of writing they had acquired from their former masters, the
Egyptians. However, they borrowed the first alphabet the
world had developed, that of Phoenicia. The papyrus rolls
written by Amos and other historians have descended to us
as the Hebrew Scriptures. On account of the evil lives of
the people of Israel, Amos predicted their destruction.
Damascus was taken by the powerful Assyrians in 732 B.C.,
and thus being unprotected on the north, Samaria, the capi-
tal of the kingdom of Israel, was captured in 722 B.C., the
Israelites being taken away captive and their nation de-
troyed.
Shortly before 700 B.C. arose the great prophet Isaiah.
In one great oration after another he exhorted the people of
Jerusalem to believe in their God, Jehovah, and not be dis-
mayed for He would deliver them from the hosts of the
powerful Assyrian, Sennacherib, who was then threatening
to batter down the city. The king of Jerusalem, Hezekiah,
was sick unto death, and the same tragic fate as had befallen
Damascus and Samaria seemed to be awaiting the people of
Jerusalem. In answer to a prayer of Hezekiah for recovery
the prophet was sent to him with this message: " Thus
saith the Lord, the God of David thy Father, I have
heard thy prayer, I have seen thy tears: behold I will add
BIBLICAL AND CLASSICAL ECLIPSES 29
unto thy days fifteen years . . . and I will defend this city,
and this shall be a sign unto thee from the Lord, that the
Lord will do this thing that He hath spoken. Behold, I will
bring again the shadow of the Sun, which is gone down in
the sun-dial of Ahaz ten degrees backward, by which degrees
it had gone down." (Isaiah xxxviii, 5-8.)
There was a large partial eclipse of the sun visible in
Jerusalem on January n, 689 B.C. If we accept the correc-
tion of twenty-four years derived from the record of the
eclipse of Nineveh, then according to Chambers (loc. cit.\
this eclipse of Jerusalem will completely satisfy the Biblical
narrative at all points. History tells that a pestilence from
the marshes of the Nile caused great havoc in the army of
Sennacherib, and thus was Jerusalem miraculously spared.
See also in this connection, II Kings, xix, 32-37. About a
century later the Hebrews rejoiced over the destruction of
Nineveh in 606 B.C. But unfortunately, the days of Jeru-
salem were numbered. The Chaldeans followed Assyria as
masters of Palestine, Jerusalem was destroyed in 586 B.C.
under Nebuchadnezzar, and the people were carried away
into exile in Babylon.
The dates herewith given in Babylonian and Assyrian
history admit of no uncertainty since they are determined
by eclipses. As a consequence, the dates appearing in the
Bible must be altered to fit those of verified history. It
would be interesting to follow the history of the Hebrews
through the lives of Jeremiah and other prophets — but
space forbids. The reader is referred to Breasted, Ancient
Times, a History of the Early World, and also to many
other books on this period of history which is of the greatest
of interest to all Christian peoples.
ECLIPSES OF CLASSICAL LITERATURE
It will be possible to give an account here of but a few of
the eclipses referred to in the Classics, and we shall begin
with Homer. On the day of the slaughter of the suitors,
there is a passage in the Odyssey (v. 351-357), which prob-
ably refers to an eclipse of the sun. The lines run:
30 ECLIPSES OF THE SUN
" Ah, wretched men, what evil is this that you suffer?
Shrouded in night are your heads and your faces and your
knees beneath you; kindled is the sound of wailing, bathed
in tears are your cheeks, and sprinkled with blood are the
walls and the fair rafters. And full of ghosts is the porch
and full the court, of ghosts that hasten down to Erebus
beneath the darkness, and the Sun has perished out of
heaven, and an evil mist hovers over all."
According to Fotheringham (loc. aY.), the words, " The
Sun has perished out of heaven/' must refer to a total
eclipse, and in fact most commentators, including Plutarch
and Eustathius, agree in this interpretation. Apparently,
the eclipse was contained in the legend as it descended to
Homer, — though naturally it is impossible to fix the exact
date of the eclipse.
The next eclipse is one referred to by the Greek poet
Archilochus, a portion only of whose work has come down
to us. The lines are: " Zeus, the father of the Olympic
Gods, turned mid-day into night, hiding the light of the
dazzling Sun; and sore fear came upon men." According
to the investigations of Oppolzer and Cowell, the poet
must have witnessed the eclipse of April 6, 648 B.C., the
eclipse being total about 10 A.M. at Thasos and in the north-
ern part of the Aegean Sea. We know that the poet spent
part of his time at Thasos, and if his statement actually
gives the description of an eclipse, it thus furnishes the
earliest date in Grecian chronology to be fixed with cer-
tainty. The early accepted dates must accordingly be re-
duced by fifty years, but no surprise need be felt as they
were known only with great uncertainty.
ECLIPSE OF THALES
The most celebrated eclipse of all history is that con-
nected with the name of Thales of Miletus who lived from
640 to 546 B.C. He was the founder of Greek astronomy,
geometry and philosophy. He was regarded by the Greeks
with great veneration, and he was the chief of the seven
" wise men," a reputation which rested not only on his
BIBLICAL AND CLASSICAL ECLIPSES 31
scientific eminence but also on his political sagacity. Ac-
cording to the historian Herodotus (i, 74), the reference to
the eclipse is as follows: " There was war between the
Lydians and the Medes for five years, each won many vic-
tories from the other, and once they fought a battle by
night. They were still warring with equal success, when it
chanced, at an encounter which happened in the sixth year,
that during the battle the day was turned into night. Thales
of Miletus had foretold this loss of daylight to the lonians,
fixing it within the year in which the change did indeed hap-
pen. So when the Lydians and Medes saw the day turned
to night they ceased from fighting, and both were the more
zealous to make peace." The truce concluded was cemented
by a double marriage, " for/' adds the historian, " without
some such strong bond, there is little of security to be found
in men's covenants." The same eclipse is referred to by
both Pliny and Cicero.
The narrative by Herodotus contains two statements,
that the eclipse was total (a " night battle "), and that the
eclipse was predicted by Thales. It is in regard to the
second fact that the controversy has arisen among* astrono-
mers. Various dates for the eclipse have been assigned,
from 625 B.C. to 583 B.C. But after careful researches of
many competent authorities — Airy, Hind, Zech, Hansen,
Ginzel, Newcomb, Cowell, Fotheringham and others — the
date of May 28, 585 B.C., has been fixed, the eclipse taking
place in the afternoon. The general consensus of opinion is
that Thales was probably familiar with the Chaldean Saros
of 223 lunar months or 18 years n days. In fact, by some it
has been thought (see, George Smith, Assyrian Discoveries}
that the Babylonians were actually making use of the Saros
for the prediction of eclipses. Herodotus does not claim that
the day and hour of the eclipse were predicted nor yet the
locality where it was to be visible, these being much more
difficult problems and incapable of being solved by Thales.
The eclipse was predicted only " within the year." It is
therefore not necessary to credit Thales with extraordinarily
abnormal powers, or to assume that he was in possession of
information which was known first to Hipparchus more than
32 ECLIPSES OF THE SUN
four hundred years later. Apparently the Greek " wise
man " utilized the eclipse of May 17, 603 B.C., for the pur-
pose of his prediction.
Probably the greatest difficulty of all concerning the iden-
tification of this eclipse of Thales has been to know just how
much credence could be placed in the account of Herodotus.
Some of the ancient writers go so far as to accuse him of
" intentional untruthfulness." Modern critics while not go-
ing to this extreme, none the less feel that his love of effect
and his loose and inaccurate habits of thought make of him
an attractive writer, but a poor historian. A case in point
might be cited, the eclipse which is described by Herodotus
(vii, 37) as follows: " At the first approach of spring, the
army quitted Sardis and marched towards Abydos; at the
moment of its departure the Sun quitted its place in the
heavens and disappeared, though there were no clouds in
sight and the day was quite clear; day was thus turned into
night. " We are told that " As the King was going against
Greece, and had come into the region of the Hellespont,
there happened an eclipse of the Sun in the East; this sign
portended to him his defeat for the sun was eclipsed in the
region of his rising, and Xerxes was also marching from that
quarter." The generally accepted date of the battles of
Thermopylae and Salamis is 480 B.C. No eclipse occurred in
the spring of that year. Many attempts have been made to
find an eclipse that would harmonize with the statement of
Herodotus, but all of no avail, — unless we are willing to
make changes either in the date or in the narrative. It
seems necessary to conclude that the eclipse incident adds
greatly to the attractiveness of the story, — but that it is
not history. Unfortunately, even at the present day,
authors still try to embellish their stories with celestial
phenomena, but do not stick too closely to the facts. One
of the " best sellers " appearing recently in the field of fic-
tion had in it no less than four astronomical blunders.
The next eclipse to be mentioned was seen in Athens in
B.C. 431, August 3. It is described by Thucydides (ii? 28)
who states that during the Peloponnesian War " things for-
merly repeated on hearsay, but very rarely confirmed by
BIBLICAL AND CLASSICAL ECLIPSES 33
facts, became not incredible, both about earthquakes and
eclipses of the Sun which came to pass more frequently than
had been remembered in former times." An eclipse occurred
in the first year of the war, " in the same summer, at the
beginning of a new lunar month (at which time alone the
phenomenon seems possible), the Sun was eclipsed after
midday, and became full again after it had assumed a cres-
cent form and after some of the stars had shone out" The
account, differing from the flowery but uncertain language
of Herodotus, is clear and definite, and refers to an eclipse
which evidently was not total at Athens where Thucydides
was supposed to be. The only difficulty in fixing the eclipse
has arisen from the last part of the statement, that stars
were visible. Venus was 10° distant and undoubtedly must
have been readily seen, but what other star, or stars? The
eclipse in B.C. 431 was seven-eighths total. To make a long
story short, it sufficeth to say that at the eclipse of April 8,
1921, which was eight-ninths total at Oxford, the star Vega
was readily seen. It must be concluded, therefore, that the
account of Thucydides is strictly in accord with the facts
and that the stars Venus, Vega and probably Jupiter 43°
distant were seen.
This same eclipse has an interesting anecdote connected
with it which has been narrated by Plutarch in his Life of
Pericles who was the commander of the Grecian naval
forces. " The whole fleet was in readiness, and Pericles on
board his own galley when there happened an eclipse of the
Sun. The sudden darkness was looked upon as an unfavor-
able omen, and threw the sailors into the greatest consterna-
tion. Pericles, observing that the pilot was much astonished
and perplexed, took his cloak, and having covered his eyes
with it, asked him if he found anything terrible in that, or
considered it a bad presage? Upon his answering in the
negative, he asked ' Where is the difference, then, between
this and the other, except something bigger than my cloak
causes the difference? ' "
Another eclipse recorded by Thucydides (iv, 52) has been
identified with the annular eclipse of March 21, 424 B.C.
The last of the eclipses described by Thucydides (vii 50)
34 ECLIPSES OP THE SUN
is one of the moon, and it has a tragic story connected with
it. The Athenian fleet and army were engaged in an attack
on Syracuse, the fleet being under the command of Nicias,
and Demosthenes had arrived with large reinforcements
for the army. The latter had failed in his purpose of cap-
turing a wall which the Syracusians had thrown across the
Athenian lines, and as a result of this failure it had been
decided to withdraw the whole Athenian forces. On the
night of August 27, 413 B.C., the whole force had embarked
and was ready to flee. Before a start was made, however,
an eclipse of the moon took place which became total.
Nicias was greatly terrified, for it seemed easy to under-
stand the cause of an eclipse of the sun, but very difficult
to make out " how the moon, when at the full, should sud-
denly lose her light and assume such a variety of colors."
The soldiers and sailors added their terror to that of the
commander and as a result the soothsayers were consulted.
The advice was to remain for thrice nine days, — but alas,
before that time the Athenians had been utterly routed, and
Nicias and Demosthenes were both executed.
Plutarch records an eclipse of the sun which took place
July 13, 364 B.C., and both Plutarch and Pliny give an ac-
count of a total eclipse of the moon September 20, 331 B.C.,
eleven days before the victory of Alexander over Darius at
Arbela in Assyria.
Another interesting eclipse of the sun is connected with
the name of Agathocles, the tyrant of Syracuse. The narra-
tives of the two historians Justin and Diodorus Siculus agree
so well that the astronomer has been able to fix exactly the
circumstance of the eclipse. In 310 B.C. Syracuse was again
besieged, this time not by Athens, but by Carthage. On
the evening of August 14, Agathocles slipped out of the har-
bor with his whole fleet of sixty ships. He was pursued by
the Carthaginians, who abandoned the chase at night-fall.
According to the historical accounts, there was an eclipse of
the sun on the following morning, and as a consequence day
was turned into night, and stars appeared everywhere in the
firmament. The soldiers were at first afraid, believing the
eclipse to be an ill omen, but their fears were quickly calmed
BIBLICAL AND CLASSICAL ECLIPSES 35
by their commander who, according to Justin, told them that
eclipses " always signify a change of affairs, and therefore
some change was certainly signified, either to Carthage,
which was in such a flourishing condition, or to them, whose
affairs were in a very ruinous state." Apparently, these
words of Agathocles seemed to have inspired his men that
an eclipse might even be an omen for good. At any rate,
he was able to make good his escape from the fleet of the
Carthaginians, and after six days and nights he succeeded
in landing on the coast of Africa and in devastating the
territories of proud Carthage.
The readiness with which Agathocles and Pericles quieted
the fears of the sailors calls to mind the genius of Columbus
who? on more than one occasion, had to quell mutinies among
the members of his little fleet, they being greatly perturbed
on discovering that the compass needle did not point to the
true north as given by the pole star.
Mention of only one other eclipse before the beginning
of the Christian era will be made here. An eclipse is gen-
erally regarded to have taken place when Julius Caesar was
crossing the Rubicon on his triumphal return to Rome from
Gaul. But it seems to be necessary to class this eclipse
along with that connected with the name Xerxes, — for it
failed to occur.
In the investigations into the authenticity and accuracy of
the early eclipses, the greatest difficulty has arisen from the
vagueness and uncertainties of the account of the chronicler.
References to eclipses are couched in such hazy language
that the account might have been equally well applied to
some other rare phenomenon. Writers of literature in all
ages seem to prefer flowery to straightforward language and
employ imagery rather than fact, refusing to " call a spade,
a spade." For the astronomer it is impossible to take one
interesting eclipse and decide on the pros and cons in favor
of this or of that interpretation. Eclipses depend on the
motions of the sun and moon, and the history of all eclipses
must make a harmonious story and not a disjointed one.
And so the eclipse of Agathocles must be considered in
reference to that of Thales, and that in turn to the eclipse
36 ECLIPSES OF THE SUN
of Nineveh in 763 B.C. The astronomer is not a dealer in
necromancy nor does he acquire information about the mo-
tions of the sun and moon by mystical incantations, or by
divination. The work of the scientist is as far removed as
possible from the mountebank and charlatan. Scientific
knowledge is acquired only by the patient study of all that
has been accomplished in the past, and happy and fortunate
is he who can make a correct interpretation of the past!
The manner in which the story of eclipses has added to
astronomical knowledge will be treated in a future chapter.
Those who wish additional information regarding the early
eclipses would do well to consult Encyclopaedia Britannica,
article on Eclipses by Simon Newcomb, but specially the
monumental work by Oppolzer, Canon der Finsternisse,
which gives a record of no less than 13,200 eclipses, of which
5,200 are of the moon and 8,000 of the sun. These eclipses
are the ones which have taken place since 1208 B.C., over
three thousand years ago, or which will take place before
the end of the year 2162 A.D., two hundred years in the fu-
ture. In addition to the tables of the astronomical elements
of each eclipse, 160 charts are furnished giving the location
on the earth's surface where each total and annular eclipse
of the sun will be visible. It should, however, be pointed
out that the eclipse tracks could not be located by Oppolzer
on the maps with the greatest of refinement, since it was
manifestly impossible to calculate the location of each path
for more than three positions, sunrise, noon and sunset.
Consequently, it need not be a matter of surprise, par-
ticularly with the early eclipses, that the tracks may at times
be incorrectly placed by as much as a hundred miles.
CHAPTER III
THE PREDICTION OF ECLIPSES
AFTER the destruction of Babylonia and Assyria,
astronomy migrated from its Chaldean home to
Greece. As early as the fifth century B.C., attempts
were made to demonstrate some of the practical uses of
astronomy in the regulation of time and particularly in the
arranging of the calendar. The Greeks had inherited from
the Chaldeans a calendar founded on the lunar month, but
since the month is 29.5 days in length, attempts to bring
the seasons and the calendar into harmony ended always in
hopeless confusion. The astronomer Meton (born about
460 B.C.) made the discovery that 19 solar years were very
nearly equivalent in length to 235 lunar months — the
difference, in fact, being only about half an hour. The
Metonic cycle, as it has since been called, has been of the
very greatest service since its discovery so many centuries
ago. It should not be confounded with the interval called
the Saros, since the Metonic cycle is not used for the predic-
tion of eclipses. After nineteen years, new and full moon
and the various phases are repeated with a considerable
degree of exactness. This cycle is still used for finding the
day on which Easter will fall.
The Chaldeans had confined their energies to the making
of astronomical observations, but their successors, the early
Greek philosophers, made practically no observations whose
record is worth keeping. On the other hand they were much
interested in inquiring into the causes of things, and ac-
cordingly it may be said that the science of astronomy had
its birth with the Greeks. We are already familiar with
Thales and part of his work. To Pythagoras we owe the
doctrine of the " music of the spheres/' a notion which has
descended even to the present day. To Plato (428-347
37
38 ECLIPSES OF THE SUN
B.C.) astronomy owes but little, he even going so far as
to decry, as degrading, the observation of the heavenly
bodies. Far different, however, was the case with Aristotle
(384-322 B.C.) who appears to have collected and systema-
tized the best thought of the time regarding astronomy.
He believed that all of the heavenly bodies, including sun,
earth and moon, were spherical; he taught that the moon
had no light of its own but shone by reflected sunlight and
he explained its phases. Most important of these conclu-
sions was the proof of the spherical shape of the earth.
This, as Aristotle demonstrated, depends on two facts: first,
that the earth casts a shadow and that an eclipse of the
moon is due to the passing of the moon into this shadow;
and second, that the shadow being circular in outline was
proof that the body casting the shadow, the earth, was cir-
cular, at least in the section turned towards the moon.
After the time of Aristotle, Greek astronomy moved its
home to Alexandria, and there under the protection of suc-
cessive Ptolemies the great museum was erected and a
library and an observatory were incorporated as important
adjuncts. It is not the purpose here to trace the develop-
ment of astronomy except as it progressed through the study
of eclipses. The greatest astronomer of antiquity, in fact
the most famous up to the time of Newton, was Hipparchus.
He was not of Alexandria, though he probably visited the
city and may have made some of his observations there.
Little is known of his birth. This may have taken place in
Bithynia or in Rhodes, though it is known that he had an
observatory in the latter place and there did most of his
work. We know of him mainly through the astronomer
Ptolemy, since all of the original works of Hipparchus have
been lost with the exception of one important book. His
great fame rests upon three pedestals: (i) The invention
of trigonometry, (2) the making of an extensive series of
careful observations, (3) the comparison of his own with
earlier observations. As a result of his exact and methodical
work, he discovered the precession of the equinoxes, he
made the first catalogue of the positions of stars (to the
number of 1080), and he contributed greatly to the theory
THE PREDICTION OF ECLIPSES 39
of the motion of the sun and rnoon, and, as a direct con-
sequence, to the subject of eclipses.
Hipparchus was the first to notice that the seasons were
of unequal length, the time from vernal equinox to summer
solstice being 94 days, while the summer season was only
92 1 days in length. Spring and summer together are seven
days longer than fall and winter. Hipparchus gave the
correct explanation of this fact, viz: that the earth is not
always at a constant distance from the sun, being removed
from the center of the orbit (which was then regarded as
circular). At the present day this is readily verified by the
change in the angular diameter of the sun, — but this con-
firmation in Hipparchus' time would have required measure-
ments too exact for his crude instruments. By noting the
time it takes the moon to pass through the earth's shadow
at the time of a total eclipse of the moon, Hipparchus was
able, by a method due to Aristarchus, to obtain a value
of the relative sizes of earth and moon, and also to esti-
mate the distance of the moon to be 59 times the terrestrial
radius, — which is not very far from the truth.
The motion of the moon was much more difficult to in-
vestigate than that of the sun. Little observation is neces-
sary to note that the moon moves eastward in the sky,
changing her position among the stars by her own diameter
in approximately an hour. A revolution of the moon from
a star to the same star again is known as a sidereal month,
and its length is 27.3 days. In this interval the earth has
proceeded in its orbit about the sun, and consequently the
moon, as seen from the sun, requires more than two ad-
ditional days to swing into line with the earth. The in-
terval of time from new moon to new moon, or from full
moon to full moon, is the ordinary month of 29.5 days, called
the synodic month. Further observation shows that the
sun is always in the ecliptic, in fact, the sun's apparent mo-
tion determines the ecliptic, whereas the motion of the
moon, although approximately in the ecliptic, is neverthe-
less inclined at a small angle, which Hipparchus for the
first time fixed as at an angle of 5°. The moon's path thus
crosses the ecliptic at two points called the nodes. If the
40 ECLIPSES OF THE SUN
moon's path were exactly in the plane of the ecliptic there
would be two eclipses each month, once at the time of new
moon when the moon would come between the earth and
the sun, bringing about an eclipse of the sun; and again at
full moon, when the moon would pass into the shadow cast
by the earth and be itself eclipsed. But as the moon's orbit
is inclined to the ecliptic, it is manifest that eclipses, either
of sun or moon, can occur only when the moon is near the
plane of the ecliptic, or, in other words, near its node. If
the length of time it takes the moon to return to its node
were the same as the sidereal month, it is evident that the
moon's node would be fixed in space and would have no
motion relative to the stars. The length of the month deter-
mined by the return of the moon to the node is called the
nodical, or the draconic month. The meaning of the first
designation is evident. But why the second? It is not diffi-
cult to trace it back to the ancient belief that the sun was
swallowed by a dragon at the time of an eclipse, and this
superstition is therefore the reason why the month on
which eclipses depend should be called draconic. Indeed
the symbols that are universally used by astronomers to de-
note the ascending node ( & ) and the descending node ( W )
are generally supposed * to represent the head and tail of the
dragon. Hipparchus found that the moon's nodes were not
fixed, but that they completed a revolution in the plane of
the ecliptic from east to west in about 19 years. A fourth
kind of month was likewise known to Hipparchus, the length
of a revolution from the position of perigee to perigee in the
moon's orbit. By making use of the eclipses observed by
the Chaldeans, Hipparchus was enabled to obtain greatly
improved values of the lengths of the various months. The
values that follow are those furnished by the recent investi-
gations of E. W. Brown:
Synodical =
29.0530588 -
2Qd
I2h
44rn
2.
S8
Sidereal =
27.
321661 =
27
7
43
II.
5
Anomalistic =
27.
554550 =
27
13
18
33-
i
Nodical =
27.
2I222O =
27
5
5
35-
8
See Berry, A Short History of Astronomy, p. 48.
THE PREDICTION OF ECLIPSES 41
The lengths of the different kinds of year will be inserted
here for future reference, the values being Newcomb's:
Tropical (ordinary) = 365^242199
Eclipse = 346. 620031
Since the motion of the moon's node is in the direction
to meet the oncoming sun, the interval of time from node
to node (the eclipse year) is less than the interval from
vernal equinox to vernal equinox, the ordinary year on
which the seasons depend. From the above figures, the
eclipse year is 18.62 days shorter than the tropical year.
Since the sun and earth are always in the plane of the
ecliptic, all that is required to permit the prediction of an
eclipse of the sun is to find at the time of the
new moon (when alone a solar eclipse can take place)
whether the moon is sufficiently near enough to the plane
of the ecliptic for her to come between earth and sun. And
as an eclipse of the moon can happen only at full moon,
similar investigations will furnish the means of predicting
lunar eclipses. With the modern values given above, these
predictions can be carried out remarkably easily. Let us
see:
19 eclipse years = 6585^7806
223 ordinary months = 6585. 3211
247 nodical months = 6585. 3572
239 anomalistic months = 6585. 5374
The integral parts of these four quantities are the same,
the second being the Saros (meaning " repetition ") which
amounts to 18 years n days, if only four leap years inter-
vene, or 1 8 years 10 days if the 2gth of February has come
five times. The eclipse of June 8, 1918 was a repetition
of that of May 28, 1900; the eclipse of September 10, 1923
followed that of August 30, 1905 by the interval of one
Saros. The author observed the 1900 eclipse in Georgia
and that of 1918 in Oregon. It was necessary for him to
travel to Spain to witness the 1905 eclipse and to California
for the one of 1923. Succeeding eclipses in the Saros are
visible each time from a location on the earth's surface
farther west. The reason for this, and the causes of
further differences in eclipses which follow each other are
42
ECLIPSES OF THE SUN
readily explained from the fact that the numbers given
above are not exactly equal to each other but differ in the
decimal parts. Before going into this in detail, it will be
well to take up some of the geometrical features useful in
the prediction of eclipses.
FIG. i
The length of the shadow cast by earth or moon can be
readily found. S is the center of the sun, E that of the
earth, and M and m the moon's center at new and full
moon, respectively. A shadow cone envelopes the sun and
earth, its vertex being at T. If the moon in her orbit passes
wholly into the shadow there is a total eclipse oj the moon.
If the line ED is drawn parallel to TEA, then it is seen that
the triangle DSE and BET are similar, and hence
E T
E B
S_E
S I)
But SD = SA-AD=R-r, if R and r denote the radii of
sun and earth respectively. SE is the distance of sun to
earth which equals A. Hence the length of the shadow,
4*
E T =
R-r
But R, the radius of the sun, is equal to 109.5 times the
radius of the earth, r, and accordingly, the length of the
earth's shadow is equal to
A
THE PREDICTION OF ECLIPSES 43
Assuming the average value of the distance from sun to
earth as 92,900,000 miles, then the length of the earth's
shadow is on the average 857,000 miles, the distance of the
earth to moon being much less than this, or 238,840 miles.
In quite a similar manner it is possible to find the length
of the shadow cast by the moon, by taking the moon instead
of the earth, and assuming C as the length of the moon's
radius, and D the distance from centers of sun to moon.
The length of the shadow cast by the moon is equal
R-C
D
But R and C? the radii of the sun and moon, are each con-
stant, and substituting the values it is found that the length
of the moon's shadow is 3-9^75-5 of the moon's distance from
the sun, or approximately one four-hundredth part of the
distance. Under the conditions given a total eclipse
of the sun, the distance from sun to moon, D, is
equivalent to the difference between the distances from
sun to earth and from earth to moon. On account of
the fact that the orbits of earth and moon are both
ellipses and not circles, the distance D will vary consider-
ably and the length of the moon's shadow will change pro-
portionally. Under average conditions, the length of the
shadow measured from the center of the moon is 231,650
miles, but this may vary about 4000 miles each way from
the mean, or from 235,700 miles as a maximum to 228,120
miles as a minimum. Since the mean distance from center
of earth to center of moon is 238,840 miles, or from moon's
center to earth's surface 234,900 miles, it is seen that under
average conditions the moon's shadow is not long enough
to reach the earth's surface. The distance D will have its
greatest value when the earth is at its greatest distance from
the sun, at aphelion, which takes place about July i of each
year, and the moon at its least distance from the earth,
or at perigee. Owing to the revolution of the moon's line of
apsides, perigee may come during any month of the year.
The distance D is least when the earth is at perihelion
(January i) and the moon at apogee. On account of the
44 ECLIPSES OF THE SUN
elliptical character of the moon's orbit, the distance from
center of earth to center of moon varies, from approximately
253,000 miles as a maximum to 221,600 miles as a min-
imum. The latter distance is 217,650 miles from the earth's
surface. Since the shadow cast by the moon may be 235,700
miles in length, its vertex therefore at times may extend
18,000 miles beyond the earth's surface. Under these con-
ditions the area of the moon's shadow cone intercepted by
the earth will be a maximum, and when all conditions are
most favorable, the diameter will be 163 miles. Such condi-
tions are possible when the total eclipse is visible about July
i, with the moon at perigee, the eclipse being visible at the
earth's equator at noon. The diameter of the moon's
shadow path intercepted by the earth may vary from its
maximum value to a vanishing width when the shadow is
just long enough to reach the earth's surface. The average
width is approximately one hundred miles. Inside this
shadow cone an observer will see the light of the sun totally
cut off; outside of it the sun will be partially eclipsed.
Since also the distance may be as great as 253,000 miles
from the earth's center, or about 249,000 miles from its
surface, while the moon's shadow may be only 228,120 miles
in length, the shadow may fall short of the earth's surface by
more than 20,000 miles. Under these conditions an ob-
server on the earth located on the axis of the shadow pro-
duced, would see an annular eclipse and not a total one, a ring
or annulus of light appearing round the edge of the moon
when the eclipse is central. The diameter of the so-called
negative shadow may be as great as 230 miles. Since the
maximum width of the shadow causing a total solar eclipse
is only 163 miles, it is evident that the number of annular
eclipses are more frequent than total — only two out of
five central eclipses being total.
The work of the observational astronomer has been
greatly hampered by the moon which illuminates the sky
and renders it impossible to see or to photograph the faint-
est stars in the telescope. As already has been noted, the
moon has furnished much labor and vexation of spirit to
the mathematical astronomer. Yet if our satellite were
THE PREDICTION OF ECLIPSES 45
banished from the sky, what a dreary old world it would
be to poets and lovers without their " inconstant moon "!
If the diameter of the moon were decreased a scant hundred
and forty miles (less than seven percent), a total eclipse
of the sun would be impossible! How thankful solar as-
tronomers should be for the strange coincidence that the
angular diameter of the moon is about equivalent to that
of the sun and that the diameter of the moon is not ten
percent less than it is ! The greatest possible excess of the
angular radius of the moon over that of the sun is only
i' 19".
Knowing the diameter of the shadow intercepted by the
earth it is easy to find the duration of totality. For this
purpose it is necessary to find the speed of the shadow
over the earth. The moon advances in her orbit approxi-
mately her own diameter in an hour, or more exactly, about
2100 miles per hour. On account of the great distance of
the sun, this is the speed that the moon's shadow passes
across the earth regarded as a whole, but on account of the
rotation of the earth on its axis the velocity of the moon's
shadow over the earth's surface is far different from 2100
miles per hour. The diurnal rotation causes an observer
at the equator to complete a circuit of nearly 25,000 miles
in twenty-four hours which is at the rate of 1040 miles per
hour. Away from the equator, farther north and south in
latitude, the speed is progressively less at greater and
greater distances from the equator, being in fact 1040 miles
per hour multiplied by the cosine of the latitude. At 30°
north and south an observer is carried 900 miles per hour,
at 45° only 735 miles, while at 60° this is reduced to 500
miles. The moon moves in her orbit from west to east and
her shadow in consequence traverses the earth in this direc-
tion also. This being likewise the direction that an observer
is carried by the earth's rotation, the moon's shadow path
travels with respect to the earth's surface the difference of
the two speeds, which is 1060 miles at the equator, and
1600 miles at latitude 60°.
The above values refer only to the condition that the
eclipse occurs on the meridian for the observer in question,
46 ECLIPSES OF THE SUN
or in other words, at noon. When the eclipse takes place
near sunrise or sunset, the observer being turned not di-
rectly towards the sun and moon, the projection of the
moon's orbital velocity along the earth's surface may be
very large. The slowest speed that the moon's shadow
can have over the earth's surface is 1060 miles per hour,
when the eclipse occurs at noon and at the equator, and the
speed under conditions of higher latitudes and eclipse at
sunrise or sunset may be as great as 4000 or even 5000
miles per hour. With the conditions causing maximum
width of shadow of 163 miles, an eclipse of the sun may
have the maximum possible duration of the relatively brief
period of 7 mins. 31 sees. Even a six-minute eclipse, such
as the Sumatra eclipse of May 18, 1901 and its repetition
eighteen years later in Brazil and Africa, is considered by
astronomers unusually long.
The discussion above regarding the conditions of a solar
eclipse has been made with reference to the umbra of the
moon's shadow. An observer on the earth situated within
the confines of this shadow would find the sun's light totally
obscured. Inside the penumbra of the moon's shadow, the
sun is not entirely covered up by the moon and a partial
solar eclipse will result. The diameter of the penumbra
intercepted by the earth is readily determined. Since the
angular diameters of sun and moon are nearly equal, the
diameter of the penumbra measured at right angles to the
line joining sun and moon is about twice the diameter of the
moon, or roughly 4400 miles. Consequently, for a distance
of 2 200 miles along the earth's surface on either side of the
moon's umbra a partial eclipse may be visible. And by a
process of reasoning similar to that followed out in the case
of total eclipses, it is readily perceived that in latitudes away
from the equator and when the eclipse is at sunrise or sunset,
the distance along the earth's surface when a partial solar
eclipse is visible may be increased to 3000 miles from the
central line of totality.
Again, since the sun and moon's angular diameters are
about equal, and the moon moves the extent of her diam-
eter in an hour, it will take about one hour from the first
THE PREDICTION OF ECLIPSES 47
beginning of an eclipse, either solar or lunar, to the beginning
of totality, or, as the astronomer expresses it, from first to
second contact. Similarly an hour will elapse between third
and fourth contacts, or between the ending of totality and
the end of the eclipse.
FIG. 2
For a partial eclipse of the sun to occur, it is necessary for
the moon at M to encroach on the shadow-cone ACDB en-
veloping sun and earth. The angle between centers of sun
and moon under these conditions is readily determined.
The angle SEM in Fig. 2 is the sum of three angles, SEA,
AEF and FEM. SEA and FEM are the angular semi-diam-
eters of sun and moon respectively, while the angle AEF is
equal CFE— CAR. But CAR is the angle subtended by the
earth's radius at the distance of the sun, and is accordingly
the sun's horizontal parallax. If S and s represent the angu-
lar semi-diameter of sun and moon, and P and p the hori-
zontal parallaxes of sun and moon respectively, then SEM
is equal to S + s — P + p.
For the solar eclipse to be total, the moon must be en-
tirely within the shadow at m, and for these conditions the
angle SEm is found to be S — s — P + p.
For an eclipse of the moon, with moon at N, the angle be-
tween the moon and the center of the earth's shadow, the
angle NET is equal NEH + HET = NEH + CHE — HTE.
But SEA = EAT + HTE, hence NET = s+p — S + P.
Since the centers of the sun and earth are always in the
ecliptic, the angles just determined give the amount in
angle that the moon may be distant from the ecliptic at the
time of new or full moon in order that there may be an
48 ECLIPSES OF THE SUN
eclipse of sun or moon. Angular distances measured at
right angles to the ecliptic are called celestial latitudes, and
hence in order that a partial eclipse may take place, the
latitude of the moon must be less than
and
p + s + (S — P) for a solar eclipse,
p + s — (S — P) for a lunar eclipse.
Since S has a mean value of 32', while P is never greater
than 9", it is evident that a solar eclipse can take place
with the moon at a greater angular distance from the ecliptic
than is possible for an eclipse of the moon. This is patent
by referring to Fig. 2 and noting that a section across the
shadow-cone enveloping sun and earth is greater through
the moon at new moon, i.e., for a solar eclipse/than at full
moon, or for a lunar eclipse.
For the conditions under which total eclipses may occur,
we find that the celestial latitudes of the moon at the time
of conjunction of sun and moon are (by changing + s to — s
in the above formula)
p — s + (S — P) for total solar eclipse,
and p — s + (S — P) for total lunar eclipse.
On account of the varying distances of sun and moon
from the earth, the values of the semi-diameters and
parallaxes of sun and moon are changing proportionally.
In the table below the values are taken from the American
Ephemeris:
Greatest Least Mean
Semi-diameter of sun =5 16' 18" 15' 46" is'5o".6
Semi-diameter of moon = s 16' 46" 14' 43" 15' 32". 6
Horizontal parallax of sun = P 8".Q 8".y 8".8
Horizontal parallax of moon = p 61' 28" 53' 55" 57' 2".7
Inclination of moon's orbit = i 5° 19' 4° 57' 5° 8' 43"
An eclipse, either of sun or moon, might be predicted by
finding from the above formulas the moon's celestial lati-
tude. For purposes of computation it is more convenient
to find the angular distance that the sun or moon may be
from the moon's node, but measured in the plane of the
ecliptic. These angles, being celestial longitudes, deter-
THE PREDICTION OF ECLIPSES 49
mined at the time of new moon give what is known as the
solar ecliptic limit, and at full moon furnish the lunar eclip-
tic limit. In Fig. 3, NS is the ecliptic, MN the moon's path,
N the moon's ascending node. M is the moon, and the circle
at S, for a solar eclipse, represents a section of the shadow
cone at M (in Fig. 2), and, for a lunar eclipse, a section
through N (in Fig. 2), The angle SNM represents the
angle, /, of inclination of the moon's orbit to the plane of
the ecliptic.
M
FIG. 3
For a solar eclipse, the angular distance SM is known
from above as equal to p + s + S — -P. The angle i is known,
and if the angle at S is assumed as a right angle the tri-
angle SNM can be solved, and the distance SN determined.
An approximate method is all that is required, and since
the mean value of i is nearly one-eleventh of a radian, hence
SN, the ecliptic limit is approximately eleven times SM.
But as the value of SM depends on the semi-diameters
and parallaxes of sun and moon, and as we have seen these
quantities continually are varying, the value of the ecliptic
limit must also vary proportionally, and also because the
angle i changes likewise. Hence it is necessary to dis-
tinguish between the maximum and minimum values of the
ecliptic limit, for solar and lunar eclipses and for total and
partial eclipses. Using the appropriate maximum and min-
50 ECLIPSES OF THE SUN
imum values, it is easy to find the following values of
eclipse limits.
Major Minor
Solar eclipse 18° 31' 15° 21'
Lunar eclipse 12° 15' 9° 30'
Total solar eclipse 11° 50' 9° 55'
Total lunar eclipse 6° o' 3° 45'
As a simple exercise in mathematical astronomy these
quantities might be used for predicting eclipses. All of the
additional information is readily obtainable from one of the
government publications like the American Ephemeris and
Nautical Almanac. As already stated, an eclipse of the sun
can take place only at new moon. For this instant of time
look up in the Ephemeris the longitude of the sun and that
of the moon's node. The difference is the angular distance
of the sun from the node. If this longitude is greater than
the major ecliptic limit of i8°3i', an eclipse of the sun
cannot possibly take place; if the quantity is less than the
minor limit of i5°2i', an eclipse must certainly take place.
If the difference in longitudes is less than i8°3i', but
greater than 15° 21', it is impossible to state whether an
eclipse will take place or not, and recourse must then be had
to a calculation of the ecliptic limit using the particular
values for the semi-diameters, parallaxes and inclination for
the day in question at the time of new moon. The condi-
tions for a total eclipse are found by using the major and
minor ecliptic limits of n°So/ and 9° 5 5'. Similarly, for an
eclipse of the moon, which occurs only at full moon, by
utilizing the values of the lunar ecliptic limits, it is possible
to predict whether an eclipse of the moon will happen or not.
In practice, however, in predicting the number of eclipses
to occur in any one year, the eclipse limits defined above
are not used. It is much simpler to use the Saros to bring
forward the data of the Ephemeris of 18 years before. All
of the various series of eclipses, lunar and solar, that are tak-
ing place at the present time are known to the astronomer.
When no great accuracy is needed the Saros provides a sim-
ple method. The information so obtained should be checked
by the magnificent book by Oppolzer, Canon der Finsternisse
THE PREDICTION OF ECLIPSES 51
where are given the elements of all of the eclipses (8000
solar and 5200 lunar) between the dates 1208 B.C. and 2162
A.D. Various lists of total solar eclipses have been pub-
lished. (See for instance. Encyclopaedia Britannica, article
on Eclipses}.
Referring now to the lengths of the different kinds of
months on p. 40, we recall that 19 returns of the sun
to the moon's node are equal to 6585.7806 days, while
223 synodic months consume the slightly different amount
°f 6585.3211 days. If therefore a new moon fell exactly
at the node, then after 18 years n days, the new moon
would take place before the node was reached. The
difference of the two quantities above is 0.4595 days, in
which time the sun moves 28'. Accordingly, at each suc-
ceeding Saros the new moon is found 28' farther and farther
west of the node. It is now possible to trace the total
number of eclipses and the progressive changes in them as
they pass through the Saros. According to the value of
the ecliptic limit already found, we know that if the new
moon happens within 18° of the node, an eclipse of the sun
may take place. If the node is the ascending one, the con-
ditions will be as represented in Figs. 3 and 2, the moon
being north of the shadow-cone. An eclipse of the sun
will accordingly be visible in high northern latitudes on the
earth. After 18 years n days the conditions will be nearly
identical, but the new moon will take place 28' nearer the
node, and as a result, the eclipse will be visible on the earth
a little farther south of the preceding position. With each
succeeding return, the new moon moves nearer and nearer
the node and the eclipse track shifts farther and farther
south on the earth. When the moon is within about 11°
of the node the solar eclipse becomes central, and the eclipse
may be total or annular. As before, the central eclipse
track will first touch only high northern latitudes, each
succeeding eclipse moving farther and farther to the south.
Total or annular eclipses will now take place at each
return of the Saros until the new moon takes place
11° west of the node, when the central eclipse track
passes off the earth at its south pole, and a series of partial
52 ECLIPSES OF THE SUN
eclipses ensues until the moon is 18° west of the node, when
these particular eclipses cease. In such a series there are
from 68 to 75 solar eclipses, depending on conditions, extend-
ing over some 1200 years. In each series there are approxi-
mately 25 partial eclipses and 45 central eclipses. The
numbers vary for different series of eclipses. Of the central
eclipses, total eclipses follow total eclipses with about the
same duration of totality, and annular eclipses follow an-
nular. If the eclipses had taken place at the descending
node of the moon's orbit instead of at the ascending node,
eclipses would have come on the earth at its south pole and
gradually moved north, going off the earth at the north pole,
as shown in the illustration facing this page.
On account of the ecliptic limits for lunar eclipses being
smaller in value than for solar eclipses, there will be fewer
repetitions in a lunar series, there being 48 or 49 altogether.
Of this number there will be 22 or 23 total, with 13 or 14
partial eclipses, both before and after the total eclipses.
The interval for a series of lunar eclipses consumes about
870 years.
There is one other very important relation brought out
by the data on page 41. It is there found that 239 returns
of the moon to the line of apsides, or to perigee, amount as
a total to 6585.5374 days. For predicting the nature of the
eclipse that will be found at the next return this quantity
is almost as valuable as the Saros itself. At the end of 223
lunations the moon not only returns very closely to its origi-
nal position with respect to the sun and the node, but also
with respect to the line of apsides, with the necessary result
that the distance from earth to moon is very closely re-
peated. This fact in turn brings two consequences; firstly
that the duration of the eclipse, or at least that part of it
which depends on the moon's distance, is altered but little;
but secondly, that the perturbations of the moon's orbit
which otherwise might have displaced by several hours the
time of the eclipse will now be repeated almost as they were
before, and with no consequent relative effect on the time
of the eclipse.
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Oj-i-'UUT TOWEK TELESCOPE OF THE SWARTHMORE EXPEDITION INSTALLED IN
SUMATRA FOR THE 1929 ECLIPSE
CHAPTER IV
THE VERIFICATION OF ECLIPSES
IN THE last chapter it was shown that the times of
eclipses can be foretold with moderate accuracy by
means of the Saros. Equally important with the actual
prediction of the times is the fact that the circumstances at-
tending the eclipses following each other in the Saros will be
very closely repeated. A large partial eclipse of the sun will
be followed by a large partial eclipse of the sun, an annular
eclipse by an annular eclipse, a total eclipse of short dura,-
tion by a similar short eclipse. And so also with lunar
eclipses. There remains still to explain the signification of
the decimal portion of the time of the Saros, 6585.3211 days.
If the sun had been on the meridian at the middle of the
eclipse, the eclipse therefore occurring at noon, the next
following eclipse will be repeated at a place 0.3211 of a
revolution of the earth, or in other words yh. 42m. of longi-
tude farther west. After the return of three Saroses, or 54
years, the eclipse tracks will have gone almost around the
world and will have returned again to nearly the same
longitude. If the eclipses belong to a series that is taking
place at the moon's ascending node, the later eclipse track
will be found farther south than the earlier one, and if at
the descending node, farther north than the eclipse fifty-
four years earlier.
Those who wish to amuse themselves by playing with
figures may find other remarkable coincidences by experi-
menting with the lengths of the various years and months
on p. 41. Newcomb has found a very interesting period
at the end of 358 lunations.
358 synodic months = 10571.95 days
30.5 eclipse years = 10571.91 days
53
54 ECLIPSES OF THE SUN
This period amounts to 29 Julian years, less 20.3 days. But
358 lunations are equal in length to 383.673 anomalistic
months, and hence, as explained in the preceding chapter,
the eclipses which follow each other with this period will
differ greatly in their characteristics, since the conjunctions
between sun and moon take place at different positions with
respect to perigee. Also, such eclipses must follow each
other alternately at ascending and descending nodes. Three
such periods, however, will equal 1169.019 anomalistic
months, and the time of conjunction has accordingly moved
very close to perigee (if it had previously been found there)
and a total eclipse will thus be followed by a total eclipse.
Three of these periods equal 87 years less 61 days, and 18
periods equal 521 years, actually within a day or two. Thus
with the Saros of 18 years, and with the addition of the
29-year, the 87-year and the 52i-year periods, the astrono-
mer is enabled to engage in predicting at long range. Take
for instance the first eclipse verified with certainty, the
Nineveh eclipse of June 15, 763 B.C. (763 B.C. may be ex-
pressed also as the year —762). Applying the 52i-year
period we have the years 242 B.C. and A.D. 280, 801, 1322
and 1843. These eclipses each fell on June 15, 0. S., or by
the Julian calendar. The date of June 15, 1843, O. S., is the
same as June 27, 1843, by the Gregorian or present-day
calendar. By means of the 29-year period we obtain the
eclipses of June 6, 1872, and May 18, 1901. (The eclipses
of 1843 and *872 were not total while that of 1901 was the
six-minute total eclipse observed in Sumatra.)
Facing page 56 will be seen a map of the tracks of all of
the eclipses, total and annular, taking place between the
years 1919 and 1940. The map is from Oppolzer's Canon
der Finsternisse.
In the following table are given one hundred years of
total eclipses of the sun. The article on " Eclipses " in Ency-
clopaedia Britannica, i4th edition, does not contain the
eclipses of 1944, 1945, 1950, and 1968. As shown in the dia-
gram facing page 52, the last two are unimportant eclipses
which occur in the north polar regions.
THE VERIFICATION OF ECLIPSES
55
Date
Series
Node
Duration
in minutes
Where visible
1875, April 6
i
A
4-7
Indian Ocean, Siam, Pacific.
1876, Sept. 17
2
D
1.8
Pacific Ocean.
1878, July 29
3
D
3.2
Canada and the United States.
1880, Jan. ii
4
A
2 . I
Pacific Ocean, California.
1882, May 17
$
D
1.8
Egypt, Central Asia, China.
1883, May 6
6
D
6.0
Pacific Ocean, Caroline Islands.
1886, Aug. 29
7
A
6.6
South America, Central Africa.
1887, Aug. 19
8
A
3-8
Northern Europe, Siberia, Japan.
1889, Jan. i
9
1)
2. 2
California, Oregon, Canada.
1889, Dec. 22
10
D
4.2
South America and Central Africa.
1893, April 1 6
i
A
4.8
Venezuela to West Africa.
1894, Sept. 29
2
D
1.8
East Africa, Indian Ocean.
1896, Aug. Q
3
D
2.7
North Europe, Siberia, Japan.
1898, Jan. 22
4
A
2-3
East Africa, India, China.
1900, May 28
5
D
2 . I
United States, Spain, North Africa.
1901, May 18
6
D
6.5
Sumatra, Borneo.
1904, Sept. 9
7
A
6.4
Pacific Ocean.
1905, Aug. 30
8
A
3-8
Canada, Spain, North Africa.
1907, Jan. 14
9
D
2-3
Russia, Central Asia.
1908, Jan. 3
10
D
4.2
Pacific Ocean.
1911, April 28
i
A
5.°
Australia, Polynesia.
1912, Oct. 10
2
D
1.8
Colombia, Ecuador, Brazil.
1914, Aug. 21
3
D
2.1
Scandinavia, Russia, Asia Minor.
1916, Feb. 3
4
A
2-5
Pacific Ocean, Venezuela.
1918, June 8
<>
D
2.4
The United States.
1919, May 29
6
D
6.9
Peru, Brazil, Central Africa.
1922, Sept. 21
7
A
6.1
East Africa, Australia.
1923, Sept. 10
8
A
3-6
California, Mexico, Central America.
1925, Jan. 24
9
D
2 4
Northeastern United States.
1926, Jan. 14
10
D
4.2
East Africa, Sumatra, Philippines.
1927, June 29
IT
A
0.7
England, Scandinavia.
1929, May 9
i
A
5-1
Sumatra, Siam, Philippines.
1930, Oct. 21
2
D
1.9
Pacific Ocean, Patagonia.
1932, Aug. 31
3
D
i-5
Canada, New England.
1934, Feb. 14
4
A
2.7
Borneo, Celebes, Caroline Islands.
1936, June 19
5
D
2.5
Greece to Central Asia and Japan.
1937, June 8
6
D
7-i
Pacific Ocean, Peru.
1940, Oct. i
7
A
5-7
Colombia, Brazil, South Africa.
1941, Sept. 21
8
A
3-3
Central Asia, China, Pacific Ocean.
1943, Feb. 4
9
D
2-5
China, Pacific Ocean, Alaska.
1944, Jan. 25
10
D
4-i
South America, West Africa.
1945, July 9
ii
A
i .1
Canada, Greenland, Scandinavia,
Russia.
1947, May 20
i
A
5-2
South America, Africa.
1948, Nov. i
2
D
1.9
Central Africa, Madagascar.
1950, Sept. 12
3
D
0.9
Northeastern Siberia.
1952, Feb. 25
4
A
3-°
Africa, Persia, Central Asia.
1954, June 30
5
D
2-5
Canada, Scandinavia, Russia.
56
ECLIPSES OF THE SUN
Date
Series
Node
Duration
in minutes
Where visible
I9S5» June 20
6
D
7.2
Ceylon, Siam, Philippines.
1958, Oct. 12
7
A
5-2
Chile, Argentina.
1959, Oct. 2
8
A
3-°
Canaries, Central Africa.
1961, Feb. 15
9
D
2.6
France, Italy, Austria, Siberia.
1962, Feb. 5
10
D
41
New Guinea.
1963, July 20
ii
A
i-5
Alaska, Canada, Maine.
1965, May 30
i
A
5-3
Pacific Ocean.
1966, Nov. 12
2
D
1.9
Bolivia, Argentina, Brazil.
1968, Sept. 22
3
D
0-5
Northern Siberia.
1970, Mar. 7
4
A
3-3
Mexico, Florida, Georgia.
1972, July 10
5
D
2.7
Northeast Asia, Northeast Amer-
•
ica and Atlantic Ocean.
1973, June 30
6
D
7.2
South America, Africa.
1974, June 20
12
D
5-3
Southwest Australia and Indian
Ocean.
From the table it will be seen that the total eclipses which
have been or will be observed in the United States are: 1878,
July 29; 1880, January n; 1889, January i; 1900, May 28;
1918, June 8; 1923, September 10; 1925, January 24; 1932,
August 31 ; 1963, July 20; 1970, March 7. So many eclipses
in the past, so few in the coming years! In the future, the
next eclipses to visit the United States will be those of 1945
and 1954, both of which begin at sunrise about on the interna-
tional boundary and their tracks will go northwards over inac-
cessible spots in Canada. To observe either of these eclipses
it will probably be necessary to travel to Scandinavia. The
next eclipse to be observed scientifically in the United States
is that of July 20, 1963, the path crossing Maine not very far
northeast of the 1932 eclipse. The eclipse of March 7, 1970,
will be visible in Florida and along the coast of Georgia. The
next American eclipse after that will be on February 26, 1979,
visible in northwest United States and in Canada across Hud-
son Bay. What hardy astronomer will be willing to brave
the probabilities of a blizzard and 40° F. below zero in order
to add to scientific knowledge by observing this total eclipse?
In the immediate future, the next total eclipse to be ob-
served will be on June 19, 1936, with a duration of two and a
half minutes. At sunrise the total eclipse begins near Greece,
the path of totality later passing through Siberia and Japan.
TRACKS OF ECLIPSES BETWEEN THE YEARS 1919 AND 1940
From Oppolzer's Canon der Finsternisse.
DESOLATION ON NIUAFOOU ISLAND AFTER THE ERUPTION IN 1929
HUGE CAMERAS INSTALLED FOR THE 1930 ECLIPSE
THE VERIFICATION OF ECLIPSES 57
The most favored sites for observation will be at the cities of
Omsk and Tomsk on the Trans-Siberian Railroad. The as-
tronomers from the United States will probably locate in
Japan. The following eclipse is June 8, 1937, with a du-
ration of totality of more than seven minutes. The track
passes across the wide expanse of waters of the Pacific Ocean
and touches land only near sunset in Peru. With the sun at
a very low altitude it appears probable that no important sci-
entific observations will be possible. The next eclipse, that
of October i, 1940, will probably be extensively observed
in South Africa. Evidently the coming generation of Ameri-
can astronomers will be forced to make long trips away from
home if they expect to continue the important discoveries
made at eclipses. At the present time many eclipse problems,
discussed in the final chapter, still await solution. It is con-
fidently expected, however, that the coming generation will
find methods of investigating chromosphere and corona with
such success that observations at eclipses will no longer be
necessary. When science shall have progressed to this ex-
tent, future astronomers will be able to point to the long
trips taken by their forefathers, sometimes half way round
the globe, in order to observe a total eclipse for a few brief
minutes of time. In the twenty-first century the great god
of Efficiency may be worshipped even more profoundly than
is the case in the early part of the twentieth century. Under
such circumstances a total eclipse will still be viewed with
interest as a fascinating phenomenon, which, however, will
afford ample evidence of the crude methods of investigation
of the astronomers a century before.
If so few eclipses are visible in such a large country as the
United States, how about those in a relatively small territory
like the British Isles? The eclipse of June 29, 1927 was en-
thusiastically observed in the northern portion of England
in spite of heavy clouds; that of August n, 1999, grazes the
south of Ireland and Land's End, and on August 12, 2026,
the eclipse track may cross the southwestern tip of Ireland
but will not be seen in Great Britain.
Since the sixth century the following total eclipses have
touched parts of the British Isles:
58 ECLIPSES OF THE SUN
594 July 23 1185 May i
603 Aug. 12 1330 July 1 6
639 Sept. 3 1424 June 26
664 May i 1433 June 17
878 Oct. 29 1598 Mar. 6
885 June 15 1652 April 8
1023 Jan. 24 1715 May 2
1133 Aug. i 1724 May 22
1140 Mar. 20 1927 June 29
Eclipses have included London twice, Dublin twice, and
Edinburgh five times.
On the other hand, some parts of the globe are visited by
eclipses in rapid succession. Spain witnessed the eclipses
of 1842, 1860, 1870, 1900 and 1905. In the vicinity of the
East Indies the eclipses of May 18, 1901, January 14, 1926,
May 9, 1929 and February 14, 1934 have been observed,
while the track of the eclipse of September 21, 1922, lay but
a few hundred miles south.
Assuming that the moon's shadow path intercepted by
the earth averages 100 miles in width, it is easy to find that on
the average a total eclipse of the sun will be visible in any one
locality once every 360 years. A stay-at-home astronomer
might have little opportunity during his lifetime to witness
many such eclipses !
With a knowledge of the ecliptic limits found on page 50,
it is possible to find the number of eclipses that will occur
in any given time, say a year. If at the time of the new moon,
the moon (and also the sun) is more than 18° 31' from the
moon's node there cannot possibly be an eclipse of the sun.
Since the angle of 18° 31' may be east or west of the node,
there is thus a zone of 37°, within which an eclipse of the
sun may take place provided that a new moon also occurs
somewhere within the zone. The minor ecliptic limit for a
solar eclipse is 15° 21', and similarly if new moon is found
anywhere in the zone 30° 42' in length an eclipse of the sun
must happen, there being no possibility of the moon slipping
by without intercepting the light from the sun as it comes in
the direction towards the earth. For an eclipse of the moon,
the ecliptic limits are smaller. It is only when full moon
comes within 9° 30" of the node that a lunar eclipse is certain
to take place, though an eclipse may possibly happen if the
THE VERIFICATION OF ECLIPSES 59
limit is as great as 12° 15'. In a synodic month the earth
moves along the ecliptic to an average extent of 29° 6'. But
the moon's node is moving in the opposite direction by an
amount of i° 31' each month. Relative to the node, there-
fore, new and full moon are found farther east each synodic
month by the sum of 29° 6' and i° 31', or 30° 37', and it is
this motion relative to the node on which the circumstances
of an eclipse depend. By an analogy one can see how easily
the question of eclipses is thought out. Suppose a man walk-
ing around a circular track of any diameter in which there are
two mud holes four feet in width diametrically opposite each
other. If he is taking a constant pace of three feet, it will be
impossible for him to walk around the track without stepping
at least once into each mud hole during each circuit. If
when he comes to the muddy spot he happens to plant his
foot near the middle he will have only one wet foot, but if
the first foot gets in the hole near the edge, the second foot
may be planted in the mud near the other side of the puddle.
If the mud hole were only two feet in width, his standard
pace of three feet might carry him across it without either
foot getting into the mud. And so it is with eclipses of sun
and moon. The moon's step is 30° 37' in angular length,
the danger zone for a solar eclipse is 30° 42 ', or a quantity
which is larger than the moon's monthly motion with re-
spect to the node. There must, therefore, be at least one
solar eclipse at each nodal point, or two such eclipses with-
out fail during the course of each and every year. On the
other hand, the danger zone for lunar eclipses being much
smaller, it is possible that the full moon may take place so
far from the node each time that there will not be a single
lunar eclipse during the year. There can, moreover, be only
one eclipse of the moon at each node, but never two.
Eclipses do not occur in the same months each year, but
follow each other at the beginning and end of the " eclipse
year " of 346.6 days. This being 18 days less than the calen-
dar year it is possible for there to be three eclipses of the
moon within the calendar year, if the node is passed early in
January, or late in December (which comes to the same
thing). Two solar eclipses may possibly take place at each
60 ECLIPSES OF THE SUN
node, and a fifth one within the calendar year. If the new
moon take place near the node bringing an eclipse of the sun,
the preceding or following full moon may be too far from the
node to cause an eclipse of the moon. Under these conditions
there will be only two eclipses during the year, each of the sun,
and as these occur near the node, they will be central eclipses,
namely, either total or annular. This frequently happens, as,
for instance, in the years 1922, 1926, 1929, 1933, 1940, 1944,
1951 and 1962. If there are two solar eclipses at each node,
a full moon must take place near the node and a total eclipse
of the moon will result. There is thus the possibility of two
partial solar and one total lunar eclipse at each node, or a
total of two lunar and four solar eclipses during the year.
If the node is passed about the middle of January, there may
be a fifth solar eclipse within the calendar year, making a
maximum of seven eclipses in a single year. There may
also be three eclipses of the moon and four eclipses of the
sun within the year, an event which will happen next in 1982,
the three lunar eclipses each being total, and the four solar,
partial. In 1 93 5 there will be two lunar and five solar eclipses.
This combination occurs but seldom, and will not happen
again until the year 2485. The maximum number of eclipses
falling within a calendar year is thus seven and the minimum
two.
According to Oppolzer, there are 237.5 solar eclipses on
the average in a century. Of these 83.8 are partial, 77.3
annular, 10.5 annular and total (the vertex of the moon's
shadow just reaching the earth) and 65.9 total eclipses.
Twenty-seven percent of all solar eclipses are total. On the
average, therefore, two total eclipses of the sun are visible
every three years, but fully half of these are inaccessible for
the reason that the eclipse tracks are in high northern or
southern latitudes, or pass entirely across the oceans, or lie
in localities where the probability of good weather is un-
promising. Consequently, on the average, about once in
every three years a total eclipse somewhere on the earth is
available for observation. As the duration of totality aver-
ages less than three minutes, we thus see that an eclipse
observer may have an average of a minute per year for
<
7<
00 „
H >H
H 4J
oo~ PQ
w
a
THE VERIFICATION OF ECLIPSES 61
scientific work, provided he has sufficient financial backing
to permit him to travel long distances for every available
eclipse. The author has had the great good fortune of wit-
nessing nine total eclipses in 1900, 1901, 1905, 1918, 1923,
1925, 192 7, 1930 (Oct. 21) and 1932. In 1936 he hopes to be
able to observe his tenth eclipse when he will have accom-
plished the rare feat of observing three total eclipses in the
same series separated by the Saros interval of 18 years n
days.
The Lick Observatory has set up an enviable reputation
for itself through the observation of fifteen total eclipses in
the following years: 1889 (Jan. i and Dec. 22), 1893, 1896,
1898, 1900, 1901, 1905 (three parties in Labrador, Spain and
Egypt)? i9°8, 1914? 1918, 1922, 1923, 1930 (April 28) and
1932. In the past there have been but three complete failures
through clouds, in 1896, 1914 and 1923. Excellent observa-
tions have been secured by the British Joint Permanent
Eclipse Committee under the auspices of the Royal Society
and the Royal Astronomical Society. Through the coopera-
tion of astronomers with eclipse experience working under
the auspices of the Commission on Eclipses of the Inter-
national Astronomical Union, problems are now carefully
studied before each eclipse to the end that there may be little
wasted effort.
Taking into account the earth as a whole, it is evident that
there are more solar eclipses than lunar, in the approximate
ratio of four to three. But for eclipses visible from any one
locality, London or New York or Timbuctoo, the question is
an entirely different one. A partial solar eclipse at best may
be seen from a limited portion of the globe, while a total
eclipse is observable only in a very restricted path. An
eclipse of the moon, being caused by its passage into the
shadow of the earth, must be visible to every locality on the
earth where the moon itself is visible. At any one instant
of time the moon is above the horizon to half of the world,
and since the eclipse of the moon, from beginning to ending
of the. partial eclipse, lasts for some hours it will be plainly
visible to over half the globe, unless clouds interfere. There
are probably very few people living who love Nature, who
62 ECLIPSES OF THE SUN
have not witnessed at least one total eclipse of the moon, but
probably not more than one in a thousand of the world's
inhabitants has caught a glimpse of the matchless glory of
the corona, seen only during the fleeting moments of a
total eclipse of the sun.
CALCULATION OF AN ECLIPSE
The seemingly uncanny and almost miraculous power of
the astronomer to predict the coming of an eclipse hun-
dreds of years in advance has always possessed a powerful
fascination for the uninitiated. By means of the Saros
and of the methods outlined in the foregoing chapter, it is
readily possible to foretell the happening of an eclipse of the
sun or moon and the general circumstances surrounding these
events, provided no very great accuracy of time or place is
required. To know the exact times for any given locality
more accurate methods must be used. The problem of
eclipse calculations resolves itself into three stages. First,
the accuracy of the whole problem depends mainly on the
completeness of our knowledge regarding the motions of
the moon furnished by the lunar theory, and also upon the
motion of the earth about the sun which gives the apparent
motion of the sun about the earth, the latter theory being
comparatively simple. From the motions of sun and moon
thus determined, it is necessary to compute their positions at
equidistant intervals, and as seen from a standard place,
namely, the center of the earth. Second, from; these posi-
tions it is necessary to compute certain " elements " on
which eclipses depend; and third, for a given latitude and
longitude of any place on the earth's surface, to calculate
the times, etc., of the eclipse. The first part of the problem
is taken care of by the various governmental publications
which appear some three years in advance. By this means
it is readily possible to find the exact positions of sun
and moon at any given instant of time. Elements of eclipses
needed for the second step of the process have been calcu-
lated, from the earliest historic times up to the twenty-
second century, by Oppolzer and Simon Newcomb. The
THE VERIFICATION OF ECLIPSES 63
third step in computing the details of the eclipses for a given
year is now done by the American Ephemeris alone, but the
results are published by the other nautical almanacs, thus
eliminating duplication of efforts. For the 1932 eclipse
Oppolzer's chart was in error by 200 miles in giving the
eclipse path; his elements however furnished the position
of the central line within an error of 10 or 15 miles and the
times to an accuracy of about one minute. The American
Ephemeris aims at an accuracy of one-quarter mile in posi-
tion and two seconds for the times of contacts.
The calculation of an eclipse of the moon is one of great
simplicity. The time at which the moon passes into the
shadow cast by the earth is the same absolute instant of
time no matter where the observer is on the earth. Even
the inhabitant of Mars (who may or who may not exist),
who observes the earth for signs of life with the gigantic
telescope which his supposed advanced civilization must
have furnished him, would see the eclipse of the moon at
identically the same absolute second of time as that noted
by the Astronomer Royal at Greenwich. The local time of
the eclipse recorded by the Martian clock would not be
Greenwich mean time, — but that is not part of the prob-
lem. Eclipses of Jupiter's satellites, caused by the passing
of these moons into the shadows cast by the planet are seen
at the same instant of time by all observers on the earth,
provided of course that the terrestrial observers are on the
side of the earth turned towards Jupiter. If the various
observers take the value of the Greenwich mean time of
such an eclipse (which can be obtained from the nautical
almanacs) and compare this with the local mean time of the
individual observation, the difference in times will give the
longitude of the observer from Greenwich. This is a method
much in vogue for the determination of longitude when no
great accuracy is necessary, for such an eclipse is a gradual
phenomenon and not one which comes with great sudden-
ness. The Greenwich mean times of the phases of an eclipse
of the moon are the same for every inhabitant of the earth,
and consequently, in each of the annual nautical almanacs
it is possible to publish the Greenwich times of the various
64 ECLIPSES OF THE SUN
portions of the eclipse, such as the beginning of the partial
eclipse, the beginning of the total eclipse, etc. If the person
observing the lunar eclipse lives in Western Europe, in
Great Britain, France, Spain, Portugal, Holland, Belgium
or any of the other countries that now keep Greenwich time
as standard, the times of the eclipse will be that recorded
by their clocks, if these keep correct time. If the observer
lives in New York or Washington or anywhere in United
States or Canada where Eastern Standard time is used, the
times of the eclipse will be obtained by subtracting 5 h., o
m., o s. from the Greenwich time, while if he lives in San
Francisco it will be necessary to subtract 8 h. from the
Greenwich time.
The method of calculating the times of a lunar eclipse,
as given in the ephemerides, is a beautifully attractive prob-
lem which may be solved quite simply by anyone even
though he is not an expert computer, and this may be ac-
complished either by graphical methods or by logarithmic
calculation. Since the earth has an atmosphere, the outline
of its shadow is not sharp and well-defined, but hazy when
examined by a telescope. On account of the indefinite out-
line of the earth's shadow, its theoretical diameter must be
augmented. Different computers utilize different values for
this increase, varying from one-fiftieth to one-seventy-fifth
of the theoretical value of the diameter of the earth's
shadow. Accordingly, a total lunar eclipse is not a sudden
phenomenon like an eclipse of the sun and there is, there-
fore, no need to employ very refined methods of computa-
tion, or to carry the calculations to fractions of a second
of time. The American Ephemeris gives the times to the
decimals of a minute, — an accuracy sufficiently great for
the purpose. The method of calculating a lunar eclipse is
given in Chauvenet, Spherical and Practical Astronomy,
Vol. i, p. 589. For graphical methods of determining the
times of eclipses of moon and sun, and also of occultations,
see a series of articles by Rev. W. F. Rigge in Popular As-
tronomy, volume III.
As just stated, an eclipse of the moon does not permit of
an exact calculation owing to the ill-defined nature of the
THE VERIFICATION OF ECLIPSES 65
earth's shadow caused by its atmosphere. Due to the re-
fraction of light by the earth's atmosphere, the sun's light,
or rather the rays at the red end of the spectrum that are
not absorbed by the atmosphere, reach the moon, even
at the middle of totality when the earth is directly between
the moon and the sun. If the " man in the moon " were
to view the phenomenon that would form, to him, an eclipse
of the sun, he would see the earth surrounded by a great
ring of light, its own illuminated atmosphere. If the moon
had even a rare atmosphere, there would, for this same
reason, be a ring of light around the moon as it en-
croached upon the face of the sun at the time of a
solar eclipse. No such light is visible, which is a sure
proof that any atmosphere the moon may possess must be
rarer than can be made by the best vacuum pump ever con-
structed by man. The coming of totality at the time of an
eclipse of the sun is a sudden phenomenon and as a conse-
quence the approximate methods utilized in calculating a
lunar eclipse are not sufficiently precise. The best method
to follow in determining the times of a total eclipse is that
of Chauvenet, Spherical and Practical Astronomy, i, 436.
Another excellent guide is Buchanan, Theory of Eclipses.
The calculation of a solar eclipse, in fact, cannot be
treated in the simple manner of that of a lunar eclipse owing
to the large size of the moon's parallax. In other words, the
moon is so comparatively near the earth that it is projected
on the face of the sun differently for every separate place on
the earth's surface. As a result, the times of beginning and
ending of the partial and total phases of the eclipse are dif-
ferent at every station.
The accuracy with which the times of solar eclipses can
be predicted depends on the reliability of the work of the
astronomers of all ages, and on the manner in which the
torch has been passed on from one generation to the next.
The chief cause of concern is found in the motions of our
unruly neighbor, the moon. The position of the moon is
furnished from observations of the times of contact of the
limbs of the sun and moon, four different contacts being
recognized. First contact is the instant that the moon be-
66 ECLIPSES OF THE SUN
gins to creep on the face of the sun, the eclipse beginning on
the western edge of the sun. Second contact is signaled
by the beginning of totality, third contact by the ending of
totality and fourth contact is the ending of the eclipse, the
moon passing off the face of the sun, the last contact being
found on its eastern edge. The four contacts are generally
observed visually by a pair of field glasses or by a telescope
of moderate power. The time of first contact is difficult to
observe with accuracy since nothing is to be seen at the edge
of the sun until the moon is actually projected on to the face
of the sun, — and first contact has already actually taken
place. In other words, the observer is always too late in
noting the time of first contact, the amount of tardiness
depending on the size of the telescope, the state of the see-
ing, but especially on the skill and experience of the ob-
server, which in turn depend on the number of eclipses wit-
nessed. Fourth contact is easier to observe than first since
the moon can be followed in the telescope until it leaves the
face of the sun. The beginning and ending of totality can be
more accurately observed than the two other contacts, but
they are subject to some uncertainties on account of irregu-
larities in the profile of the moon at the points of contact.
By means of photographs taken just before and just after
totality, when the crescent of the sun is small and changing
rapidly, the times of second and third contacts can be deter-
mined with much greater degree of precision than is attain-
able in visual work. It goes without saying that the error
of the chronometer should be known as accurately as
possible (probably obtained by wireless signals), that the
observed times should be recorded on the chronograph, and
that the latitude and longitude be known.
The photographs for contacts will unquestionably be
taken with the same instrument used during totality for the
corona. It will be necessary, therefore, to utilize a different
method of exposure and different technique from that em-
ployed on the corona. The brilliancy of the crescent sun
compared with the corona will be very great. To diminish
the brightness of the crescent images it will be necessary to
use a rapid exposing shutter. The best results photographi-
THE VERIFICATION OF ECLIPSES 67
cally will be secured by using slow, fine-grained plates, and
they should be specially " backed " to prevent halation
caused by reflection from the glass side of the plate. (See
Chapter VII.)
At the eclipse of 1905, totality came ahead1 of its pre-
dicted time, the beginning of totality being 17 seconds
earlier, while the ending came 23 seconds earlier than the
times predicted by the American Ephemeris. The middle
of totality was thus 20 seconds ahead of that calculated,
while the duration of totality was some six seconds less than
was expected from the computations. The time predicted
for the middle of totality by the British Nautical Almanac
was identical with that furnished by the American Ephem-
eris but the duration of the former was is.7 less than that
of the latter, while the duration calculated from the Con-
naissance des Temps was five seconds greater than that of
the American Ephemeris. All observers at the Spanish
eclipse had their program of observation greatly interfered
with by having the moon so far in advance of its predicted
place. Before the eclipse of June, 1918, the observers of
the U. S. Naval Observatory party in Oregon were furnished
by the Washington authorities with a correction of 12.5
seconds to be applied to the times of contacts calculated
from the American Ephemeris. The observed times were
about fourteen seconds ahead of those predicted by the
Ephemeris. At the eclipse of 1922, the Lick Observatory
party observed the beginning of totality some sixteen
seconds earlier than the time predicted, while the end of
totality came twenty seconds earlier than the Almanac
prediction.
Apparently, therefore, after having made due allowance
for all known possible sources of error, the moon has strayed
from the path mapped out for it by the mathematical astron-
omers by an amount which is not inconsiderable. What
is the cause of the moon being away from its predicted
place?
The first of the great modern authorities dealing with the
1 Lick Observatory Bulletin, 4, 118, 1905.
68 ECLIPSES OF THE SUN
motion of the moon was Hansen, who, in 1857, published
his Tables de la Lune. By the help of these tables the un-
explained fluctuations in the moon's motion were reduced
to a small fraction of their former amount. Hansen de-
rived the inequalities in the moon's motion largely from the
gravitational theory, but in order to satisfy the observa-
tions made with great care at Greenwich between 1750 and
1850, it was necessary for him to apply two empirical terms
supposed to come from Venus, the larger of the two having
a long period of 239 years.
The next advance was made by Simon Newcomb, who
published his Researches on the Motion of the Moon in
1878. In addition to the observational material utilized by
Hansen, Newcomb discussed all of the lunar eclipses re-
corded by Ptolemy in the Almagest and in addition a large
number of mediaeval lunar eclipses. He discussed a few
ancient solar eclipses, but excluded them from his calcula-
tions on account of their unreliability. The chief value of
Newcomb 's great work lay in collecting and discussing
observations of occultatioris and solar eclipses in the cen-
tury and a quarter previous to 1750. Newcomb had
thus 250 years of observations to discuss in place of
the hundred years of observations available to Hansen.
The whole material was utilized to secure the value of the
moon's motion and acceleration, and clearly showed the
presence of an unexplained term of long period. Newcomb
did not deduce the period of this term from the observations
themselves but assumed it identical with one of Hansen 's
terms (which is now known to be faulty). " It is no small
tribute to the thoroughness of Newcomb 's work that while
the observations from 1750 onwards have been thoroughly
examined by Cowell, Radau, and Brown, the reductions of
the observations from 1621 to 1747 have never been revised
by anyone but Newcomb himself." x
The third great investigation of the lunar theory is found
in E. W. Brown's Tables of the Moonys Motion, published
in 1920. These tables are more complete than those of
Hansen and Newcomb, and take account of every term of
1 Fotheringham, Monthly Notices, R. A. S., 80, 289, 1920.
THE VERIFICATION OF ECLIPSES 69
appreciable significance. In addition to these three great
monumental works on the Theory of the Moon by Hansen,
Newcomb and Brown, exhaustive investigations have been
made by many competent authorities. After making allow-
ance for the gravitational attraction of every conceivable
form of disturbance, it is unmistakable that the moon de-
Darts from her theoretical place in a very irregular manner.
An error in the assumed value of the acceleration of the
moon's mean longitude, even though this error is a very small
3ne, will cause errors in the predicted place of the moon which
increase in size for the reason that the errors depend on the
square of the elapsed time.
Tables of the Moon are used for predicting the place of
the moon in the different nautical almanacs which appear
some two or three years in advance. For these predictions
It is desirable to keep the theory of the moon as free as
Dossible from arbitrary empirical terms so that the theory
nay not be cluttered up by too many additions. When ob-
servations are secured the results can then be directly com-
pared with theory. Between the theoretical position of the
noon given by the almanac, and the observed place, there
nay be a difference of several seconds of arc.
For guiding the work of the eclipse astronomer it is now
leemed necessary to know the times of beginning and ending
)f a total solar eclipse within an error of a few seconds,
rlence it has become customary in recent years to secure
Tom Washington, or Greenwich, a month or more before the
eclipse takes place, corrections to the almanac positions of
;he moon. These corrections derived from observations in
he three-year interval since the almanac was prepared per-
nit increased accuracy in computing the eclipse.
On account of the difficulty of seeing the moon when near
he time of new moon, there is ordinarily a gap in the regular
unar observations, whether these are made by occultations
>r by meridian circle. An intense interest was aroused in
he United States by the total eclipse of 1925 and hence a
pecial attempt was made to utilize this interest in order to
iecure as many observers as possible. From large numbers
>f careful observations it was hoped that it might be pos-
70
ECLIPSES OF THE SUN
sible to detect any short-period deviations in the motion of
the moon, as well as to compare the results obtained by dif-
ferent methods of observation in order to see whether there
are systematic errors of observation peculiar to any of them.
At the time of the 1925 eclipse it was found that the dif-
ferences in the observed and tabular positions of the moon
had been nearly constant during the interval since the
Ephemeris was published. For predicting the eclipse, it was
necessary to apply a correction of + 7^.0 to the tabular
mean longitude of the moon as given in the American
Ephemeris and — 0^.50 to the lunar declination. After ap-
plying these changes to the moon's place, the observations of
the beginning and ending of totality gave the following cor-
rections to be applied to the predicted times of second contact
and duration of totality, the observations coming from
trained astronomers with every facility for obtaining accu-
rate positions of their stations and accurate time signals on
the day of the eclipse.
Place
Poughkeepsie, N. Y.
Beacon, N. Y.
New Haven, Conn.
Middletown, Conn.
Martha's Vineyard, Mass.
Nan tucket, Mass.
Dirigible, Los Angehs
Second
Contact
+ 3-M
+ i 8
4- () o
+ 3 6
+ 60
+ 49
Duration
— o.s8
- 2 Q
+ 08
O O
— 6.
- 3 7
- 0.9
A summary of the results of the observations discussed by
Brown1 for the 1925 eclipse gives corrections to be added to
the mean longitude of the moon 8X, and to the mean latitude
S/3 as follows, where n represents the number of observations:
Method
6X — 7 "oo
n
S0
n
Occultations
+ o "38 ± ."10
79
+ o "40 db "17
7Q
Photographs
— o 14 ± .25
ir
+ o 34 dc . 26
i i
Greenwich, meridian circle
— o 35 dc .16
16
— 0 85 rb .11
16
Washington, g-inch transit
- o 34 ± 15
16
— o 60 ± .16
16
Washington, 6-inch transit
+ 0 70 ± IQ
22
— 0.13 ± .18
21
Cape, meridian circle
+ o 42 d= 28
J3
— o 34 dr .46
TO
Eclipse
-f- O 40 dr 14
+ 0 80 ± .12
1 Astronomical Journal, 37, 9, 1926.
THE VERIFICATION OF ECLIPSES 71
The weighted mean of the results gives a correction to the
moon's longitude and latitude of + 0.^28 ±."06 and
+ o."32 ±."06, respectively.
The comparison of the results made by the different
methods is not without interest. The meridian observations
differ rather widely. The occultations and eclipse results
give corrections which agree within their probable errors.
All the non-meridian observations agree in giving a positive
correction to the lunar latitude and all the meridian results
give a negative correction, and hence systematic differences
of over i."o are shown. These discrepancies are partially ex-
plained by an assumption originally made by Hansen that
there is a difference between the center of mass and center of
figure of the moon. Brown has shown that the northern half
of the moon is probably the denser half.
The ranges in the times of second contact and the duration
of the eclipse, as exhibited in the table above, based on ob-
servations of skilled astronomers, appear much larger than
one would expect, but the observations of contacts during
the eclipse of 1914 contained in Meddelande jran Lunds
Astron. Obs., No. 20, show about the same differences. How-
ever, it must not be forgotten that the outline of the moon
departs from a perfect circle and that the time of the begin-
ning and ending of a total solar eclipse depends very largely
on the character of the lunar surface at the point of contact,
the beginning of the total eclipse not taking place until the
last Baily bead has disappeared.
The marvelous accuracy in the prediction of eclipses shows
the wonderful precision and perfection of the science of as-
tronomy. An observation of an eclipse of the sun made three
thousand years ago has an important bearing on the most
recent refined researches on the motion of the moon !
CHAPTER V
THE SPECTROSCOPE
ASTROPHYSICS, called the " new astronomy/7 has
revealed in a remarkable manner through its
discoveries during the past half century the won-
derful ability and resourcefulness of the human brain, mak-
ing it evident that man is gifted with almost infinite powers.
From this earth of ours, which astronomy teaches us to be
but an insignificant speck among the countless orbs of the
universe, man has been able to reach out and ascertain the
physical constitution of the sun, and to acquire this in-
formation with almost the certainty of a chemist who could
make a qualitative analysis provided that an average speci-
men of the sun's matter could be furnished him. And
across millions and millions of miles of space, the far dis-
tant suns, the stars, shining by their own feeble light, are
made to give up the secrets of their construction. Not
only can we learn of the constitution of the sun and stars,
but we can also ascertain their effective temperatures as
well, and with information thus garnered we can arrange
the stars in an orderly sequence, tracing their evolution
from the swollen red stars of very minute density, the so-
called " giants/7 through the successive stages of yellow
and white to that of the stars of class B, and then on in
the descending branch of development as the stars become
cooler and more dense. The astronomer believes in evolu-
tion and recent researches make evident that our gigantic
sun is but a yellow " dwarf/7 well advanced towards the
state of old age and final obscurity. It is by means of the
spectroscope that such information is gathered, and by the
spectroscope it has become possible to investigate motions,
not athwart the sky as the older astronomy was able to do,
but towards us or away from us in the line of sight, and
to measure these motions in miles per second. The shift
72
THE SPECTROSCOPE 73
of the lines of the spectrum due to motion in the line of
sight, which has been confirmed experimentally in the
laboratory, has given rise to many interesting developments
in astrophysics: the discovery of an entirely new class of
bodies, spectroscopic binaries, the measurement of the
axial rotation of the sun and Jupiter, as well as providing a
magnificent confirmation of the meteoric constitution of
Saturn's rings. And quite recently the greatest triumph
of the spectroscope has been achieved by Adams and his
co-workers at Mount Wilson Observatory being able to
determine the distances of the stars and thus find their
luminosities compared with that of the sun. Since its
birth in 1859, when Kirchhoff discovered the principles of
spectrum analysis, astrophysics has advanced by leaps and
bounds. In no branch of astronomy has the new instru-
ment of research shown its outstanding value quite as clearly
as in the development of the subject of eclipses of the sun.
For a clear understanding of the matter it will therefore
be necessary to give a brief account of the history of the
new astronomy.
The scientific world owes much to John Kepler for hand-
ing down to us the three great laws of planetary motion, but
his activities extended beyond the realm of mathematical
astronomy into the domain of physics. He was the first to
show — as he did in his " Dioptrics " — that if a beam
of sunlight be allowed to fall upon a prism in a certain way
it passes out as a colored beam, giving the colors of the
rainbow. And as the great Sir Isaac Newton took Kepler's
Laws and used them for finding the law of gravitation, so
likewise he extended the physical work of Kepler and by
reason and experimentation greatly increased our knowledge.
In fact, it is from Newton's labors that the science of spec-
trum analysis virtually had its birth.
In 1666, Newton, by allowing sunlight to pass through a
hole in a shutter and to fall on a glass prism, found a colored
ribbon of light, an impure spectrum. His description of the
effect observed is so clear that the following is copied from
Optics, Third edition, page 21."
1 See also, The Spectroscope and its Work, Newall, 191 1. For greater details
consult Chemistry of the Sun, Lockyer, 1887, and Handbuch der Spectroscopie,
Kavser, Vol. i.
74 ECLIPSES OF THE SUN
" In a very dark chamber at a round hole about one-
third part ot an inch broad made in the shut of a window
I placed a glass prism, whereby the beam of the sun's light
which came in at that hole might be refracted upwards
toward the opposite wall of the chamber, and there form a
coloured Image of the Sun. The axis of the prism (that is
the line passing through the middle of the prism from one
end of it to the other end parallel to the edge of the refract-
ing angle) was in this and the following experiments per-
pendicular to the incident rays. About this axis I turned
the prism slowly, and saw the refracted light on the wall
or coloured image of the sun first to descend, and then to
ascend. Between the descent and ascent when the image
seemed stationary, I stopped the prism and fix'd it in that
posture, that it should be moved no more. For in that
posture the refractions of the light at the two sides of the
refracting angle, that is at the entrance of it, were equal to
one another. So also in other experiments, as often as I
would have the refractions on both sides of the prism to be
equal to one another, I noted the place where the image of
the sun formed by the refracted light stood still between its
two contrary motions, in the common period of its progress
and regress; and when the image fell upon that place, I
made fast the prism. And in this posture, as the most con-
venient, it is to be understood that all the prisms are placed
in the following experiments, unless where some other pos-
ture is described. The prism therefore being placed in this
posture, I let the refracted light fall perpendicularly upon
a sheet of white paper at the opposite wall of the chamber,
and observed the figure and dimensions of the solar image
formed on the paper by the light. This image was oblong
and not oval, but terminated with two rectilinear and paral-
lel sides, and two semicircular ends. On its sides it was
bounded pretty distinctly, but on its ends very confusedly
and indistinctly, the light there decaying and vanishing by
degrees."
Newton concluded that white light was made up of
separate colored rays; by passing the light through the
prism, the different rays suffered different amounts of re-
THE SPECTROSCOPE 75
fraction; they were in fact dispersed, and as a result the
spectrum consisted of an infinite number of colored images
of the round hole lying side by side. In the middle of the
spectrum the different rays overlapped, and white light
resulted, but the ends remained colored. Newton found
that by the use of a slit " an inch or two long, and a tenth
or a twentieth of an inch in width,'7 the spectrum became
purer; and he even tried a triangular hole, observing
greater and greater purity as the vertex was approached.
He proved conclusively that the colors came from the sun's
light itself and not from the prisms, for he produced spectra
with a variety of different prisms, and afterwards combined
the prismatic colors together to make white light. He
further showed that each ray of light consisted of a single
color and possessed a certain definite refrangibility.
Newton's books on optics (published in 1704) are mar-
vels of clearness of exposition, and his fundamental ex-
periments have come down to us almost unchanged. The
significant result of Newton's work is that the pure colors,
and not white light, occupy the primordial position of im-
portance, since it is possible to form all conceivable colors in-
cluding white light from a mixture of the pure colors. A
determined color in the spectrum is defined through its index
of refraction, and since this quantity continually varies,
there is an infinite number of spectral colors.
Newton did not see any of the dark lines of the solar
spectrum, now known as Fraunhofer lines, though he used
a narrow slit and should have been able to see them, — but
his prisms were poor (as he himself said). The authority
of his great name discouraged further experimentation, and
no advances were made for one hundred years. Unfortu-
nately he made some mistakes, first in dividing the colors
into seven, the quantitative number of such great attrac-
tion and " perfection " to the early scientists, thereby per-
haps preventing the discovery of the Fraunhofer lines, and
second, in not seeing that various media dispersed differ-
ently. As is well known, Newton said that the case of the
refracting telescope was a deplorable one, and following
his time these telescopes were made of enormous lengths,
76 ECLIPSES OF THE SUN
up to two hundred or even three hundred feet, in order to
minimize the color difficulty. However, if Newton had
been in a position to make use of different kinds of glass
of crown and flint as Fraunhofer was later, it is altogether
likely that many other discoveries of great importance
would have been made by him.
The long period of arrested progress was broken in 1802
when Wollaston, making use of a slit, repeated Newton's
experiments. He then found,1 " The colours into which a
beam of white light is separated by refraction appears
to me to be neither seven, as they are usually seen in the
rainbow, nor reducible by any means to three, as some
persons have conceived; but that, by employing a very
narrow pencil of light, four primary divisions of the
prismatic spectrum may be seen with a degree of distinct-
ness that, I believe, has not been described nor observed
before. . . . The four colors are, red, yellowish-green, blue
and violet." He then goes on to describe the dark markings
that were seen in his spectrum, these being ill-defined in
appearance and evidently taken as the natural divisions
between the colors. It is readily apparent that the prisms
used by Wollaston were likewise poor in quality, for his
experiments were made in a manner that should have
brought to view the thousands of dark lines in the solar
spectrum. However, a very great advance was made over
the work of Newton, for the spectrum of a candle flame
and of an electric light were examined. Spectra were found
which not only differed from each other in appearance but
each of which was entirely unlike that furnished by the
sun. The candle and the electric light each gave a spec-
trum of bright lines, a discontinuous spectrum. The funda-
mental importance of these experiments was not at the time
recognized.
The life of Joseph Fraunhofer2 had an almost tragic
beginning. At the age of fourteen he lived in a dilapidated
house in an alley in Munich which tumbled down and
buried its occupants in the ruins. The other residents were
1 Phil. Trans., part i, 378, 1802.
2 Clerke, History of Astronomy during the Nineteenth Century.
THE SPECTROSCOPE 77
killed, but the boy, who was an orphan, was dragged out.
more dead than alive and seriously injured. The Elector
Maximilian Joseph was a witness of the accident and to
show his commiseration made him a present of eighteen
ducats. Besides the purchase of books and of a glass-
grinding machine the money permitted his release from ap-
prenticeship to a looking-glass maker. Through study and
toil and privation he increased his knowledge of the
optician's art and at the age of nineteen entered the glass-
making firm of Von Reichenbach and Utzschneider. He de-
voted himself now with great avidity to a study of lenses
for the purpose of improving the refracting telescope. After
Newton's time, Dollond had discovered that it was possible
to banish most of the color which so interfered with the
action of the refracting telescope, by combining a lens of
crown glass with one of flint. By means of many experi-
ments with prisms of glass of different varieties, Fraunhofer
was able to investigate the best combination of two lenses
that would give the most perfect definition with freedom
from the disturbing color. In 1817 there was finished the
great " Dorpat refractor " with the then unprecedented
aperture of nine and a half inches. This telescope in the
skillful hands of Struve became one of the most famous
telescopes ever in existence. To Fraunhofer the astronomi-
cal world is also indebted for the first really serviceable
heliometer, that at Konigsberg, an instrument which was to
play an important part in extending our knowledge of
the sidereal universe by permitting the measurement of
stellar distances, or, as they are technically called, stellar
parallaxes.
In 1814, Fraunhofer not only extended Wollaston's work
but introduced great improvements in the method of ob-
serving. The slit was retained but placed at a great
distance from the prism. Instead of allowing the refracted
beam of light to fall on a screen he placed a small telescope
directly behind the prism and by this means a magnified
view of the spectrum was obtained.
" Into a dark room, and through a vertical aperture in
the window-shutter, about 15" broad and 36" high, I intro-
78 ECLIPSES OF THE SUN
duced the rays of the sun upon a prism of flint glass placed
upon the theodolite; this instrument was 24 feet from the
window, and the angle of the prism was nearly 60°. The
prism was placed before the object glass of the telescope,
so that the angles of incidence and emergence were equal.
In looking at this spectrum for the bright line which I had
found in the spectrum of the artificial light, I discovered,
instead of this line an infinite number of vertical lines of
different thickness. These lines are darker than the rest of
the spectrum, and some of them appear entirely black." *
The interrelation of these lines and streaks appears to be
the same no matter what refracting substance is employed
so that, for instance, a particular band is found in each case
only in the blue, another is found only in the red, and one
can therefore learn to recognize a particular line in the spec-
trum by noting its position with respect to the prominent
lines. Fraunhofer observed that the strong lines did not
mark the edges of the colors as Wollaston had supposed
and further that the same color is found on both sides of the
line, the colors grading by imperceptible degrees from one
color to the next. Starting from the violet end of the spec-
trum, the colors are given the following names: violet, in-
digo, blue, green, yellow, orange and red. As Lockyer has
pointed out, the first letters of these color names make the
combination VIBGYOR, — an aid to memory that the beginner
may find useful.
Fraunhofer constructed a map of the lines of the solar
spectrum, measuring by means of the circle of the theo-
dolite the accurate positions of over 350 lines, though
he counted no less than 754. Starting at the red end of the
spectrum he called the more prominent lines by the letters
of the alphabet. Thus A, B and C denote lines in the red
part of the spectrum, D the prominent double lines in the
yellow part, which we now know to be due to sodium, while
H and K in the violet are the very broad lines caused by cal-
cium. In addition, the small letters of the alphabet were
made use of, b, for instance, denoting a group of lines in the
green due to the element magnesium. Not only are the
1 Denkschriften der K. Akad. der Wissen. zu Miinchen, 5, 193, 1814.
THE SPECTROSCOPE 79
prominent lines of the solar spectrum to which Fraunhofer
gave names called after their discoverer, but all dark lines
in the spectrum whether prominent or faint are known as
Fraunhofer lines.
He plotted his lines not according to their wave-lengths
as in the manner of all modern maps, but according to a
rather arbitrary scale. Now that the solar spectrum has
been more fully investigated with the perfected apparatus
of the twentieth century, we can go back and gauge at its
true value the worth of Fraunhofer's map. Thus we have
the opinion of Hartmann of Potsdam to the effect that
Fraunhofer made his map with the greatest degree of re-
finement and secured a precision which has warranted spec-
troscopists of the past hundred years placing in it the great
confidence that they have felt. Fraunhofer's life and work
is a splendid example of what one man by patient and care-
ful work can accomplish for the cause of science. Any one
who has ever looked into a spectroscope will realize what a
colossal work the making of this map must have been.
Since the lines and bands in the color image have only a
very small width, it is evident that the apparatus must be
most perfect to avoid all aberrations which could either ren-
der the lines indistinct or entirely scatter them. The faces
of the prism must therefore be perfectly plane; the glass
to be used in such prisms should be entirely free from waves,
streaks and striae ; and the greatest care should be exercised
in their grinding and polishing. These and other considera-
tions, such as, that the slit must be parallel to the edge of the
prism, Fraunhofer found out by careful experimenting.
Fraunhofer, however, was not content with this work.
He wanted to know something of the origin of the lines,
and he soon came to a conclusion on this point. It occurred
to him that they might possibly be attributed to some illu-
sion caused by the narrow aperture through which the light
was admitted. We know that the shape of the slit has
something to do with the forms of these dark spaces in the
spectrum, but with their simple existence as spaces the slit
has nothing to do, the mere shape of the lines being quite a
trivial matter. To settle this question beyond doubt he
80 ECLIPSES OF THE SUN
changed the slit which he was using in order to ascertain
if this would change his spectrum. He passed light through
a small round hole of 15" in diameter, and allowed it to fall
upon the prism placed in front of the objective of the theod-
olite. It is clear that the color-image seen with the tele-
scope can have only an inappreciable width, and therefore
will form only a line; but in this narrow colored width no
fine cross lines can be seen. In order to widen this narrow
stretch of light into a band wide enough to see, Fraunhofer
made use of a cylindrical lens, or a lens which is plane on
one side and curved on the other resembling a portion of a
cylinder of large diameter. The axis of the cylinder was
placed parallel to the base of the prism and hence parallel
to the line of light. Consequently, the width of the spec-
trum would be changed without in any way altering its
length. With this arrangement the lines were observed to
be exactly the same as when the light comes through a long
narrow opening. Hence the bands and lines in the solar
spectrum are not caused by diffraction and interference by
the light passing through the slit, nor are they produced by
any peculiarities in the apparatus. There is, therefore, only
one other possible cause for these lines, and that is that they
somehow or other belong to the light given out by the sun.
Hence the solar spectrum is not a continuous spectrum having
light of all colors and all wave-lengths, but is, on the con-
trary, a discontinuous one in which vibrations of certain
lengths are missing from the sum-total which goes to make
up white light.
If the sun is remarkable for this discontinuous spectrum,
what types of spectra do the other heavenly bodies show?
If Fraunhofer could examine the light from a small round
opening at a short distance from his instrument, there is no
reason, if the light were sufficient, why he should not ex-
amine the light from a round body made apparently small
by the fact of its situation at a great distance. He ex-
amined, therefore, the light from Venus directly without
making the light pass through a small opening, and he found,
after spreading out the light by means of the cylindrical
lens; that the same lines appeared in the light of Venus as
THE SPECTROSCOPE 81
appear in sunlight. Since, however, the light from the planet
is very feeble in comparison with the light received from the
sun, the intensity of the violet and red colors of its spectrum
are very weak, and on this account even the stronger lines
in both these colors are seen with difficulty, though in the
other colors they are very easily distinguished. Fraunhofer
was able to see D, E, b and F perfectly defined and he even
recognized in the triplet b in the green, two lines, one weak
and one strong, although he was unable to see that the
stronger of these two lines was really a double line. This,
of course, was due to the weakness of the spectrum, and for
this same reason the other finer lines could not be distin-
guished satisfactorily. By measuring the arcs DE and EF
it was made certain that the light from Venus contained, as
far as could be analyzed, just the same lines in its spectrum
as did the light of the sun.
With this same apparatus observations were made on the
light of some fixed stars of first magnitude, but since the
light of these stars is much weaker than that of Venus, it
is natural that the brightness of the spectrum should be
much less. In spite, however, of this comparative lack of
brilliancy, Fraunhofer was able to recognize with certainty
in the spectrum of Sirius three broad lines which appear to
have no connection with those of sunlight: one of these is
in the red, one in the green, and the other in the blue. In
the spectra of other fixed stars of the first magnitude, lines
were actually recognized by him, and it seemed certain that
these spectra though very faint differed amongst themselves.
The observations were made with a telescope of an aperture
of about one inch, so that it was impossible for the distin-
guished pioneer to do more than to point out the way. In
such a manner as this was the science of stellar spectroscopy
born.
As we have seen, Fraunhofer examined the stellar spectra
by allowing the light from the star to fall directly on the
prism and after refraction to examine this light by the
telescope. This same method of observation is still of the
greatest scientific value and it is in this way that Harvard
College Observatory has been able to accomplish such an
82 ECLIPSES OF THE SUN
enormous amount of sound research by methods involving
the use of the spectroscope. The combination of prism and
object glass is called an " objective prism " — or, when used
for photographing, the " prismatic camera." If we point
such an instrument to any place in the sky, we can view by
our eye, or photograph on a plate, the spectrum not of one
star only, but of all the stars that are in the field of the
telescope.
It is not to be wondered at that a man who had thus
brought sun, planet and star within the grasp of a new in-
strument should not rest content with these observations.
Fraunhofer next investigated at considerable length the
spectra of artificial light. In an early part of his paper he
states that, on examining the spectra of flames, he found
that flames such as that of a lamp and candle, and, indeed,
in general the light produced by the flame of a fire, exhibit
between the red and yellow of the spectrum a clear and well
marked line which occupies the same place in all the spectra.
Returning to this subject later, he notes that in transmitting
the light of a lamp through the same aperture employed for
the examination of the solar spectrum, a line appears which
corresponds exactly to the position of the D line in the solar
spectrum. In fact, the resemblance to the solar D line is so
close that both the bright artificial line and the solar D line
are each a fine double line. This was the first step towards
the true explanation of the dark lines in the solar spectrum;
but it took many years before the true meaning was arrived
at, mainly on account of the presence of this bright D pair
in practically every flame and under all conceivable sets of
conditions.
According to Agnes M. Clerke,1 " the ubiquity and con-
spicuousness of the sodium-line long impeded progress. It
was elicited by the combustion of a surprising variety of
substances — sulphur, alcohol, ivory, wood, paper; its per-
sistent visibility suggesting the accomplishment of some uni-
versal process of nature rather than the presence of one in-
dividual kind of matter. But if spectrum analysis was to
exist as a science at all, it could only be by attaining cer-
1 History of Astronomy during the Nineteenth Century.
THE SPECTROSCOPE 83
tainty as to the unvarying association of one special sub-
stance with each special quality of light. It appeared, in-
deed, without fail where sodium was; but it also appeared
where it might be thought only reasonable to conclude that
sodium was not. Nor was it until thirty years later that
William Swan, by pointing out the extreme delicacy of the
spectral test, and the singularly wide dispersion of sodium,
made it appear probable (but even then only probable) that
the questionable yellow line was really due invariably to
that substance. Common salt (chloride of sodium) is, in
fact, the most diffusive of solids. It floats in the air; it flows
with water; every grain of dust has its attendant particle;
its absolute exclusion approaches the impossible. And
writhal the light that it gives in burning is so intense and
concentrated, that if a single grain be divided into 180 mil-
lion parts, and one alone of such inconceivably minute frag-
ments be present in a source of light, the spectroscope will
show unmistakably its characteristic beam."
The advance made by Fraunhofer in studying the re-
fraction of light through prisms placed the new science on
a very firm foundation. This remarkable progress, due to
the very marked improvement in the quality of the glass
used in the prisms, was rendered possible only by the em-
ployment of a telescope of greatly increased defining power.
The utilization of the telescope permitted advances in the
study of diffraction of light through a narrow aperture or
slit, as important and as epoch-making as the investigations
concerning the refraction of light. The instrument used by
Fraunhofer was essentially a twelve-inch repeating theodo-
lite whose verniers read to 4". In the middle of the circle
and about it there is a plane horizontal disk six inches in
diameter which turns on its axis, and whose center lies ex-
actly on the axis of the theodolite. On this disk, the slit to
be investigated was placed. The width of the opening in
the slit was measured by a micrometer devised for the pur-
pose which could read to o.oooi inches. Light passing
through a narrow opening at the heliostat and falling on the
screen with its slit is examined by the theodolite telescope.
Fraunhofer discovered the diffraction pattern which consists
84 ECLIPSES OF THE SUN
of a bright strip in the center having symmetrically on each
side a series of bright and dark bands, if the incident light
is monochromatic. If the incident light is sunlight, instead
of having bright and dark bands, there will be found a series
of colored bands in which, however, the transitions from one
color to another are not sharply defined. The series of
bands gradually decrease in brightness in passing outwards
from the central beam of light until they are finally rendered
invisible. Instead of employing a long, narrow opening at
the heliostat, he used a small circular opening, in front of
which he placed a cylindrical lens and as a result obtained
bands identical with those produced by the other method.
In the process of development of this subject, the natural
course after trying diffraction through a single opening,
would be to try the action of two, three and more parallel
openings. This was exactly the plan followed by Fraun-
hofer. In order to study the diffraction through a great
number of openings he stretched upon a rectangular frame
a great many wires of the same thickness, parallel to each
other and at the same distance apart. The light was then
diffracted through the intervening spaces. In order to be
sure that the wires were exactly parallel and at exactly equal
distances apart, he made two very good micrometer-screws,
and putting these on opposite sides of a frame, he wound
on this frame very fine wire, being careful to stretch the
wire at a constant tension. If now he soldered along the
length of the screws, each wire was thus securely fastened,
and by sawing each screw in halves, two similar wire grat-
ings were obtained. By this method gratings were manu-
factured consisting of wires 0.002 inches thick, and sepa-
rated by spaces of 0.004 inches. Using a grating of 260
turns of wire, and examining the light which first passed
through a narrow opening at the heliostat and then fell on
the grating placed in front of the theodolite objective, he
found, much to his surprise, phenomena which were entirely
different from those observed with a single opening. The
aperture at the heliostat was seen exactly as if no grating
intervened, but on both sides were seen a series of spectra
as perfect as he had hitherto obtained with a good prism.
SUN-SPOT WHICH DEVELOPED IN TWENTY-FOUR HOURS
Photographed at Mt. Wilson. The black circle at left of lower picture
shows the size of the earth.
W
H
H
§
N
s
a
o
W
0,
O
u
o
H
§
o
THE SPECTROSCOPE 85
The series of spectra gradually increased in length but de-
creased in intensity, and with his apparatus he was able to
count thirteen spectra on both sides of the middle. In order
to vary the conditions as much as possible, gratings were
made of different thickness of wire and with different spaces.
Wire was wound on a screw having as many as 343 threads
to the inch. Gratings were also made by scratching parallel
lines on a piece of glass covered with goldfoil, through which
spectra were observed exactly similar to those observed with
wire gratings. Fraunhofer quickly found that the size of
the spectra produced did not depend upon the width of the
spaces nor upon the thickness of the wires, but upon the
sum of these two quantities, or the distance apart of the
centers of the wires. Consequently, the finer the screw in
whose grooves the wires were stretched, the longer would
be the spectra, and it became immaterial of what thickness
the wire was or how wide the opening. The quality and
accuracy of a grating depends on the precision attained in
the attempt to arrange wires of the same width throughout,
and in making the wires perfectly parallel, with their centers
equally distant.
Although the same dark lines were seen in the spectrum
of sunlight when produced by the grating as were found
when a prism was employed, one point of difference was
revealed in the relative distances apart of the lines in the
two spectra. In the diffraction spectrum of the grating, each
of the different colors, the red, orange and so on through
the blue and violet, is about equal in extent, while in the
prismatic spectrum on the other hand the colors at the red
end grow more and more crowded together, with the result
that the violet reaches to a much greater extent in prismatic
spectra than the red. Consequently, the appearance of a
diffraction spectrum differs very much from that of a pris-
matic spectrum, and it is well to be familiar with the two
different types of spectra.
In a normal spectrum produced by a grating, the disper-
sion from the C line in the red to the D lines in the orange
is approximately twice the distance from G to the H-line in
the violet; whereas with a flint prism of 27° angle the ex-
86 ECLIPSES OP THE SUN
tents of the red and violet are changed in such a remarkable
manner that the distance from C to D is only one-half that
from G to H.
There is also another marked difference between prismatic
and diffraction spectra. In using a prism to form a spec-
trum, the red rays are the least bent from their incident di-
rection, and as a result we speak of the red as the least
refrangible. How is it with the diffraction spectrum with the
bright beam in the center and spectra on both sides? Is the
violet or the red end towards the bright patch? The red is
the least refrangible end in prismatic spectra, but not in
diffraction spectra, for the violet is nearest to the bright
patch with the red end bent more from the original direc-
tion. However, since spectrum analysis was first developed
from the use of prisms, a nomenclature has been adopted
which, though applying essentially only to prismatic spectra,
is used indiscriminately in respect to spectra of both kinds.
Thus in referring to the least refrangible rays, the red end
of the spectrum is always meant and never the violet, al-
though in the diffraction spectrum the violet is the least
refrangible end.
After measuring the angles by means of the theodolite,
Fraunhofer was able to formulate two laws: first, the size
of the spectra, and their distances from the center (or the
dispersion) vary inversely as the distance between the cen-
ters of the lines in the grating; and second, the dispersions
in the different spectra for any ray form an arithmetical
series.
This second law states in other words that the angle of
deflection of the same colored beams in the series of spectra
formed by the grating are in the ratio of the numbers i, 2,
3, etc. The experiments from which these results were de-
duced gave, however, such small angles that the sine, the
tangent and the arc do not sensibly differ. If the angles
were larger, that is, if the gratings had greater dispersion,
it might be possible to determine whether it was the arcs
themselves that form an arithmetical series, or some func-
tion of these angles. Having this in view, Fraunhofer made
further experiments on gratings to find whether it would not
THE SPECTROSCOPE 87
be possible to get gratings of greater dispersion. As it was
almost impossible to evolve a screw, for the manufacture of
his wire gratings, with a smaller pitch than the one he had
already employed of 343 threads to the inch, he constructed
a machine for scratching parallel lines upon a piece of plane
glass covered with gold-foil, and he succeeded in scratching
them so closely together that he was able to rule a grating
with about 900 lines per inch. If more lines than this were
scratched, practically no gold- foil remained. With this grat-
ing and with others, he measured the deflection for different
rays in different orders of spectra and he found that the
sines of the angles of deflection increased uniformly in the
different orders of spectra, or in other words Sin 0 = — -,
0}
where 0 is the angle of deflection, n is the order of spectrum,
X is the wave-length and co the grating space.
Using this equation, Fraunhofer was able to astonish the
world by telling them that he had been able to measure the
infinitesimal length of a light-wave, for the D line of
0.00005888 cm., which is very close to modern determi-
nations.
To sum up the work of Fraunhofer: he was a telescope
maker, and in order to improve his lenses entered into an
investigation of prisms in order to study the action of light
in passing through them. Using a telescope in connection
with his apparatus, he found the spectrum of sunlight filled
with lines, now called " Fraunhofer lines." Investigating
the spectra of flames he found the bright D line doubled and
in the same position exactly as the dark D in the solar spec-
trum. He examined the spectra of planets and stars. Tak-
ing up diffraction, he studied the action of light passing
through a single opening, and formulated the laws govern-
ing it. He then studied the action of light through parallel
openings side by side. Next he attempted to rule lines in
a layer of grease spread over a glass plate so thinly that the
film could scarcely be recognized by the eye alone. In this
grease parallel lines were scratched which were only half as
far apart as the lines ruled in gold-foil. After many experi-
ments it was found impossible to rule lines in any layer of
88 ECLIPSES OF THE SUN
grease or varnish much finer than the gold-foil grating. A
diamond point is the only method yet known in modern en-
gineering that will provide sharp and sufficiently clean cut
lines to permit the construction of finer gratings.
Let us stop a moment and think what it means to rule a
grating with a diamond and try to visualize the total lengths
of the lines the diamond point must trace, practically with-
out variation. The finest gratings ruled by Rowland have
20,000 lines per inch, and if the grating possesses a ruled sur-
face of 3 x 6 inches, the diamond evidently rules 3x6
x 20,000 or 360,000 inches, a distance of nearly six
miles. If in ruling this distance the diamond point
wears appreciably or breaks down, the previous rulings
are useless. Altogether it takes from five to six days
continuous working to rule such a grating. What a task
Fraunhofer must have had in ruling his gratings! In-
deed it must have consumed an enormous amount of
time and patience, with numerous vexations caused by
imperfect rulings and the fracture of the diamond points.
It was only after many trials that he succeeded finally in
getting a grating with about 7500 lines to the inch. In
order to obtain good definition with his little telescope it
was necessary for the slit to be at some considerable dis-
tance (as much as 642 feet in one set of experiments) in
front of the prism. A great advance in instrumental equip-
ment was later made by Simms, of the celebrated optical firm
of Troughton and Simms, who rendered, by the introduction
of a lens between slit and prism, the incident rays parallel
in falling on the prism. Thus was introduced the collimat-
ing lens which increased the compactness of the spectroscope
and rendered it almost as we now use it.
In England, Brewster and Herschel undertook a great va-
riety of experiments by means of which they examined the
absorbing effects of various colored substances. A piece of
red glass permits only the red part of the spectrum to pass
through it, the balance of the spectrum being absorbed by
the glass, while blue glass allows only the blue end of the
spectrum to pass unobstructed. It consequently became
evident that the absorbing effect of the terrestrial atmos-
THE SPECTROSCOPE 89
phere should be carefully investigated before any certain
information could be obtained regarding the cause of the
dark lines in the solar spectrum. The water vapor in our
atmosphere exerts a powerful absorbing action on the light
of the sun as it passes through the air on its way to reach
the slit of the spectroscope. The absorption commences at
the blue end of the spectrum and becomes gradually greater
and greater as the sun sinks towards the horizon. For very
dense layers of atmosphere, when the sun is near the horizon
either in rising or setting, the absorbent action is s5 great
that little of the solar spectrum penetrates except the yellow
and red parts, the violet end being entirely absorbed. For
this reason the sun is always red when rising or setting, and
the color becomes a deeper red when dust or haze in the
atmosphere causes a greater absorbing effect. At the time
of a total eclipse of the moon, the light from the sun passes
through what might be termed a double layer of terrestrial
atmosphere with the consequence that there is an increased
absorption, the moon thus shining with a dull copper colored
hue, and this in spite of the fact that the moon is immersed
in the shadow cast by the earth!
By 1833, Brewster announced that he had examined the
lines of the solar spectrum with various optical combina-
tions, and had made a map of the solar spectrum on a scale
four times that of Fraunhofer. Indeed for some portions
of the spectrum the scale was twelve times Fraunhofer's.
By observing the absorbing effect of various substances he
soon found that some of these substances exerted a general
darkening action on the spectrum, whereas other materials
produced an absorption in a limited portion of the spectrum.
At times the effect was so limited in action that bands or
even lines, sharp and distinct, were added to the solar spec-
trum. These phenomena were so clearly defined that the
conviction was borne in upon Brewster that he had obtained
" the discovery of a general principle of chemical analysis,
in which simple or compound bodies might be characterized
by their action on definite parts of the spectrum.'7
In the course of his investigations, Fraunhofer varied the
conditions under which he observed, using different kinds
90 ECLIPSES OF THE SUN
of slits to see if the dark lines in the solar spectrum were
caused by some action at the slit itself; but when he found
that the form of the slit had nothing to do with the presence
of the lines, he concluded that the lines must be truly solar
in their origin. Brewster endorsed this view and inferred
that if a tube of nitrous oxide gas gave lines identical in
character with the solar lines, these lines must then be
caused by absorption at the surface of the sun. When in
addition he found that many of the lines of nitrous acid gas
appeared to be identical in position with some of the Fraun-
hofer lines, the verification seemed to be complete. Brewster
made another important discovery which is described in
his own words as follows : " When the sun descends towards
the horizon and shines through a rapidly increasing depth of
air, certain lines which before were little, if at all, visible,
become black and well defined, and dark lines appear even
in what were formerly the most luminous parts of the spec-
trum." As these lines appear both at sunrise and sunset,
Brewster announced the discovery that these bands and lines
were caused by the absorbent effect of the earth's atmos-
phere. Since the majority of the lines in the sun, however,
appeared without change, he concluded that, " the apparent
body of the sun is not a flame in the ordinary sense of the
word, but a solid body or coating raised by intense heat to a
state of brilliant incandescence."
To quote from Lockyer, Chemistry of the Sun, page 41,
" It will be seen, then, that the study of the sun was now
(1833) in full swing. We had at length, after waiting some
centuries, a method of observing a spectrum; we had,
further, the fact that there were dark lines in the solar
spectrum; that colored flames gave us bright lines; that
certain substances stopped some of the light which passed
through them, thus producing dark lines. Hence that the
solar lines might be produced in the same way."
CHAPTER VI
THE SPECTROSCOPE (CONTINUED)
THE solar eclipse of 1836 played a very important
role in the history of the development of the new
science of astrophysics. The eclipse was visible at
Edinburgh. It was not a total eclipse, however, but merely
an annular one. At such an eclipse the angular diameter of
the moon is smaller than that of the sun, with the result that
at the middle of the eclipse there is a ring or annulus of sun-
light visible around the edge of the dark moon. This eclipse
was observed by Forbes. Referring to Brewster's discovery
of atmospheric lines in the solar spectrum, Forbes clearly
pointed out that the " telluric " lines were comparatively
few in number and relatively unimportant compared with
the very great number of solar lines. Moreover, he empha-
sized the fact that the Fraunhofer lines could not have been
caused by the absorbing effect in our terrestrial atmosphere,
for if this were true the spectra of the stars should be iden-
tical with that of the sun. As the spectra of the stars dif-
fered among themselves and were not always identical with
the spectrum of the sun, it was manifest that it was not pos-
sible to imagine a terrestrial origin for all of the solar lines.
Consequently, if the absorbing action of the earth's atmos-
phere could not be invoked to give an adequate explanation,
there remained no other cause than that the origin of the
lines must take place within the sun's own atmosphere. If,
therefore, this was the true explanation, then an annular
eclipse of the sun should furnish a crucial test. The ter-
restrial lines of the solar spectrum become more and more
intensified as the sun's light reaches us through greater and
greater layers of our earth's atmosphere, and in like fashion
it appeared evident to Forbes that a similar effect must be
visible in the lines of truly solar origin. And since the light
91
92 ECLIPSES OF THE SUN
from the limb of the sun must pass through a much greater
thickness of solar atmosphere than that from the sun's cen-
ter, the lines from the sun's edge, observable at the time of
the annular eclipse, should be much intensified in comparison
with the Fraunhofer lines ordinarily visible from the sun's
center. When the eclipse took place no change whatever
was observed by Forbes in the number, position or intensity
of the lines, and the obvious conclusion was drawn by him
that, " This result proves conclusively that the sun's atmos-
phere has nothing to do with the production of this singular
phenomenon."
To us living in the twentieth century, it seems passing
strange that Forbes did not try the experiment of comparing
the limb and the center of the sun by forming an image of
the sun on the slit of his spectroscope by means of a project-
ing lens. This plan was undoubtedly in his mind as the
following shows: "Had the weather proved unfavorable
for viewing the eclipse, I intended to have tried the experi-
ment by forming an image of the sun by using a lens of long
focus, stopping alternately by means of a screen the interior
and central moiety of his rays, and restoring the remainder
to parallelism by means of a second lens, then suffering these
to fall on the slit as before. The result of my experiment
during the eclipse seemed, however, so decisive as to no
marked change being produced at the sun's edges that I
have thought it unnecessary to repeat it."
The scientific world in the first half of the nineteenth
century knew little of laboratory methods and it was not
at that time a habit of mind to test any theoretical conclu-
sions by means of experimentation. In fact it was not until
the year 1866 that the idea of Forbes was carried into execu-
tion and a projecting lens utilized for the examination of
local phenomena such as the spectra of the limb or of sun
spots.
In 1845, there was performed in England by W. H. Miller,
the very experiment that later in Kirchhoff s hands was the
crucial proof of the cause of the Fraunhofer lines. This
experiment consisted in passing sunlight through various
vapors heated to incandescence in a flame and noting the
THE SPECTROSCOPE 93
changes in the solar spectrum. He observed that in passing
sunlight through glowing sodium vapor, the D lines were
intensified. It is surprising that he appears to have sought
no explanation of this amazing fact, and the surprise is all
the greater since Miller's experiments were carried out with
the express purpose of testing the theory that the Fraunhof er
lines were actually produced by absorption in the sun's
atmosphere.
This line of investigation was continued in 1849 by
Foucault in Paris who was able to use a new method of
heating salts and metals to the glowing point by the use of
the electric arc. He focused an image of the sun on the
arc itself and this procedure allowed him to observe at the
same time the spectra of the arc and of sunlight. Inciden-
tally he was surprised to discover the extreme transparency
of the arc which caused only a faint shadow in the sunlight.
This experiment manifested to Foucault that when the two
spectra were exactly superimposed, the D line of sunlight
was made considerably darker, proving that the arc ab-
sorbed the D rays; but that when, on the contrary, the two
spectra jutted out one beyond the other, the D line appeared
darker than usual in sunlight, yet stood out bright in the
electric spectrum, thus demonstrating the perfect coinci-
dence in position ot the dark and bright rays. " Thus the
arc presents us with a medium which emits the rays D on
its own account, and which at the same time absorbs them
when they come from another quarter." It was difficult to
explain how it was possible for a glowing flame to furnish
at the same time both bright and dark lines, — and the riddle
of the solar lines seemed a hard one to solve. As early as
1850, Stokes seemed to have clearly grasped the solution
of the problem, and he inserted a discussion of these matters
in his university lectures at Cambridge.1 Moreover, he
seems to have been the first to localize the cause of the
yellow D lines since he observed that the bright line was
absent from a candle flame when the wick was snuffed clean,
and from an alcohol flame when the spirit was burned in a
watch-glass. Although he so clearly saw that the D lines,
1 See Lockyer, Chemistry of the Sun, p. 51.
94 ECLIPSES OF THE SUN
whether bright or dark, were caused by sodium vapor, and
therefore correctly concluded that the absorbing effect of
the sodium was in the neighborhood of the sun, he made no
further experiments to test his deductions; and the honor
for the great discovery waited another nine years. Thus
again was demonstrated — which has frequently happened
in the history of science — that though many investigators
have converged towards the same goal of discovery, yet the
prize has awaited the fortunate one who should make the
critical experiment, which in itself at times has been one of
little difficulty. Thus in 1855 Angstrom, and in 1859 Bal-
four Stewart by their experiments came very close to the
true solution of the problem.
In 1859, Kirchhoff showed ] for the first time that in order
that sodium should be in a condition to absorb from Uie
light of other sources it must itself be at a cooler tempera-
ture. " Fraunhofer has remarked that in the spectrum of a
candle flame two bright lines appear which coincide with the
two dark lines D of the solar spectrum. These bright lines
can be easily intensified in a flame into which some common
salt is put. I formed a solar spectrum by projection and I
allowed the solar rays thus formed to pass through a strong
salt flame before falling on the slit. If the sunlight were
sufficiently subdued, then in place of the two dark lines D
two bright lines appeared ; if the intensity increased beyond
a certain amount then the two dark D lines showed in much
greater intensity than without the presence of the salt flame.
The spectrum of the Drummond light contains as a rule the
two bright sodium lines if the illuminating spot of the cal-
cium cylinder has not long since passed the glowing point;
if the cylinder remains undisturbed then these lines become
weaker and finally completely vanish. If they have dis-
appeared or are faintly visible, an alcohol flame into which
cooking salt has been placed and which is brought between
the calcium cylinder and the slit, causes two dark lines of
exceptional blackness and sharpness, which in that respect
agree with the lines D of the solar spectrum, to show them-
selves in their place. In this manner the D lines of the solar
1 For complete details see Kayser, Handbuch der Spectroscopie, Vol. T, p. 81,
THE SPECTROSCOPE 95
spectrum are artificially produced in a spectrum in which
they are naturally not present. I conclude from these ob-
servations that colored flames, in the spectra of which bright
sharp lines are found, so weaken rays of the color of these
lines when such rays pass through the flames, that in place
of the bright lines, dark ones appear just as soon as there is
brought behind the flame a source of light of sufficient in-
tensity in the spectrum of which these lines are otherwise
lacking. I conclude further that the dark lines of the solar
spectrum, which do not find their origin in the earth's atmos-
phere, are caused in the glowing solar atmosphere by the
action of those substances which in the spectrum of a flame
produced bright lines at the same place. We thus assume
that the bright lines coinciding with D in the spectrum of
a flame always arise from sodium contained in it; the dark
D lines in the solar spectrum therefore allows us to conclude
that sodium is found in the atmosphere of the sun. ... In
order that the D lines should come out dark in the spectrum
of the Drummond light it is necessary to use a salt flame
of lower temperature."
In these experiments, the salt flame was kept constant
the intensity of the sunlight being weakened or strength-
ened at leisure. 1$ other words, this may be expressed by
saying that the Fraunhofer lines in the spectrum of the sun
are dark only in contrast with the more brilliant background
of the sun itself. If this dazzling surface could be removed,
and the comparatively dark lines of the solar spectrum could
then be viewed against a background still darker, then by
contrast the spectrum lines would appear as bright lines on
a dark background where formerly they had existed as dark
lines on a bright background. This change in the sun's
spectrum, as we shall see later, takes place at the time of
a total eclipse of the sun. The student of spectroscopy will
save himself needless worry if he will remember that bright
and dark are always to be considered as relative terms only.
A spectrum of bright lines on a dark background is said
to be a bright-line, or an emission spectrum. On the other
hand, a spectrum of dark lines on a bright background is
called a dark-line, or an absorption spectrum. If a chemi-
96 ECLIPSES OF THE SUN
cal element is heated to the point of vaporization, its spec-
trum consists of a bright-line spectrum. Sodium gives a
very simple spectrum, consisting mainly of two very strong
lines in the yellow part of the spectrum, the well-known D
lines. If pure metallic sodium alone is used, the spectrum
consists of these D lines. If the sodium is in chemical com-
bination with chlorine, and the sodium chloride, or common
salt, is heated to incandescence, the same D-lines due to
sodium are shown in the bright-line spectrum. Or if any
other compound of sodium is heated, the same D-lines re-
sult. The manner of the heating is of no consequence; a
pinch of common cooking salt may be placed on the wick of
an alcohol flame, a paper soaked in a saline solution may be
placed about the burner of a Bunsen lamp, or a grain of
salt may be put on the carbon of the electric arc or on one
of the poles of an electric spark — the lines of sodium will
always appear, the color of the lines will be exactly the
same, and the wave-lengths of the lines will be unaltered
no matter what the chemical compound in which the sodium
is found or the manner of heating that salt to incandescence.
Since the total light of the sodium consists mainly of two
lines in the yellow, then when sodium is burning,, it will
give off yellow light only and the color of the flame will
appear yellow to the eye.
If another element like lithium is examined, whether pure
lithium or lithium in compound with some other element or
elements, it will give its own peculiar spectrum of bright
lines, and these bright lines will be found not to coincide
with the D lines due to sodium. Since lithium burns with a
red light, the prominent lines in its spectrum will be found
at the red end of the spectrum. Some metals like sodium
show a very simple spectrum, with very few lines; other
metals show more lines, the greatest number of lines appear-
ing for any one element being due to the presence of iron.
It makes no difference how the iron is heated to incandes-
cence, it makes no difference whether the iron is a piece of
scrap or of polished steel, the spectrum will consist of
thousands of bright lines in all the colors of the spectrum.
Each of these many thousands of lines has its own particular
THE SPECTROSCOPE 97
wave-length. It is the business of the spectroscopist to find
the value of the wave-length of each and every line. Some
of the lines are faint, some strong, some are narrow, some
broader, some are very sharp, others more fuzzy in appear-
ance, but no matter what the quality of the iron or how
vaporized, the spectrum is the same with lines of practically
identical wave-lengths. Although there exist a great many
chemical elements, the spectrum of each of which consists
of many lines, while others of the elements have even thou-
sands of lines in their spectra, it may almost be said that
no line in any one spectrum coincides precisely with a line
in any other spectrum. If, therefore, it is possible to de-
termine the exact wave-length of a line in a spectrum,
though the chemical origin of this line may be unknown,
we shall have a ready means of identifying the elemental
source of this line.
The principles upon which spectrum analysis depends are
found in Young's General Astronomy, page 213, as follows:
1. A continuous spectrum is given by every incandescent
body, the molecules of which so interfere with each other
as to prevent their free, independent, luminous vibration;
that is, by bodies which are either solid or liquid, or if gase-
ous, are under high pressure.
2. The spectrum of a gaseous element, under low pressure,
is discontinuous, or in other words made up of bright lines,
these lines being characteristic, that is, the same substance
under similar conditions always gives the same set of lines,
and generally does so even under widely different conditions.
3. A gaseous substance absorbs from white light passing
through it precisely those rays of which its own spectrum
consists. The spectrum of white light which has been trans-
mitted through it then exhibits a " reversed " spectrum of
the gas; that is, one which shows dark lines instead of the
characteristic bright lines.
The third law, the great discovery of Kirchhoff, may be
stated in other words as follows: The relation between the
emissive power for each wave-length and the absorptive
power for the same wave-length at the same temperature is
identical for all bodies, and is in fact equal to the emissive
98 ECLIPSES OF THE SUN
power of an absolutely black body at the same wave-length
and temperature. We are quite familiar with a similar effect
in the realm of sound. If a voice singing or speaking sounds
a note of a certain pitch in a room where there is a piano,
one string of the piano will vibrate in unison with the voice,
the particular piano string taking its motion from the oscil-
lations of the air. Similarly, a tuning fork in vibration will
set in motion another tuning fork nearby which is tuned to
the same pitch.
The work of Kirchhoff, therefore, in connecting the emis-
sion of light with absorption gives the means of determining
the chemical composition of the sun. According to our
present ideas, the photosphere of the sun, the portion of the
sun we see, consists of gases under such very high pressure
that the molecules cannot vibrate independently; and in
consequence the spectrum of the photosphere must be con-
tinuous, a ribbon of light without breaks from red to violet.
The photosphere is surrounded by a cooler layer of gases
under low pressure, the so-called " reversing layer." If the
spectrum of these gases could be examined entirely sepa-
rated from the bright photospheric background, they would
exhibit the gaseous, or bright-line spectrum. Under ordi-
nary conditions, the light from the photosphere shines
through the cooler gases of the reversing layer, and certain
wave-lengths are there absorbed by the gases of the revers-
ing layer, so that the spectrum of the sun comes to us as a
reversed spectrum, of dark lines on a bright background;
these dark lines, however, as stated above, are dark only in
contrast with the much brighter photospheric background.
To determine the constitution of the sun, it becomes there-
fore necessary to compare the bright line spectra of the va-
rious elements with the dark line spectrum of the sun. This
comparison may be made by two different methods, either
by viewing or photographing with a suitable instrument the
spectrum of the sun and the comparison spectrum side by
side, or by an exact determination of wave-lengths in the
solar and in the comparison spectrum.
But the spectrum of the sun consists of many thousands
of lines. It is evidently quite possible, and even highly
THE SPECTROSCOPE 99
probable, that there should be very close agreement be-
tween some of the many lines in the sun and an equal num-
ber of lines in the spectrum of the element under investiga-
tion. These concurrences might be the result of pure acci-
dent. Kirchhoff investigated this possibility. A particular
line in a comparison spectrum may exactly match in position
a line in the solar spectrum. If the agreement is due en-
tirely to chance, then by the laws of probability, it is equally
probable that the line in the spectrum under consideration
may or may not match a line in the sun's spectrum, or speak-
ing mathematically the chance of an exact match taking
place fortuitously is one out of two. If two lines agree in
each spectrum, then the possibility of this happening by
chance is but one out of four. Kirchhoff found sixty lines
of iron to agree with sixty lines in the sun. The chance that
this coincidence of all sixty lines is purely accidental is ex-
pressed by the number ^ raised to the sixtieth power. At
the present time over two thousand lines due to iron have
been identified in the solar spectrum. If the coincidence of
this large number of lines were the result of pure accident
it would represent a chance of one in 2 raised to the 2Oooth
power. This number is about equivalent to 100 followed by
no less than 600 ciphers! (If one has nothing better to do,
one might take a large piece of paper and put down the num-
ber one and follow it by six hundred and two zeros. Then
one could divide it off into millions, billions, trillions, etc.,
and invent a name for this huge number ! ) The chance that
the lines of iron and the Fraunhofer lines in the sun should
agree in position entirely by accident is therefore infinitesi-
mally small. But when in addition, we compare the appear-
ance of the lines in the two spectra, and find that a strong
line in the spectrum of the sun is matched by a strong line
in the spectrum of iron, and a weak Fraunhofer line is
matched by a weak iron line, then we see the utter impossi-
bility of the coincidences being the result of mere chance.
What is true of iron is equally true of the other elements
investigated. It accordingly seems perfectly certain that
we are able to ascertain the chemical constitution of the sun
by means of the spectroscope even though we are looking
100 ECLIPSES OF THE SUN
at the sun across a space of ninety-three millions of
miles.
Astrophysics thus being placed on a very firm foundation,
the infant science was immediately recognized throughout
the scientific world to be of the very greatest importance to
physicists, chemists and astronomers. But in spite of the
almost universal recognition, there were a few doubting
Thomases. In Chambers's very excellent Descriptive As-
tronomy, edition of 1867, page 27, is found the following:
" Spectrum analysis has taken a start within the last two or
three years, chiefly owing to the assertions made that it
enables us to ascertain something about the physical condi-
tion of the sun. The subject is too purely a physical one,
and also in too infantine a state to require notices in these
pages at present, though the time may come/'
It is remarkable to read the early history of spectroscopy
and learn of the great opposition of certain scientists to
the acceptance of Kirchhoff's proof; and it was but
natural that there should be many claims to priority.
By 1867, however, Pritchard of Oxford summarized the
general feeling of the scientific world in the following words :
" It may safely be asserted of Foucault in 1849, of Stokes in
1850, of Angstrom in 1855, and of Balfour Stewart in 1859,
that each of them was in possession of an enunciated truth,
which, had they traced to their natural and inevitable con-
sequences, must have led to that grand generalization which
will immortalize the name of Kirchhoff, and which forms
one of the happiest and most remarkable discoveries of
modern times/7
With the trail so surely blazed, the path pointed out the
direction of the researches to be taken by Kirchhoff's suc-
cessors. The quest had a two-fold interest, for not only
did the new method serve as an infallible chemical test of
terrestrial substances, but it gave also a ready means of
determining the constitution of the sun and also of the more
distant suns, the stars. Physicists, astronomers and chem-
ists vied with each other in pushing forward the researches
as rapidly and thoroughly as possible, and opticians and
instrument makers came to the assistance of the scientists
THE SPECTROSCOPE 101
by furnishing improved forms of apparatus. It was mani-
festly necessary to investigate the solar spectrum and the
spectra of the various chemical elements. These investiga-
tions had necessarily to be carried out with the spectra,
produced on as large a scale as possible, and the measure-
ments of the positions of the lines required the very highest
degree of precision attainable. To denote the position of a
line, some more accurate method was necessary than that of
placing it in the red or blue of the spectrum. Fraunhofer
and also Kirchhoff used a rather arbitrary scale. Newton
proved that a difference in color meant a difference in re-
frangibility. Fraunhofer went a step further and demon-
strated that a difference in color meant a difference in the
length of the wave causing the light. Since the time of
Thomas Young, 1802, it has been known that light is a
wave phenomenon, the waves, somewhat similar to water
waves, moving transversely to the direction of motion.
The length of the wave from crest to crest, or from trough
to trough, is known as the wave-length, and this length
might be measured in fractions of an inch, or foot, or meter.
All scientists, whether they live in America or in Germany,
or whether they speak English, Japanese or Russian, now
use the meter as the unit for measuring the wave-length
of light. A meter divided into ten thousand million parts,
or 10 10 parts, is called a " tenth-meter." This very small
distance is known as the " Angstrom Unit," or more simply
as the " Angstrom," and it is the unit for measuring wave-
lengths. The position of a line is known by its wave-length,
and the more precise the investigation the more accurately
do we need to know this quantity. The K-line in the solar
spectrum has a wave-length according to Rowland of 3933.-
826. This is printed either as X 3933.826, or 3933.826 A.
(We shall adopt the latter notation.)
Knowing the wave-length of light of a certain color, it
is a very simple matter to calculate the number of waves
that enter into the eye in a single second of time. All that
is required is to know the velocity at which light travels.
It is now known that light of all colors, whether red, blue or
violet, travels at the same rate of speed, viz., the almost
102 ECLIPSES OF THE SUN
incredible velocity of 186,300 miles, or in round numbers
300,000 kilometers per second. To simplify the calculation,
suppose the light is violet, of wave-length 4000 A. The
length of these waves from crest to crest is 4000x10"'°,
which is 4.io~7 meters (i.e. 4 divided by ten million),
300,000 kilometers per second is 300,000,000 meters 01
3.io8 meters per second. If therefore we divide the dis-
tance that light travels in one second by the wave-length ,
we will find the number of waves. For light of 4000 A,
seven hundred and fifty millions of millions (750,000,000,-
000,000) of waves enter into the eye in one second of time.
If the light under consideration is red instead of violet, in-
asmuch as the wave-length of the red is longer than that
of the violet, fewer red waves will consequently enter into
the eye in a given time. These tiny waves impinge on the
retina of the eye, creating motions which when telegraphed
to the brain cause the sensation of violet or red light. The
mechanism by means of which the minute motions produced
in the eye by light waves cause the sensation of light has
never been completely discovered. Professor John Joly in
Philosophical Magazine, 42, 289, 1921, gives a very plaus-
ible explanation based on the quantum theory. He as-
sumes that the origin of vision and color perception is to
be sought in the liberation of electrons under light stimulus
within a photoelectric substance or substances existing in
the retina. In the case of the rods, rhodopsin, being such
a photosensitive substance, acts as the basis of vision, and
it is assumed that the same substance in the cones is re-
sponsible for the color vision. The sensitivity of the eye
to faint light is extraordinary. Henri and des Baucels have
found that the retina is sensitive to a minute amount of
light 'energy which, when expressed in physical units,
amounts to 5xio~12 erg. The quantum for green light is
4xio~12 erg, and hence it is assumed that one quantum, by
the liberation of a single electron, is sufficient to cause the
sensation of light. The action taking place in the eye
seems to be quite analogous to that occurring in the light-
sensitive film of the photographic plate, the latent image
being caused by the movement of electrons.
THE SPECTROSCOPE 103
The new method of research in the hands of Kirchhoff
soon resulted (1861) in the discovery of two new chemical
elements, caesium and rubidium. The spectroscope manu-
factured by Steinheil consisted of four prisms, three of 45°
and one of 60°. The collimator and telescope had aper-
tures of one and a half inches, with a focal length of eight
een inches. One half of the slit was covered by a totally
reflecting prism by the aid of which two spectra could be
examined side by side and direct comparisons made. Un-
fortunately, it was necessary to set to minimum deviation
by hand, a very slow process, and as a consequence Kirch-
hoff shifted the prisms only occasionally, a procedure which
greatly impaired his measures. He investigated the spectra
of a large number of elements, and also measured the posi-
tions of the lines in the solar spectrum from A to G, though
at first he only published the region from D to F, since his
eyes could not stand the strain of such continuous measure-
ment and failed him. His measures being referred to an
arbitrary scale, it was necessary to reduce them to wave-
lengths, and this was done later by Airy, Gibbs, Watts and
Hasselberg.
It has been said with great verity that these were splen-
did days for the laboratory scientist for the reason that
each and every observation, no matter how trivial, was
almost certain to prove to be a new discovery. Without
attempting to trace the details in the further development
of the new science, we shall try to give only the more im-
portant names in the honor roll of fame: Pliicker, Hittorf,
Crookes, Miller, Huggins, Rutherfurd, Angstrom, Secchi,
Janssen, Lockyer, Young, Vogel, Cornu, Liveing and De-
war. In the twenty years following Kirchhoff, no less than
ten new elements were found by the aid of the spectroscope.
Naturally many mistakes were made and wrong conclusions
drawn. The chief cause of the mistakes was the presence
of many impurities in the elements investigated and hasty
identification of lines through insufficient accuracy in wave-
length determinations.
A new epoch in the history of spectrum analysis was in-
augurated in 1882 by the work of Henry A. Rowland, whose
104 ECLIPSES OF THE SUN
gratings/ plane and concave, permitted a hundred-fold in-
crease in accuracy in the determination of wave-lengths.
Rowland's success came through the construction of a long
screw, almost free from errors, mounted in a dividing engine
in such a manner that it was practically possible to elimi-
nate the few remaining errors of the screw. The precision
that must be attained in the manufacture of gratings of
the very first quality may be stated as one requiring that
the average line of the grating shall be correctly placed to
about one one-thousandth part of the grating space. This,
for the finest Rowland gratings of 20,000 lines per inch,
means that each line ruled on the grating must not on the
average differ from its true position by so much as the
minute quantity of one twenty-millionth part of an inch!
The highest degree of success was attained by ruling with
a diamond point on speculum metal, the incident light thus
being reflected from the grating surface. Gratings were
ruled both on plane and on spherically concave surfaces.
The largest Rowland gratings were six inches in diameter,
and ordinarily the greatest radius of curvature for the con-
cave gratings was twenty-one and a half feet. The concave
gratings reduced the spectroscope to the greatest simplicity
of slit, grating and photographic plate. No lenses of any
kind were necessary to bring the light to a focus, and hence
all aberrations introduced by the lenses and all absorption
of light by the glass were eliminated, with a consequent
great increase in the extent of the ultra-violet region. The
concave grating is generally used in the laboratory with the
" Rowland mounting " possessing two tracks for carrying
grating and photographic plate perpendicular to each other,
the slit being placed accurately at the intersection of the two
tracks. If grating and photographic plate are each perpen-
dicular to the arm joining the two, there then results a " nor-
mal " spectrum, or one in which the distances between the
lines are directly proportional to the wave-length.
Compared with prisms, concave gratings have the follow-
ing advantages: (i), An enormous increase in dispersion,
definition and resolving power. To equal Rowland's grat-
1 See Kayser, Handbuch der Spectroscopie, Vol. i, 121 and 397. See also
article Screw, Encyclopaedia Britannica.
THE SPECTROSCOPE 105
ings in these respects, in the neighborhood of the D lines,
it would be necessary to have prisms of the very first quality
added to prisms with a total prism base of fifty inches of
glass. (2), The spectrum produced by the grating is
" normal " and not " prismatic/' thus permitting wave-
lengths to be determined with much greater facility
and much greater accuracy. (3), A much greater extent
of the ultra-violet is secured. (4), The astigmatism
of the grating increases the length of the lines, and this
principle, combined with the overlapping of images from
the spectra of different orders, not only permits a great
increase in accuracy, but also a more ready determina-
tion of absolute wave-lengths. The grating, however,
has some disadvantages, chief among which is that the in-
cident light is divided between the central beam and many
different orders of spectra, with the consequent result that
there is a great weakening of light in any one spectrum.
In the investigation of objects giving little light, like the
stars, prisms are almost universally used. In most labor-
atory researches and in work on the sun, gratings are gen-
erally used. Although Rowland's method of grinding the
screw was not a secret, it is only in comparatively recent
times that the excellence of the Rowland gratings has been
equalled by others, by Michelson of the University of
Chicago, by the Mount Wilson Observatory, and by Lyle
and Merfield of Australia.
Coincident with Rowland's manufacture of the grating
came the discovery of the modern photographic dry plate
with its great increase in sensitiveness. The two most im-
portant pieces of work in this new epoch of discovery in
astrophysics have been Rowland's great map of the solar
spectrum, and the publication in the Astrophysical Journal
of the wave-lengths of the lines in the solar spectrum with
the tracing of as many lines as possible to their chemical
origins. The more prominent names connected with inves-
tigations in the laboratory and on the sun itself are: Row-
land, Jewell, Kayser, Runge, Paschen, Rydberg, Eder and
Valenta, Exner and Haschek, Langley, Abbot, Schumann,
Lyman, Humphreys, Zeeman, Hale, Deslandres, St. John,
King, Meggers, Russell, Saunders and Fowler.
CHAPTER VII
THE SURFACE OF THE SUN
AT THE time of the Greeks how simple it was to
explain all of the known facts about the sun! No
supposition was necessary other than that the sun
was a ball of fire. It was not at all known what fire was
beyond the fact that heat was manifested, — but this de-
ficiency in knowledge seemed of little importance. As a
further illustration of the elemental beliefs of primitive
peoples there might be given the following legend regard-
ing the origin and motion of the sun which is found among
the Yuki tribe of American Indians.1
" In the beginning there was no land; all was water.
Darkness prevailed everywhere. Over this chaos of dark
water hovered On-coye-to who appeared in the form
of a beautiful white feather, hence the love of the Yukis
for feathers. In time the spirit became weary of his inces-
sant flight through the murky space and lighted down upon
the face of the water. Where he came in contact there was
a whirlpool that spun his body round and round. So rapid
became the motion that a heavy foam gathered about him.
This became more dense and expanded in width and length.
It gathered up the passing bubbles until it was a huge float-
ing island. On the bosom of this rested the snowy form
of On-coye-to. As he lay upon this island for an almost
endless flight through the dark space, the idea of a perma-
nent resting place came into his mind. So he made the land
and divided it from the water. From the form of a feather
he assumed that of a man, and rested upon the land. Still
there was no light, and his spirit was troubled. On-coye-
to saw afar off in the firmament a star, ' po-ko-lil-ey/ and
resolved to visit it and learn how it emitted its sparkling
1 Smithsonian National Mus. Report, 326, 1902.
106
THE SURFACE OF THE SUN 107
light. After a long journey, he arrived there and found a
large and beautifully lighted world, inhabited by a numer-
ous, hospitable people. Still, he saw not whence came the
light. He was allowed free access to all habitations save
one, the ' sweat house.7 This was guarded night and day,
and was accessible only to sick persons. Finally a great
hunt was planned, and as time drew near all was prepared
for the occasion. But On-coye-to feigned sickness that
he might investigate the sweat house. When the morning
arrived for the hunt he was too ill to acompany the hunters.
A council was held to determine whether this stranger
should be admitted to the sweat house, which is even now
a sacred place with the Yuki tribe, and it was decided to
give him the benefit of this house of medicine. A few old
men were left to administer to his wants and to see that
all went well. As he entered the sweat house he was almost
blinded by the light that flashed upon him, but as he became
accustomed to it, he looked around him and discovered its
origin. Hanging high over his head in several baskets were
as many beautiful suns. Having found the fountain of
light he waited patiently until the old men were all asleep,
then climbing cautiously to what seemed the brightest of
the suns, he seized it, slipped from the sweat house and
made his way rapidly towards his own world. He was
hotly pursued by the indignant warriors, but he arrived
safely after many adventures. He hung the sun in its
basket in the far east, then surveyed it. It did not light up
to suit him, and he moved it a little higher. Still it did
not suit him, so he continued to move it, on and on. And
he is moving it to the present day." Thus the Indian ac-
counts for the moving of the sun, and thinks not that the
earth moves.
As knowledge has gradually been accumulated regard-
ing our central luminary, and as information is secured
about the laws, physical and chemical, to which the sun is
subjected, the more and more difficult has become the prob-
lem of finding an explanation adequate to satisfy all of the
facts. And now in the twentieth century, it is discovered that
each and every one of the countless billions of chemical atoms
108 ECLIPSES OF THE SUN
that form the sun is a solar system in miniature, with the
result that solar theories must be revised and hypotheses
revamped in order to take account of electrons and protons.
The sun is a typical star, but owing to its proximity it may
be examined in detail, its surface, the spots that are of
such great interest, the reversing layer, the chromosphere
and the far-flung corona. The stars are so far distant that
they appear practically as points of light even in our larg-
est and best telescopes, and consequently little more can
be learned of them than what depends on their surface
brightness. On account of the closeness of the sun, its sur-
face may be covered up by the interposing moon, and as
a result, envelopes of chromosphere and corona are shown.
Although similar envelopes unquestionably exist on the stars,
they can never be made manifest to us. By the study of
eclipses a wealth of knowledge is acquired concerning the
sun, but to gain an adequate idea of what additional in-
formation is thus secured, it will be well to give a brief
resume of the salient points of solar research.
Compared with terrestrial standards, the distance to the
sun is colossal and its diameter enormous. The problem of
finding the distance of the sun is one of the most important
as well as one of the most difficult in the whole of the
science of astronomy. The importance lies in the fact that
the distance from earth to sun is the unit for measuring all
celestial distances, except that to the moon, the solar dis-
tance being called the astronomical unit. The yard, or the
meter, is the standard of length for all measurements in
civilized countries. The " standard yard/' or the " standard
meter," is a bar of certain composition, of definite
shape, whose length can be determined by precise measure-
ments at known temperatures. The standards are kept in
London or Paris, but various prototypes are widely dis-
tributed. Certain advantages would result from the em-
ployment of but one standard of length, the meter, which
is now almost exclusively used in all scientific measure-
ments. The reason is not because the length of the meter
is more valuable than that of the yard, but rather that the
decimal system employed with the meter is simpler than the
THE SUN IN THE LIGHT OF GLOWING CALCIUM VAPOR
Two spectroheliograms showing unusual solar activity. Yerkes Observatory.
X
I
fO
&
X
Ctf
3
THE SURFACE OF THE SUN 109
more cumbrous division of the yard. At the end of the
eighteenth century the meter was designed by the French
to represent the ten-millionth part of the quadrant of the
earth, so that its circumference should be exactly forty
million meters. At that time, however, the size of the earth
was known with little accuracy. If, therefore, the meter
were actually to represent a certain definite and fixed
fraction of the earth's size, it would be impossible to use
it as a standard for the reason that its length would change
with every revision of the earth's measurement as new
geodetic operations were carried out, and would alter with
any variations in the earth itself, which changes geodesy
and geology tell us are continually taking place.
By means of the careful researches of mathematical as-
tronomy stretching back over hundreds, and even thousands
of years, an accurate plot can be drawn to scale of the
orbits of all the planets and satellites of the solar system.
The periods of each have been determined accurately, the
shapes of their orbits, their inclinations to the ecliptic, etc.
All of the planetary distances have been found by the as-
tronomer by referring them to the astronomical unit, the
distance from earth to sun. To know the complete scale
of the astronomical plan in miles, it is necessary to know
accurately at least one distance, either that of the earth to
the sun, or to one of the planets. Manifestly, the nearer
the planet, the more accurately can the distance from the
earth be determined. Celestial distances are usually found
by the methods of the surveyor who wishes to ascertain the
width of a river which he cannot traverse. A base-line is
measured with as great precision as possible, and from each
end of this base-line, angles are measured to some well-
defined object on the other side of the river. A civil
engineer would be in a quandary if a base-line of only three
inches in length was available for measurement on his side
of the river and it was necessary to determine, with the pre-
cision necessary for planning a cantilever bridge, the dis-
tance across the river. This is exactly the problem that con-
fronts the astronomer in attempting to measure directly the
distance of the sun, since the only base-line available is a
110 ECLIPSES OF THE SUN
chord of the earth. Instead of expressing the distance to
the sun in miles or kilometers, the astronomer knows this
unit ordinarily by means of the small angle at the sun sub-
tended by the earth's radius, and this angle is called the
" solar parallax." As there are many different terrestrial
radii, the earth not being a sphere, the equatorial radius is
assumed. The astronomical unit when expressed in miles
must therefore be subject, not only to all of the errors of the
astronomer in carrying out his measurements, but also to
those due to the work of the geodesist in determining the
shape and size of the earth and in referring these measures
to the standard yard or meter.
Although this is not the place to discuss the details of
the determination of the solar parallax, brief references
will be made to the more promising methods. It is im-
possible to secure the distance to the sun by direct measures
and recourse must be had to the determination of this dis-
tance indirectly by the measurement of other distances in
the solar system. Great were the expectations aroused by
the transits of Venus in 1761 and 1769, and again in 1874
and 1882. By the year 1882, the dry plate had been
invented and it was anticipated that photography would
revolutionize our knowledge of the fundamental unit. But
alas! the " black drop," and the atmosphere of Venus
caused the observations to be practically a dismal failure.
Another attempt by this method will not be possible until
the year 2004, the year of the next transit of Venus.
Great advances in precision were made by Gill in his
measures of Mars and some of the minor planets by means
of the heliometer. The discovery in 1898 of the planetoid
Eros, which at perihelion comes closer to the earth even
than Mars, gave to the astronomer a splendid opportunity
of determining the solar parallax for the reason that
photography could be applied to the problem. Although
much was accomplished at the opposition of 1900-01, when
Eros at its nearest approach was 30,000,000 miles from
the earth, more will be effected from observations made in
1931 when the planet was within half this distance.
Methods based on the law of gravitation furnish the
THE SURFACE OF THE SUN 111
means of determining the distance of the sun. E. W.
Brown's magnificent investigation of the motion of the
moon gives 8."778 as the value of the solar parallax. Other
gravitational methods furnish the mean value of 8. "780.
The velocity of light can be utilized in three different
manners: (a) by the constant of aberration; (b) by the
eclipse of Jupiter's satellites; and (c) by the velocity of
the earth in its orbit by utilizing the Doppler principle of
measuring the motion in the line of sight from spectra of
stars or of planets. St. John and Nicholson at Mount
Wilson, using large dispersion on the spectrum of Venus,
find the solar parallax of 8."8i3. (Publications A. S. P.,
32, 332, 1920.) They give also the values by other ob-
servers.
A summary of the best values * of the solar parallax (see
Abbot, The Sun} are:
From heliometer work on minor planets 8."8o7
From the Eros campaign 8. 807
From all gravitational methods 8. 780
From the eclipses of Jupiter's satellites 8. 799
From the velocity of light and constant of aberration (2o"47) 8. 803
The present accepted value of the solar parallax is 8. "80,
corresponding to a distance of the sun of 92,900,000 miles,
with an uncertainty of about 50,000 miles, or an error of
about one part in 2000. To walk the distance to the sun at
four miles per hour and ten hours per day, 68 years would
be necessary for the first million miles, or 6300 years for the
total distance. An express train going at sixty miles per
hour would take 175 years, while light which travels at the
great speed of 186,300 miles per second takes 499 seconds.
If we know the angular diameter of the sun we can readily
find its linear diameter of 865,000 miles, which is 109.5
times the diameter of the earth. Perhaps the best method
of visualizing the huge size of the sun is to compare it with
the distance to the moon, which in round numbers is 239,000
miles. If the earth could be placed at the center of the sun
and the moon were allowed to revolve in her orbit about the
1 See also, Newcomb-Engelmann, Populdre Astronomic.
112 ECLIPSES OF THE SUN
earth there would be plenty of room inside the sun for the
moon to make her monthly journey, since the moon would
be little more than half way out to the sun's surface. A
spot on the sun having a diameter of 8000 miles, or the size
of the earth, would be regarded as fairly small and a tele-
scope would be needed to detect it. Dividing the linear
diameter of 865,000 miles by the angular diameter 1920",
it is found that i" at the sun corresponds to 450 miles, which
is equivalent to 725 kilometers. These are useful quantities
to remember, especially when considering the subject of
eclipses.
Since the surfaces of spheres are proportional to the
squares, and the volumes proportional to the cubes of their
radii, it is readily found, by squaring and cubing 109.5, that
the surface of the sun is 12,000 times that of the earth while
its volume is 1,300,000 times the volume of the earth.
The mass of the sun is 332,000 times the mass of the
earth, a relation that can be determined by comparing the
distance a body falls towards the earth in a second of time
in obedience to the law of gravitation with the distance that
the earth falls towards the sun in the same interval of time
and also in obedience to the law of gravitation. In one
second the earth travels eighteen and a half miles of her
annual journey about the sun, but as this is accomplished
without friction we feel no sensation from this rapid flight.
In going eighteen and a half miles, the earth deviates but
one-ninth of an inch from a straight line. As the earth
weighs six thousands of millions of millions of millions of
tons, which is 6 x io21 tons, the sun weighs 2 x id27 tons.
This is such a colossal number that it makes little differ-
ence in our comprehension of it whether it is the American
ton of 2000 pounds, or the English ton of 2240 pounds, or
the long ton that we pay for when we buy coal or the short
ton that is furnished by the dealer when the coal is placed
in the bin.
Knowing the mass and volume of the sun compared with
that of the earth, we find the density of the sun is 0.255 times
that of the earth, or about 1.4 times the density of water.
The attraction of gravity at the surface of the sun is 27.6
THE SURFACE OF THE SUN 113
times that which it is at the earth's surface, so that a man
weighing 150 pounds would weigh over two tons if trans-
ported to the sun, and his feet would be so heavy, even if
the footing were secure, that he would not have strength
sufficient to lift them.
The small density of the sun, being only one-quarter that
of the earth, is one of the most significant bits of knowledge
connected with the study of the sun. All theories of evolu-
tion point to the fact that the sun and earth are made of the
same materials. Indeed Rowland was wont to say that if
the earth were heated to incandescence it would give a spec-
trum identical with that of the sun. The low density makes
it evident that the sun cannot be a solid like the earth, nor
indeed can it be a liquid, and it must therefore be a gas, the
terrific heat of the sun being sufficient to vaporize all known
terrestrial substances. The condition of immense heat and
enormous pressure caused by gravitation on the sun cannot
be even distantly approximated in our laboratory experi-
ments. Unquestionably the sun does not obey the labora-
tory laws to which such perfect gases as oxygen, nitrogen
and hydrogen are subjected. For the complete explanation
of solar phenomena it is necessary to proceed from known
conditions to those impossible to duplicate in the laboratory
by the difficult and uncertain methods of extrapolation.
The steps of scientific development must accordingly be
carefully planned and wisely thought out, or else the path
of truth may lead away from the goal of progress rather
than towards it.
The spherical portion of the sun that we see is called the
photosphere. According to Young, The Sun, page 109, the
" photosphere is a sheet of self-luminous cloud; possibly like
the clouds of our own atmosphere, with the exception that
the droplets of water which constitute terrestrial clouds are
replaced in the sun by drops of molten metal, and that the
solar atmosphere in which they float is the flame of a burn-
ing fiery furnace, raging with a fury and an intensity beyond
all human conception." This notion of the photosphere
propounded a third of a century ago has been greatly
modified by modern research. By means of convection cur-
114 ECLIPSES OF THE SUN
rents, gases from the interior of the sun are brought to the
surface. There set free from the enormous internal pressure
and meeting the cooler temperatures of outside space the
gases expand. The pent-up energy being suddenly released,
there is a rapid fall of temperature, and according to Young's
theory, small solid or liquid particles are formed. By gravity
these sink back to the solar furnace, there to be changed
again to the gaseous form. The rising and falling back
again to the solar surface of the " drops of molten metal "
cause a continued rain of meteors on the sun's surface.
Two decades ago these " drops " played a very important
role in many solar theories, but particularly in that regard-
ing radiation pressure (Chapter XXI). The temperature of
the photosphere " seems to be certainly in excess of 6000°
absolute, Centigrade. There are no substances, so far as
known, which can exist except as vapors in these conditions.
Hence, it seems reasonable to suppose that the sun contains
no solids or liquids, unless perhaps in sun-spots, and that its
substance, as we see it, and within the layers we see, is
altogether gaseous." l
In carrying out investigations regarding the sun's surface
there are two points of view that astronomers should never
forget. The first is that the photosphere can be viewed or
photographed only through the superposed layers of the
solar atmosphere. The photospheric spectrum which must
be continuous from red to violet without breaks, can never
be obtained. The second point to be remembered may be
visualized by analogy with the earth. At an elevation of
three and a half miles above sea-level, atmospheric air has
its density cut in half. But gravity at the sun is nearly
twenty-eight times its value on the surface of the earth.
Allowance being made for the hundred-fold diameter of the
sun when compared with that of the earth, it is seen that
within ten or twelve miles of the sun's surface there would
exist one-half of the total material in the sun's various layers
of gases were it not for the enormous temperature of the
sun. The decrease in pressure upwards from the sun's
surface is consequently extremely rapid. The importance of
1 Abbot, The Sun, p. 243, 1911.
THE SURFACE OF THE SUN 115
this point cannot be over-emphasized, since most investi-
gators seem to forget that the change in pressure must take
place at such a very accelerated rate.
The sun may be viewed with a telescope by the use of
solar eye-pieces of various kinds; or by projecting the sun
on a screen, the solar image being brought to a focus by
slightly drawing out the telescopic ocular. If the telescope
is of moderate size, and the definition good, the surface of
the sun looks like " rough drawing paper, or like curdled
milk seen from a little distance." The use of a large tele-
scope and of moments of exquisite seeing that come but
rarely reveal an infinite wealth of detail. The best drawings
of the sun are by Langley who describes the surface of the
sun as that of " snow-flakes sprinkled sparsely over a grayish
cloth." Before the application of photography great was
the diversity of opinion concerning the ultimate nature of
the light-giving particles of the sun. We learned then of
" rice grains," of " willow leaves," of " thatch-straw " and
of " granules "; and the various camps in favor of one or
other designation were about equally divided.
Photographs of the sun may be obtained by the method
known to the great host of camera users, that of the focal-
plane shutter. This consists essentially of a slit of variable
size that can be driven by means of a spring across in front
of and close to the photographic plate. By regulating the
width of the slit opening and the tension of the spring,
exposures may be varied at will. The exposures necessary
to obtain good photographs of the sun depend mainly
on the size of the telescope, the sensitivity of the
photographic plate and the method of development. The
modern dry plate of great rapidity does not permit the se-
curing of solar photographs of the greatest detail. With the
sun, where there is such an abundance of light, it is unneces^
sary to make use of the fastest plates which are primarily fot
the purpose of decreasing the exposures. Better results may
be secured by the use of finer grained, slower and more con-
trasty plates. As a matter of fact, the modern dry plate
cannot furnish the exquisite definition secured by the old
wet-plate process, and for this reason the superb solar photo-
116 ECLIPSES OF THE SUN
graphs of Janssen at Meudon are unsurpassed even at the
present day.
The best conditions for observing the sun are found not
more than one per cent of the time spent at the telescope.
Under these maximum conditions, the skilled eye can see
finer details than can be portrayed on the photographic
plate. According to Langley, the " snow-flakes " are in the
neighborhood of 50 to 100 miles in diameter, and these in
turn are made of flakes similar in form, but of one-fifth the
dimensions. These small particles cover but one-fifth of
the surface but radiate three-quarters of the total solar light,
and hence they must shine with an intensity twenty-fold
that of the darker portions of the sun.
The most noticeable feature of photographs showing the
whole solar disk is the darkening that is found near the edge
of the sun. This darkening is caused by the absorption by
the sun's atmosphere, a beam from the limb of the sun pass-
ing through a greater layer than one from the center. The
sun or moon when rising or setting looks reddish to us on
account of the absorption of the blue and violet by our
terrestrial atmosphere. In a similar manner, the solar atmos-
phere absorbs more and more of the violet end of the spec-
trum as the limb of the sun is approached, and the maximum
of radiation is displaced towards the red. A similar shifting
of the wave-length maximum is found when comparing the
spectrum of a sun-spot with that of the photosphere. Abbot
(The Sun, page 107) gives measures of the distribution of
radiation over the sun's disk from the center outwards to
the edge. If the sun could be viewed without the absorptive
effects of its own and the earth's atmospheres, the maximum
intensity in the spectrum would be shifted by an appreciable
amount to the violet, and the sun instead of appearing as
yellow in color to the eye would look bluish.
The exquisite photographs of Janssen show the solar
granulation in splendid detail, the features being sharp and
well-defined. Other parts of the same photographs are quite
smudgy in comparison, as if the solar surface were in violent
commotion. To these parts Janssen gave the name reseau
photospherique. If photographs taken in rapid succession
THE SUN'S SURFACE
" Like snowflakes sprinkled over a grayish cloth."
Photographed by Janssen at Meudon, September 9, 1883.
THE SURFACE OF THE SUN 117
are examined it is found that the smudgy and ill-defined por-
tions exist at different parts of the solar image. The
simplest and most apparent explanation seemed to be that
these changes afforded positive evidence of violent commo-
tion on the sun which certainly must exist there on account
of the very high temperature. This evident explanation,
however, seems not to be the true one. Any motion of the
atmosphere of the sun, or of the earth's atmosphere close to
or far away from the photographic plate would have the
effect of blurring the photographic image. To make a long
story short — the general opinion regarding the reseau
photospherique is that it is not a solar phenomenon at all,
but is caused by the disturbance of the air heated in the
telescopic tube by the sun's beams. The portions of the
photograph in good definition represent the true granulation
of the solar surface. Direct photographs similar to those of
Janssen have been made by Hansky of Poulkova and
Chevalier of the Zo-Se Observatory in China. Exposures
made in rapid succession give the following information re-
garding the ultimate nature of the photosphere as depicted
by photographs: (i), The solar granules have a diameter
of 400 to 1 200 miles, though at times smaller granules are
seen no more than 100 miles in diameter. (2), They are
generally circular, or elliptical in shape. (3) , They coalesce
to form larger particles. (4), These granules are the
" clouds " of Young's theory. (5), The life of one of these
clouds is very short, the majority of them last for approxi-
mately half a minute, and practically none exist longer
than a few minutes. (6), The displacements vary widely
in direction and in velocity. The movements range from
zero to thirty kilometers per second, though occasionally
higher speeds are observed. (7), The granules in fact seem
to be the summits of a fleecy structure of condensed par-
ticles. In fact, they represent l on an enormous scale a
phenomenon similar in appearance to a storm-tossed and
choppy sea when viewed aloft from an airplane.
The most prominent features of the solar surface are the
spots. Individual records of these exist as far back as the
1 Astrophysical Journal, 27, 12, 1908.
118 ECLIPSES OF THE SUN
Chinese, but their real history begins with the invention of
the telescope; and they were independently discovered by
Galileo, Fabricius and Scheiner. There is a great wealth of
scientific literature connected with the study of spots — but
here it will be possible to give only the salient features, and
a brief summary of our present knowledge, which, alas! is
far from complete. As in the study of the photosphere, the
details of the appearance of spots can be better observed
visually than by photography. A normal spot consists of
an umbra, more or less round, surrounded by a less darkened
penumbra, the structure of the constituent parts of a spot
differing much from each other and from the surface of the
photosphere. The roundish shapes of the granular photo-
sphere are changed in appearance to the straw-thatch of the
penumbral filaments which exhibit a great wealth of detail,
and these in turn transform into the smooth, black, velvet-
like appearance of the umbra. The umbra is, however, not
uniformly black but is more or less cloudy in appearance
when conditions of seeing are at the best. Generally asso-
ciated with spots are the jaculae, or bright patches on the
sun. These exist at slight elevations above the average sur-
face of the sun, and are best seen when near the edge of the
sun where the greater absorption of the sun's atmosphere
and the elevation of the faculae make them visible by con-
trast with the darker surroundings. The umbra of a spot
is dark only by contrast with the more dazzling photosphere,
yet withal it is not black, for it is more brilliant than the
electric arc. During the progress of an eclipse of the sun
a spot has been observed by Evershed to be much brighter
than the dark limb of the moon occulting it. Langley esti-
mates that the blackest spot gives 500 times as much light
as an equal area of the full moon.
Spots vary in size, from a few hundred miles to 50,000
miles in diameter in the case of the very largest spots.
Groups of spots may extend across one-sixth of the diameter
of the sun, and consequently may be visible to the naked eye
when the sun is seen through haze or near the horizon, or
when the eyes are protected by smoked glass. Spots have
usually a short life, sometimes disappearing in a day or two,
THE SURFACE OF THE SUN 119
sometimes lasting for a month or longer. The longest record
is that of the spot seen during the years 1840-41 which per-
sisted for eighteen months. Owing to the violent solar mo-
tion the changes in sun-spots are naturally very rapid, the
disintegration of spots taking place usually by the formation
of a bright " bridge " which may be shot across a spot at a
high rate of speed (compared with terrestrial motions) , of
as much as one thousand miles per hour. The elevation of
sun-spots with respect to the general photospheric level is
still being actively discussed, even after the lapse of a cen-
tury and a half since 1769, when Dr. A. Wilson of Glasgow
first propounded his well-known theory, that the fore-
shortening of the penumbral filaments as the spot neared
the sun's edge showed that the spots were saucer-like de-
pressions in the sun's general surface. Spots having been
seen which confirmed the theory while others seemed to dis-
prove it, the arguments have gone on pro and con. For a
more complete discussion, see Agnes M. Clerke, Problems in
Astrophysics. In view of the very rapid change in gravita-
tion near the surface of the sun already noted, it is alto-
gether probable that the elevation at which sun-spots exist
differs less than fifty kilometers from that of the photo-
sphere. This small allowable difference of altitude is not
sufficient to permit the saucer-like sinks needed for Wilson's
theory.
The most evident fact concerning the spots is their peri-
odicity, first discovered in 1843 by Schwabe, the average
period being 11.13 years. There are marked differences in
the length from maximum to maximum, and equally great
divergences in the intensity of the various maxima so that
it must be said that spots are very irregular in their regu-
larity. The individual periods range between 7.3 and 17.1
years as extremes. But no matter how divergent the period
is from the mean, the rise to maximum spottedness always
consumes less time than the descent to minimum. On the
average the intervals are 4.62 years and 6.51 years, respec-
tively. The sun-spot curve thus resembles the light curve
of the average variable star of long period, and also those
of the Cepheids. The importance of this fact is here
120 ECLIPSES OF THE SUN
emphasized for the reason that we have learned from the
researches of Abbot that the total radiation of the sun varies
in amount, and as a consequence the sun must be regarded
as a variable star of long period.
Various attempts have been made to examine the sun-spot
curve by the methods of harmonic analysis in order to find
any secondary periods that may underlie the main period
of 11.13 years. The most notable attempts in recent years
have been by Schuster/ Hirayama,2 Kimura,3 Michelson,4
and Larmor and Yamaga.5 Kimura and Michelson each
examined 160 years of sun-spot records from 1750 to 1910,
and although the material for examination was the same, the
conclusions reached are greatly at variance. The former
decides, " The n-year period is not so conspicuous as gen-
erally considered. Although the most important of all, yet
to my surprise there are a great many periodicities lying be-
tween 8 and 12 years, most of them being of considerable
relative amplitude. " Kimura predicts the form of the sun-
spot curve up to the year 1950, the predictions giving a maxi-
mum of spots at the beginning of the year 1914, with an
intensity about equivalent to that of the maximum of
iqos-6. According to observations at Mt. Wilson, however,
Nicholson G finds that the maximum did not take place
until August, 1917, over three years later than the pre-
dicted time, while the activity was considerably greater
than at the preceding maximum. Michelson concludes
that "with the exception of the n-year period and pos-
sibly a very long period (of the order of 100 years),
the many periods found by previous investigations are illu-
sory. " Quite similar deductions are drawn by Larmor and
Yamaga who even go so far as to state that when the peri-
odic part is removed the residue of the sun-spot activity is
of a fortuitous sporadic character, not amenable to further
analysis. Various attempts have likewise been made to ex-
plain the sun-spots by means of the attractions of the
1 Phil. Trans. Roy. Soc. 206.
2 Tokyo Sugata, 3, g.
3 M. N. R. A. S., 73, 543-
4 Astro physical Journal, 38, 268.
5 Royal Soc. Proc. A., 93, 493.
0 Publ. A. S. P., Ji, 223, 1919.
THE SURFACE OF THE SUN 121
planets, particularly those of the giant of the sun's family.
But Jupiter's period is n.86 years, and even when other
periods of other planets are superimposed, no success has
followed the attempts to explain sun-spots by planetary
influences. The cause of the cycle indeed seems as much
unknown today as when a hundred years ago Schwabe first
began his systematic observations.
Spots are never found more than 45° from the equator
and seldom at the equator. A curious distribution of the
spots in latitude manifests itself during the progress of the
solar cycle. Approximately at the time of minimum, sun-
spots begin to manifest themselves in two zones, more than
30° north and south of the equator. With the lapse of time,
the spots are found closer and closer to the equator, the
sun-spot maximum taking place with the spots in zones 17°
north and south. The disturbance gradually dies out in
latitude 8° or 10°, after a lapse of 13 or 14 years from the
first outbreak. Before the final flickering out, the new cycle
has begun to manifest itself, so that near sun-spot minimum
there are found four zones of disturbance, two near the
equator, and two farther north and south.
Many serious attempts have been made to connect sun-
spots with various phenomena, solar and also terrestrial.
The correlation with the solar manifestations mainly rests
on secure ground, but with some of the earthly influences,
the connection seems rather far-fetched. If it is hotter than
the average at a certain locality in the United States, like
St. Louis, or if mayhap at the same time, Northern France is
having a cold spell, and if coincidently there is a large spot-
group on the sun, an astronomer, or usually pseudo-astrono-
mer, is always found who informs the daily press that the
sun-spot is the cause of the heat (or cold). The famines in
India, the potato crop in Ireland, the price of corn in Eng-
land, the rain- fall in the Island of Mauritius, the financial
panics of Wall Street all have been investigated by statistical
methods, and each and all have been found to pass through
periods of the same length, and to be connected with the sun-
spot period. It has many times been said that " figures never
lie." It is quite true that the figures themselves do not tell
122 ECLIPSES OF THE SUN
falsehoods, but many and varied are the interpretations that
may be placed on these figures. The president of every big
business corporation well knows that if his company shows
in two successive years the same approximate amount of
earnings, it is very easy for him to declare a substantial
dividend, or to charge certain amounts to " improvements/'
and curtail or even pass a dividend. The whole question
depends on whether he wishes to please the fifty-one percent
of the majority stock-holders (of whom he is one), or to
take advantage of the forty-nine percent (of whom he is not
one). It is quite possible, and indeed probable, that the
weather and rainfall are connected with variations of solar
activity as evidenced by sun-spots, and that other manifesta-
tions of meteorological changes are also correlated, — but to
prove the connection " is another story." The weather is
" not made on the spot/' it depends on a vast variety of
conditions and it is therefore difficult and well-nigh im-
possible to single out the solar cause from all of the possible
influences that may affect the weather. It might not be out
of place to remind all such investigators that a great variety
of periods have been found in the sun-spot cycle itself, but
that none of the subsidiary periods appear to have any
reality, no matter how firmly substantiated by figures they
seem to be. Most of the meteorological dependences seem
to be equally illusory. There are, however, many terrestrial
and many solar phenomena which have a well proven con-
nection with sun-spots. These will be given below in brief
form, though some of them will later be expanded more
fully.
Records kept at the Greenwich Observatory and extend-
ing over nearly a hundred years, show (i), that the diurnal
range of the magnetic declination, and (2), that the hori-
zontal force of the magnetism flowing through the earth,
follow the sun-spot fluctuations not only in the main n-year
period but even in the small and secondary variations. The
parallelism is so intimate that it is at once evident that if
the cause can be found of the sun-spot cycle there also will
be found the true explanation of the variation of terrestrial
magnetism. Although the records are not so complete, (3),
THE SURFACE OF THE SUN 123
aurorae and (4), magnetic storms are more abundant when
spots are numerous. The same may be said (5), of faculae,
and (6), of prominences. (7) The shape of the corona
changes with the sun-spot period; at minimum of spots there
are long equatorial extensions, and well defined polar rays.
(8) The conclusions of Koppen, Stone, Gould, Nordmann,
Newcomb, Abbot and Fowle, Arctowski and Bigelow are
that there is a change in the mean temperature of the earth,
small in size, but amounting to 0.7° between sun-spot maxi-
mum and minimum, the earth being cooler at sun-spot
maximum, which, in fact, is quite contrary to the ordinary
popular belief.
The contribution of the spectroscope regarding spots and
related phenomena will be given in a subsequent chapter.
The state of our knowledge of the angular diameter of
the sun is far from satisfactory. The accepted value of this
fundamental quantity comes from measurements made many
years ago with the heliometer. The discussion by Schurr
and Ambronn gave the angular diameter of the sun when
at its mean distance from the earth to be equal to 1 920^.0
=*= o".c>3. The investigations showed that there were slight
but unmistakable differences between the polar and equa-
torial diameters, but in spite of these differences it was as-
sumed that the sun was spherical. In this procedure they
followed the example set by the great master, Auwers.
In the present day of refinement in solar research it seems
quite unsafe to assume that the sun is necessarily spherical
or that the changes taking place in the polar and equatorial
diameters are so small that they are beyond the possibility
of measurement. The heliometer, as the name signifies, was
invented for the purpose of measuring the diameter of the
sun, the first heliometer coming from the hands of Fraun-
hofer (p. 77). It is a very valuable and refined instrument
of measurement, and in addition to its use on the sun it has
been extensively employed in the determination of stellar
parallaxes. The latter research has shown its limitations.
When used on the sun, the great heat of the sun causes the
same effect which is found in every instrument of precision
when exposed to the sun's rays, namely, the instrument is
124 ECLIPSES OF THE SUN
put out of accurate adjustment. The heliometer being
specially sensitive to changes in adjustment it is not sur-
prising to find, by reference to the original observations,
that the same observer, using the same instrument on two
successive days and under good observing conditions, would
obtain differences in the measurement of the equatorial di-
ameter of the sun amounting to i", 2", 5", or even 10" or
more. In addition, every observer has a " personal equa-
tion " in that he may constantly measure a quantity smaller
or larger than the average observer. Each astronomer who
has made visual or photographic measures is familiar with
the problem of systematic errors. With the sun it is difficult
to know how to allow for irradiation which causes a spread-
ing of the image.
The only practicable method of combining observations
inconsistent among themselves is to group all the measures
together and take the mean, at times assigning different
weights. If the quantity of observations is sufficiently great
and the number of observers numerous enough, it is quite
safe to assume that the peculiarities of any one individual
will have little effect in the final mean. For the determina-
tion of the diameter of the sun, Auwers had at his disposal
no less than 15,000 observations made by 100 observers
working between the years 1851 and 1883. The measures,
however, were not all made by the heliometer.
The large systematic errors to which these measures were
subject have had a curious effect on future observations, a
parallel to which is not found in any other department of
astronomical investigation. The result has virtually been to
terminate all observational measures of the solar diameter.
What would it avail any astronomer if he should measure the
diameter of the sun with the heliometer on hundreds of days,
spending perhaps many thousands of hours of diligent toil
in the research, only to find that his results differed from the
generally accepted value? To the astronomical world this
difference would probably be regarded as a proof, not that
the accepted value was in error or that the diameter of the
sun was changing, but rather that the measures of the in-
dividual though made with the greatest of refinement were
THE SURFACE OF THE SUN 125
subject to personal equations. At best the astronomer se-
cures little reward for the hard toil devoted to his skilled
researches. Moreover, he is a human being and naturally
he desires some compensation other than that of advertising
to the rest of the scientific world that he is a faulty ob-
server. And this, strange to relate, is the state of affairs in
the enlightened days of the twentieth century when hun-
dreds of thousands of dollars are spent each year in solar
research ! Astronomy appears to be virtually saying that no
improvements are possible in the work done nearly half a
century ago by the heliometer — and so we shall assume
that the sun is spherical and without change.
Are no other methods available? Why not try photog-
raphy? Surely the great resources of modern astronomy
can conquer any difficulties ! There are indeed no difficulties
of any note connected with the photographic processes, for
excellent photographs of the sun are being secured daily.
The main difficulty to be overcome is the same one that
affects heliometer work, namely, the heat of the sun. This
alters the length of the telescope tube and changes the focal
length of the object glass so that the exact scale of the photo-
graphs is uncertain. These changes, however, do not alter
the relative scales of the polar and equatorial diameters.
Some indefatigable worker, therefore, has already waiting
to his hand some hundreds of thousands of solar negatives
to be measured and discussed for the purpose of determining
whether or not the sun is spherical.
The only method apparently available of eliminating the
effect of the heat of the sun and at the same time applying
photography is clearly outlined by Hayn 1 who applied it
with great success at the eclipses of April 17, 1912, and
August 21, 1914. By means of photographs taken at the
time of a solar eclipse, not however, during totality, but
during the partial phases, the shape and size of the sun can
be determined, the shape and size of the moon also, and in
addition, the times of contacts of the limbs of the sun and
moon usually secured at eclipses.
A research somewhat similar in character has been carried
1 Astronomische Nachrichten, 201, 185, 1915.
126 ECLIPSES OF THE SUN
out by Henry Norris Russell * who measured photographs
taken at Harvard College Observatory for the purpose of
determining the position of the moon with respect to the
stars. To secure satisfactory photographs, it was necessary
to make the exposures on the moon the thousandth part of
those required for the stars, and at the same time the tele-
scopic object-glass had to be shielded from the light of the
moon so that the photographic plate might not be fogged.
The difficulties to be surmounted by Hayn's method during
the progress of the eclipse are not as great as those overcome
at Harvard in thus photographing the moon. To give in-
formation of the highest degree of reliability, it is necessary
to know the latitude and longitude and the observed times
with great precision. On this account it would be preferable
to test Hayn's method at a fixed observatory rather than
to attempt it under the temporary conditions of an eclipse
expedition. The best locations will be those nearest the
path of totality. At the eclipse of September 10, 1923, three
great American observatories and the Mexican National
Observatory at Tacubaya were conveniently located, the
American institutions being Mt. Wilson, Lick and Lowell
observatories. With the superb instrumental equipment of
the Mt. Wilson Observatory and an eclipse ninety-eight
percent total, what magnificent scientific results might not
have been obtained if the skies had not been densely cloudy!
At the total eclipse of January 24, 1925, the Van Vleck
Observatory with its 2o-inch visual refractor was in the path
of totality, and consequently a series of photographs were
taken between third and fourth contacts. On account of
the poor conditions of seeing, everywhere observed at this
eclipse, the limbs of both sun and moon were not sharp.
Measures 2 of ten Van Vleck photographs and two made with
the Yale refractor show the difficulties of making proper al-
lowance for irradiation, or spreading, of the photographic
images. It might be possible to allow for uniform irradiation
but it is more difficult to take care of differential irradiation
due to the fact that the intensity of the solar radiation de-
1 Harvard Annals, 72, 76 and 80.
2 Astronomical Journal, 37, 32, 33, 1926.
THE SURFACE OF THE SUN 127
creases toward the limb, thus greatly affecting plates taken
when the solar cusp is small near the time of totality. Evi-
dently the only practicable method would be to take photo-
graphs both before and after totality.
At the brief eclipse of April 28, 1930, three photographs
were taken ' with the 36-inch Lick refractor, in spite of wide-
spread clouds.
The eclipse of October 21, 1930 gave the opportunity of
taking sixteen photographs with each of two cameras, one
38-inches, the other i5-feet in focal length. The lenses were
fitted with graflex shutters and were stopped down. With
each camera, eight plates were taken at one-minute intervals
starting shortly after first contact, and another eight plates
ending shortly before fourth contact. The plates were used
to determine the times of first and fourth contacts. Differ-
ences were found in the intensities of the plates caused by
variations in transparency and alterations in the rate of the
exposing shutter. The plates were measured 2 independently
by Marriott and Pitman. The mean of their measures shows
that the 1 5-foot camera gave the time of first contact 1.2 sec-
onds earlier, and the time of fourth contact 1.2 seconds later,
than was obtained from the 38-inch camera; an effect un-
questionably due to irradiation. Assuming a correction of
+ i ".50 to the sun's mean longitude, the photographs showed
that the American Ephemeris position of the moon needed
corrections of -j- 5". 54 in mean longitude and — 0^.25 in
latitude. For predicting the eclipse, Washington had used a
correction to the moon's longitude of + 5"-47 obtained from
occultations. The photographs showed that first contact was
1.5 seconds earlier and fourth contact o.i seconds later than
the predicted times.
1 Publ. A. S. P., 42, i45, 1930.
2 Astronomical Journal, 41, 129, 1931.
CHAPTER VIII
MODERN ECLIPSES BEFORE 1878
"Tycho sought the truth
From that strange year in boyhood when he heard
The great eclipse foretold; and, on the day
Appointed, at the very minute even,
Beheld the weirdly punctual shadow creep
Across the sun, bewildering all the birds
With thoughts of evening." — NOYES.
ASTRONOMY owes much to the eclipse of the sun
visible in Copenhagen on August 21, 1560, and to
the fact that a red-headed, freckled-face boy of
fourteen , destined to become the greatest and most careful
of observational astronomers since the time of Hipparchus,
had his keen young imagination fired by watching the
" orange ember in the sky wane into smouldering ash.'7 As
a consequence, this boy, Tycho Brahe, resolved to devote
his life to unravelling the deep mystery of these strange
happenings. The romantic incidents of his productive life
have been beautifully told by Alfred Noyes. From his own
printing press in his observatory of Uranibourg appeared
the Historia Coelestis in which appears a long list of eclipses
beginning with one visible in Rome on March 28, in the
year 5 A.D.
At the eclipse of May 3, 1715, Halley referred to that of
the year 1140 as the last one previously observed in London.
Although visible not far from London, Hind finds from in-
vestigation that this eclipse was not seen in the city itself,
so that it can be said with certainty that not a single total
eclipse of the sun had visited London for 600 years previous
to 1715.
The first eclipse of the sun to be carefully observed in
the British Colonies of America was that of June 24, 1778,
which was watched by the astronomer David Rittenhouse
128
DETAILS OF THE HYDROGEN PROMINENCES, JUNE 8, 1918, INCLUDING THE " EAGLE
PROMINENCE "
From the painting by Howard Russell Butler, N. A.
MODERN ECLIPSES BEFORE 1878 129
of Philadelphia. The first American expedition was orga-
nized and sent out from Harvard College for the eclipse of
October 27, 1780. As this took place during the war of the
American Revolution, an appeal was made to " the govern-
ment of the Commonwealth that a vessel might be prepared
to convey proper observers to Penobscot-Bay; and that ap-
plication might be made to the officer who commanded the
British garrison there, for leave to take a situation con-
venient for this purpose.
" Though involved in all the calamities and distresses of
a severe war, the government discovered all the attention
and readiness to promote the cause of science, which could
have been expected in the most peaceable and prosperous
times; and passed a resolve, directing the Board of War to
fit out the Lincoln galley to convey me to Penobscot, or any
other port at the eastward, with such assistants as I should
judge necessary.
" Accordingly, I embarked October 9." *
Probably on account of an error in the tables, the eclipse
was not total where the Harvard party was located. Be-
tween the first and second contacts Professor Williams
measured the angular length of the moon subtended by the
decreasing crescent of the sun. He gives the following de-
scription of what appeared shortly before the total phase
was expected: " The sun's limb became so small as to ap-
pear like a circular thread or rather like a very fine horn.
Both the ends lost their acuteness and seemed to break off
in the form of small drops or stars some of which were round
and others of an oblong figure. They would separate to a
small distance, some would appear to run together again
and then diminish until the whole disappeared."
Apparently this is a clear description of the so-called
" Baily's Beads " observed by Francis Baily at the eclipse
of 1836. An excellent description of this phenomenon is
given by Agnes Clerke in her History of Astronomy during
the Nineteenth Century, page 74. Baily gave the correct
explanation of the phenomenon he saw as being due to ir-
radiation. This same effect is seen when one holds up his
1 Memoirs American Academy of Arts and Sciences, /, 84, 1783.
130 ECLIPSES OF THE SUN
hand to the sunlight. In making the fingers come close to-
gether, they appear to touch each other before one feels
they are actually in contact. An analogous manifestation
is called the " black drop " which caused surprise at the
transits of Venus in the years 1761 and 1769, and was the
source of great trouble to astronomers at the transits of 1874
and 1882, so widely observed for the purpose of determining
the solar parallax. The appearance of " Baily's Beads " is
a phenomenon well worth watching and should be atten-
tively looked for just before totality begins and just after
it ends. Very excellent observations may be made with a
good pair of field glasses or with a small telescope, a large
telescope being unnecessary.
Baily was not an astronomer by profession. He was a
stock-broker, and fortunately he had been successful in the
making of money, with the result that he was able to devote
the maturer years of his life to astronomy which he took up
as his hobby. His work is but one of the many instances
of the great debt of science to the amateur astronomer.
One important result of his observations in 1836 was to
show professional astronomers that at the time of the total
eclipse of the sun there were other phenomena to observe
than the mere times of contact of the limbs of the sun and
moon.
The eclipse of 1836 witnessed not only the phenomenon
of " Baily's Beads " but also an attempt by Forbes to test
the physical constitution of the sun's atmosphere by means
of the spectroscope. A new era for astronomy had accord-
ingly dawned. An eclipse occurred in Southern Europe on
July 8, 1842, and into the narrow track were collected the
foremost astronomers from England, France, Germany and
Russia. What was observed in 1836 was as nothing com-
pared with the wonders of the eclipse of 1842!
One of the strangest portions of the history of astronomy
before the middle of the nineteenth century is the evident
lack of interest in, or perhaps one should say, the dearth
of accurate observations of the phenomena visible at
the time of a total eclipse of the sun. The startling
suddenness of the apparition, coming in the early days of
MODERN ECLIPSES BEFORE 1878 131
civilization without warning, must have brought terror to
the hearts of the populace and caused them to fear
war or pestilence or the death of a favorite prince.
It is but natural that the prehistoric superstition of
the dragon swallowing the sun should have spread during
the middle ages from the far East to all of the civilized
world. One fleeting glance , however, should have revealed,
even to the most timorous minded, the pearly-gray light of
the corona and brought to view the glow of the rosy-hued
prominences. To those of the present generation, the nine
hundred and ninety-nine out of a thousand who have never
had the good fortune to witness a total solar eclipse, it might
not be out of place to point out that a telescope is entirely
unnecessary for viewing the beauties of the corona, this
being a spectacle that derives its glory from the wide-spread
splendor and slight gradations of contrast. A telescope,
small or large will of course magnify any particular portion
— but to see and enjoy the beauty of the corona as a whole
nothing is actually needed but the normal naked eye.
Published references to the corona in the early literature
are exceedingly rare. Plutarch and Philostratus give allu-
sions which unmistakably refer to the corona, but appar-
ently the first to take any scientific cognizance of the crown
of glory was Kepler who seems to have witnessed the solar
eclipse of 1605 in Naples. A hundred years later at the
eclipse of 1706, Cassini, who was a practised observer, de-
scribes the " crown " of pale light, and he decides that it
must be caused by the illumination of zodiacal light; and
eleven years thereafter, Halley saw the corona and also
prominences, but he was unable to decide whether the corona
belonged to the sun or to the moon.
If so little attention was paid to the corona, it is not sur-
prising that even less should be taken of the " red flames/'
though if one refers to the plate facing page 130 he will see
what a brilliant spectacle they afforded in the eclipse of
1918. The first reference to them seems to be at the eclipse
of 1706 when they were apparently observed by Stannyan
who wrote a description of them to Flamsteed. The first
vivid portrayal was by Vassinius of Sweden who observed
132 ECLIPSES OF THE SUN
them in 1733. The Spanish admiral Ulloa observed them
while at sea during the eclipse of June 24, 1778, and he
furnished a valuable account, with the added explanation
that the rosy hues were caused by the sun's light shining
through some hole or crevice in the limb of the moon!
The astronomers who witnessed the eclipse of 1842 were
entirely unprepared for the phenomena that met their gaze.
Baily repaired to Pavia, and made his observations from
one of the rooms of the University. One of the professors,
out of the goodness of his heart, offered to assist him in any
way possible, but Baily informed him that all he wanted
was to be " left alone, being persuaded that nothing is so in-
jurious to the making of accurate observations, as the intru-
sion of unnecessary company. " Not being content with this
gentle hint, the key was taken from the outside of the door
and it was securely locked on the inside. Baily's report of
the observations made at the eclipse is found in the Memoirs,
R. A. S., 15, 4, 1846, as follows: " The beads were distinctly
visible. ... I was astounded by a tremendous burst of ap-
plause from the streets below, and at the same moment was
electrified at the sight of one of the most brilliant and splen-
did phenomena that can be imagined. For at that instant
the dark body of the moon was suddenly surrounded with
a corona, or kind of bright glory. ... I had indeed antici-
pated a luminous circle round the moon during the time of
total obscurity, but I did not expect, from any of the ac-
counts of previous eclipses that I had read, to witness so
magnificent an exhibition as that which took place. . . .
The breadth of the corona, measured from the circumference
of the moon, appeared to me to be nearly equal to half the
moon's diameter. It had the appearance of brilliant rays.
Its colour was quite white, not pearl colour, nor yellow,
nor red.
" Splendid and astonishing, however, as this remarkable
phenomenon really was, and although it could not fail to
call forth the admiration and applause of every beholder,
yet I must confess that there was at the same time some-
thing in its singular and wonderful appearance that was
appalling. . , , But the most remarkable circumstance at-
MODERN ECLIPSES BEFORE 1878 133
tending this phenomenon was the appearance of three large
protuberances apparently emanating from the circumference
of the moon, but evidently forming a portion of the corona.
. . . All of these projections were of the same roseate cast
of colour, and very distinct from the brilliant vivid white
light that formed the corona. . . . The whole of these three
protuberances were visible even to the last moment of total
obscuration, at least, I never lost sight of them when look-
ing in that direction; and when the first ray of light was
admitted from the sun, they vanished with the corona, alto-
gether, and day-light was instantly restored."
The same appearance was witnessed by Airy, by Arago
and others. Arago has an interesting account of the effect
of the eclipse on the populace who had gathered in great
numbers to watch the phenomenon. " When the sun, re-
duced to a very narrow filament, began to throw upon the
horizon only a very feeble light, a sort of uneasiness seized
upon all; every one felt a desire to communicate his impres-
sions to those around him. Hence arose a deep murmur,
resembling that sent forth by the distant ocean after a
tempest. The hum of voices increased in intensity as the
solar crescent grew more slender; at length the crescent
disappeared and an absolute silence marked this phase of
the eclipse. The phenomenon in its magnificence had tri-
umphed over the petulance of youth, over the levity which
certain persons assume as a sign of superiority, over the
noisy indifference of which soldiers usually make profession.
A profound stillness also reigned in the air, the birds had
ceased to sing."
The arrival of totality in Milan was greeted by a great
shout, mingled with cries of " Long live the astronomers "
who had provided such a beautiful phenomenon to please
and interest the populace!
The unexpected nature of prominences and corona seen
at the eclipse coupled with the publication in 1843 of
Schwabe's discovery of the periodicity of sun-spots caused
an unprecedented increase of interest in matters pertaining
to the physical constitution of the sun. Various ingenious
explanations appeared. While most astronomers believed
134 ECLIPSES OF THE SUN
that the prominences were truly solar in their origin, there
were many who thought they were possibly some exhalation
in the earth's upper atmosphere, while still others believed
that in some manner diffraction round the edge of the moon
was responsible for these eclipse envelopes. In passing, we
might mention a notion of no less an authority than Halley
which was so curious that it should be classed along with
William HerschePs belief that the sun might be cool and
habitable. Halley1 thought that the appearances on the
eastern and western edges of the sun at a total eclipse might
reasonably be expected to be different, for the reason that
" the eastern limb of the moon had been exposed to the sun's
rays for a fortnight, and as a consequence it would be natural
to expect that the heated lunar atmosphere might exert some
absorbing effect on the solar rays, while on the contrary the
western edge of the moon being in darkness and cold for two
weeks could exhibit no such absorbing action."
The interest aroused in total eclipses was now so great
that astronomers were determined to take advantage of
every opportunity, no matter how short the time of totality
nor how great distances it was necessary to travel in order
to view the eclipses. The eclipse of July 28, 1851, was
visible in Norway and Sweden, and English astronomy was
well represented in the persons of the astronomer royal Airy,
Hind, Dawes, Carrington, Stephenson, Gray, Lassell and
Williams. Although Faye * still asserted with force that the
prominences were merely optical illusions or " mirages pro-
duced near the moon's surface," the general consensus of
opinion was that the origin of the red flames was to be
sought in the sun. To this fire of scarlet hue Airy gave the
name of sierra.
Any lingering doubts regarding the origin of this sierra
were forever dispelled by the observations made at the
eclipse of July 18, 1860, visible in America, Spain and
Northern Africa. The solution of the problem was accom-
plished by photography which was applied for the first time
at an eclipse with anything like success. As the prominences
1 Phil. Trans., 29, 248, 1715.
2 Memoirs, R. A. S., 21, 5, 1853.
MODERN ECLIPSES BEFORE 1878 135
are red m color to the eye and as the ordinary photographic
plate is insensitive to red (plates are usually developed
under ruby light) grave doubts were felt whether photo-
graphs would be able to portray the red flames. The only
thing to do under the circumstances was to " try something
and see what happens " (excellent advice for the scientist
usually credited to the late Professor H. A. Rowland).
Photography had already been applied at the eclipse of 1851
when Busch obtained some feeble impressions of the eclipsed
sun by the daguerreotype process. Photography was even
attempted in 1842 using iodized paper, but with no results.
Warren de la Rue used the heliograph from Kew, enlarging
the image before it reached the photographic plate, while
Father Secchi employed a six-inch refractor without enlarge-
ment. Photographs of both observers were successful. De
la Rue was near the Atlantic in Spain while Secchi was on
the Mediterranean Coast, six minutes of elapsed time being
necessary for the moon's shadow to travel from one station
to the other. The conclusions from the 1860 eclipse were:
i. The prominences are rich in actinic power (now known
to be due principally to the H and K light of calcium). 2.
As the moon passed in front of the sun it progressively cov-
ered and uncovered the prominences, thereby demonstrating
completely that their origin is strictly solar. 3. During the
six minutes of elapsed time, changes were noted in some
prominences but no variations in others. 4. The material
from which the red flames arise is found around the whole
solar globe. This is the sierra of Airy, but later, called the
chromosphere by Lockyer.
The success attending the eclipse of 1860 came almost at
the same time with the unraveling of the enigma of the
spectrum. After two centuries of slow and painstaking
progress, the crucial experiments had been performed by
Kirchhoff by means of which the action of the spectro-
scope was at last understood. As a result, interest in eclipse
observations was no longer confined to the astronomer alone,
for many investigations were to be undertaken which were
not confined by the determination of exact time or position.
The birth of physical astronomy, or astrophysics, insured
136 ECLIPSES OF THE SUN
that henceforth eclipse observations would be of quite as
much interest to the physicist as to the astronomer, and for
the interpretation of these observations, research work in the
laboratory was quite as important as that in the observa-
tory. What spectrum would the prominences give? The
answer was not difficult. Apparently the prominences were
not, as had previously been thought, masses of photo-
spheric material shot up to great heights by some explo-
sive or volcanic action on the sun, since it was evident
that the boomerang-shaped protuberance seen at the eclipse
of 1851 could hardly have existed under the laws of gravita-
tion. It was top-heavy and could not have hung there
above the sun even for the short space of time it was visible
if it had been composed of the general material forming the
sun's photosphere. And then there was the distinct differ-
ence in color noted between the red flames and the body of
the sun. Manifestly, since all of the gases forming the sun
did not take part in the solar outburst, the prominences
probably consisted of a few gases only, perhaps one of their
chief constituents was the lightest of known gases, hy-
drogen, whose visible spectrum known from stellar investiga-
tions consisted of a strong line in the red, another in the blue,
and a series of others coming closer together as the violet
end of the spectrum was approached. The red line of hy-
drogen seemed to give a color not differing materially from
the red of the prominences. If therefore the prominences
were actually outbursts of hydrogen gas heated to great
temperatures in the solar furnace, the eclipse spectrum
would be vastly different from the ordinary solar spectrum.
The band of light would not be continuous from the red to
the violet end, nor would any dark Fraunhofer lines be
visible. Since the prominences were probably gaseous, their
spectrum, as known from the laws of Kirchhoff, must consist
of bright lines on a dark background, an emission spectrum.
It appeared therefore that the prominence spectrum would
consist of a few bright lines only, the red and blue lines of
hydrogen, and the series towards the more refrangible end.
more difficult to see on account of the fact that the human
eye is not sensitive to violet light.
OUTER LAYERS OF THE CHROMOSPHERE
Photographed by Deslandres by spectroheliograph at Meudon, France, on
June 7, 1919. Above: K/3 of calcium. Below: Ha of hydrogen. Note the
differences in appearance of the two photographs and the fine detail that
TEST OF RADIAL MOTIONS IN THE SUN
Photographed by Deslandres at Meudon with the Ki ray of calcium,
April ii, 1910.
MODERN ECLIPSES BEFORE 1878 137
But there was no eclipse on which to " try and see what
happened " until August 18, 1868, so it was necessary for
the physicists and astronomers to possess their souls with
patience; but alas! the eclipse was visible only in far-off
India, the Malay peninsula and Siam. The distances were
great, but the problems were important, and accordingly
several expeditions, two British, two French, one German
and one Spanish were found in the eclipse track. The
greatest success attended the observation of Janssen. The
slit of his spectroscope directed to the edge of the sun re-
vealed the spectrum of the prominences consisting, as had
been thought, of a series of bright emission lines, most
prominent among which were three lines, the red and the
blue lines clearly belonging to hydrogen, but one of almost
equal brilliancy in the yellow. The color of the yellow line
seemed to match the D-lines of sodium, ever-present in
laboratory experiments, but why should the gas sodium,
comparatively heavy, be found in the prominences?
The brilliancy of the prominence lines was so remark-
able that Janssen determined to seek them again after the
eclipse was over. If they were solar in origin they must
be found on the sun every day, varying it is true in shape
and dimensions. The only reason why the prominences
cannot be seen any day is the same reason why the stars
are not visible in daylight, — the glare of the earth's at-
mosphere, especially when close to the sun, being very great.
Abolish the atmosphere where the observer worked, and the
stars and prominences would at once become visible; and
since the moon has little or no appreciable atmosphere, the
prominences would be seen each day without an eclipse to
the " man in the moon " if such a person existed. But how
get rid of, or diminish, the glare of the earth's atmosphere
to such an extent that the prominence luminosity will be
more intensive than the light of the earth's atmosphere?
This feat can be accomplished by the spectroscope. The
emission lines, C and F of hydrogen, found in prominences,
are monochromatic in character, that is, these lines betake
approximately the nature of mathematical lines and show no
appreciable width. As a matter of fact, it is impossible to
138 ECLIPSES OF THE SUN
diminish their intensity by increasing the dispersion of the
spectroscope, whether this increase is accomplished by the
addition of extra prisms or by the employment of a grating.
Increased dispersion, however, spreads out these lines in
the spectrum to greater distances apart, but their inten-
sities are not thereby diminished. On the other hand, the
continuous background of the solar spectrum can be weak-
ened at will by merely increasing the amount of the disper-
sion, a fact which is at once evident since the light
passing through the slit is by an increase of prisms spread
over a greater area. Reflected sunlight, whether from
the moon's surface, from the planets, from a silvered
mirror or from particles of dust in the earth's atmos-
phere, gives the solar spectrum. Consequently, the promi-
nences may be made visible by the spectroscope by the
simple process of increasing the dispersion to such an
extent that they can shine by contrast with the weakened
atmospheric glare. As a result of these ideas, Janssen
looked for and found the prominences after the eclipse was
a thing of the past. The same or similar ideas had oc-
curred to other workers with the spectroscope, notably to
Huggins and to Lockyer in England. Without having been
present at the eclipse, the latter tried for the prominences
and found them for the first time on October 20, 1868.
Lockyer sent a record of his observations to the French
Academy, and without having heard of the Englishman's
results, Janssen sent on to Paris the report of the work he
had done at the eclipse and afterwards. By a strange coin-
cidence, the papers from both investigators were read at the
same sitting of the Academy, in honor of which event a
medal was struck bearing the likeness of both Lockyer and
Janssen.
Thus in the moment when the chemical nature of the
prominences was discovered by the spectroscope, these ob-
jects ceased to be phenomena confined to eclipses only. As
a happy and most fortunate result, a two-fold benefit thus
accrued to the astronomer: freed from the necessity of ob-
serving prominences during the all too brief moments of a
total eclipse he could devote his energies to other investiga-
MODERN ECLIPSES BEFORE 1878 139
tions. Not only could prominences be observed without an
eclipse , but by the same methods, researches could be carried
out on the solar envelope from which prominences arose, the
chromosphere. Frequent violent eruptions on the sun
carried the solar flames up to great distances and with enor-
mous velocities, and these phenomena were observed visually
by Young, Lockyer, Tacchini and a host of other investiga-
tors, many important researches 1 being carried out. The in-
vention of the spectro-heliograph in 1893, independently and
almost simultaneously, by Hale and Deslandres permitted
an attack on these problems by the help of photography.
The great triumph of the spectroscope in 1868 gave evi-
dence to the solar astronomer of the important problems
awaiting solution, and it appeared almost certain that each
observation carried out with care would be a valuable dis-
covery. What was the corona? Did it shine by its own
light, or by reflected sun's light? Was there any connec-
tion between the prominences and the corona? How far
out did the corona extend, and were there any changes in
its form that could be detected? Was the explanation of
the dark Fraunhofer lines of the solar spectrum the true
one, and was it possible that eclipses could help in the
problem?
The eclipse of August 7, 1869, crossed America diag-
onally from Alaska to North Carolina. The United
States government made a large appropriation to help de-
fray the expenses, and as a result of this and also on ac-
count of the favorable time of year, the eclipse track in
the United States was almost one continuous observatory,
so thickly were the astronomers scattered. To give a list
of those who saw the eclipse would be practically equiva-
lent to making a record of every astronomer of any impor-
tance who was then living in the United States. Those too
" were the good old days " before railroad executives were
harassed by government regulations and Interstate Com-
merce Commissions and when free transportation for pas-
sengers and goods could be furnished. The following is
copied from the Report on Observations of the Total
i See Young, The Sun.
140 ECLIPSES OF THE SUN
Eclipse of the Sun, August 7, 1869. On page 3, J. H. C.
Coffin, U. S. N., Superintendent of the Nautical Almanac,
reports, " Col. Thomas A. Scott, vice-president of the Penn-
sylvania Central Railroad, furnished a special car, and with
the cordial cooperation of Mr. Robert Harris, general super-
intendent of the Chicago, Burlington and Quincy, and Mr.
C. E. Perkins of the Burlington and Missouri Railroad,
provided free transportation for these parties, with all their
instruments and apparatus to and from the places of ob-
servation. Free passes to ten or twelve others over the
same routes were also granted/' In the same report, page
115, Professor Morton estimates that " an expense of
$1500 was spared the government appropriation."
Fortunately, clear skies greeted the observing parties.
Little of the important work accomplished will be noted
in detail here. Spectroscopically, the most valuable dis-
covery was that the spectrum of the corona was continuous
but was traversed by a single green ray. This green line
was detected independently by both Harkness and Young,
the latter identifying its position as coinciding with the line
numbered 1474 on Kirchhoffs scale. But since this line
1474 is due to iron, it was surprising and perplexing in the
highest degree to find it present in the corona and reaching
such great heights above the sun's surface. In spite of the
apparent coincidence, it was evident that the substance
causing the green line was not iron. To it the name
coronium was given, — and today after more than a half
century of active research we know little more of coronium
than when it was first discovered. At this same eclipse,
Professor E. C. Pickering employed a portrait lens, thus
recognizing its value in the portrayal of the heavens. As
he was located at Mt. Pleasant, a little farther west than the
rest of the expeditions, to him belongs the honor of securing
the first successful photograph of the corona in America.
Other photographs were secured by Winlock and others on a
larger scale and with good definition which showed, the
corona and prominences.
The United States Congress appropriated the sum of
$29,000 for observations at the eclipse of December 22,
MODERN ECLIPSES BEFORE 1878 141
1870, visible in Spain, Northern Africa, Sicily, Greece and
Turkey. America was represented in the eclipse track by
the following: Pierce, Newcomb, Harkness, Hall, East-
man, Winlock, Young, Langley, Pickering, Peters, Watson,
Clark, Ernst, Willard, Ross, Gannet, and General Abbott.
The British government granted £2000 and a ship. A
great variety of observations were projected and only par-
tially carried out on account of clouds that prevailed almost
everywhere, observations photographic, spectroscopic,
photometric and polariscopic. Lockyer met shipwreck and
clouds, but was rewarded in the end by a glimpse of the
corona for one brief second and a half! Janssen made
good his exit from beleaguered Paris in a balloon, but though
he succeeded in escaping from the bullets of the Germans,
he was forced to capitulate to obscuration by the clouds.
The most conspicuous success awaited the efforts of Pro-
fessor C. A. Young of Princeton who had foretold, and
whose eye was the first to see the " flash spectrum." Ac-
cording to the theory of Kirchhoff (p. 97) the spectrum
of the photosphere would be continuous from red to violet
without any dark lines were it not for the overlying solar
atmosphere. Here in the so-called reversing layer, the
gases are at a lower temperature than in the photo-
sphere, and on account of these cooler conditions the
photospheric light is absorbed by the reversing layer,
and the resultant spectrum is that of dark lines on
a bright background. As already explained, if the photo-
sphere could be removed, then the gases forming the revers-
ing layer, since they are at a high temperature, would give
a series of bright lines on a dark background, which is
technically called a " reversal " of the Fraunhofer spec-
trum. To describe the appearance in 1870, one cannot do
better than to quote from the words of the discoverer:1
" The observation is possible only under peculiar circum-
stances. At a total eclipse of the sun, at the moment when
the advancing moon has just covered the sun's disk, the solar
atmosphere of course projects somewhat at the point where
the last ray of sunlight has disappeared. If the spectro-
1 Young, The Sun, p. 83.
142 ECLIPSES OF THE SUN
scope be then adjusted with its slit tangent to the sun's
image at the point of contact, a most beautiful phenomenon
is seen. As the moon advances, making narrower and nar-
rower the remaining sickle of the solar disk, the dark lines
of the spectrum for the most part remain sensibly un-
changed, though becoming somewhat more intense. A few,
however, begin to fade out, and some even turn palely
bright a minute or two before totality begins. But the
moment the sun is hidden, through the whole length of the
spectrum, in the red, the green, the violet, the bright lines
flash out by hundreds and thousands, almost startlingly; as
suddenly as stars from a bursting rockethead, and as
evanescent, for the whole thing is over in two or three
seconds. The layer seems to be only something under a
thousand miles in thickness, and the moon's motion covers
it very quickly.
" The phenomenon, though looked for at the first eclipses
after solar spectroscopy began to be a science, was missed
in 1868 and 1869, as the requisite adjustments are delicate,
and was first actually observed only in 1870."
The same phenomenon was witnessed by Pye, a member
of Young's party. The bright lines were so numerous that
the impression was gained that every one of the thousands
of Fraunhofer lines was reversed from dark to bright, wrhile
" the phenomenon was so sudden, so unexpected, and so
wonderfully beautiful as to force an involuntary exclama-
tion." 1 Professor Young called this sudden transition the
flash spectrum. The same phenomenon was witnessed at
the eclipse of December 12 of the following year by
Maclear, Herschel, Lockyer and Fyers, the eclipse being
total in India, Ceylon and Northern Australia (where clouds
interfered). Again at the annular eclipse of June 6, 1872,
seen by Pogson in India, and at the total eclipse of April
1 6, 1874, witnessed by Stone in South Africa, the flash
spectrum was observed. This is one of the most interest-
ingly beautiful and important of the phenomena connected
with total eclipses. During the past half century the flash
spectrum has been carefully observed at each eclipse. More
1 Memoirs, R. A. S., 41, 435.
MODERN ECLIPSES BEFORE 1878 143
recently it has been photographed in exquisite detail, and
has also been photographed at Mt. Wilson without an
eclipse. (See Chapter XV.)
Apparently, it had been almost definitely settled that
the corona is a truly solar appendage, for in addition
to the spectroscopic evidence in the matter, the photo-
graphs in 1871 showed the same details in the coronal
streamers from observing stations widely separated, an
effect which could not possibly take place if the corona
was terrestrial in origin. Such then was the state of scien-
tific information regarding the corona as it existed before
the eclipse of 1878 which was visible in America. Little was
known with exactitude, there was very much of perplexity
and uncertainty and doubt. The unsatisfactory nature of
the whole subject may perhaps be envisaged in one sentence
copied from a book by one of the most assiduous of spectro-
scopic investigators of the time, Norman Lockyer. " Now
the whole phenomenon of the corona may be defined in two
words, cool prominences"
If the knowledge of the corona was disappointing and
perplexing, the decisions of the spectroscope regarding the
reversing layer were equally uncertain. Kirchhoffs theory
demanded that there should be a layer of vapors relatively
cool surrounding the photosphere. Where was this layer,
close to or far away from the sun? Was the layer thin, or
one more extensive? At the eclipse of 1870, Young had
discovered a flash spectrum apparently of thousands of
lines suddenly turned from dark to bright. This phe-
nomenon was visible for only two or three seconds at the
beginning and ending of totality, and in consequence, the
reversing layer must be very shallow, approximately 600
miles in thickness. But were all of the Fraunhofer lines
turned from dark to bright? Since the appearance was
visible during the few hurried and excited seconds of an
eclipse, it was manifest that no exact comparison with
Fraunhofer lines was possible, nor would be possible until
the time should arrive when the flash spectrum could be re-
corded by photography. Moreover some spectral lines were
seen to turn bright half a minute or more before the be-
144 ECLIPSES OF THE SUN
ginning of totality, so that it was evident that not all of the
reversing layer was confined to the 6oo-mile limit. Still
other difficulties presented themselves. If the absorption
did take place in a layer of the solar atmosphere, then the
light of the photosphere passing tangentially through this
layer at the sun's limb should experience an absorption
greater in amount than that from the sun's center. In conse-
quence, the spectra of the center and limb of the sun were
compared in great detail, with the resulting discovery that
any differences in the relative intensities of the lines were
of such minor character that they could readily be explained
by the slight darkening of the limb compared with
that of the center. Kirchhoff believed that the spectral
lines of any element like sodium were characteristic,
or in other words, the same element gave always the
same series of lines no matter how the element was
vaporized. But when the flame spectrum was com-
pared with that of the higher temperature of the elec-
tric arc, and the still greater temperature of the electric
spark, great differences in the relative intensities of the lines
were at once observed. Lockyer was the first to call atten-
tion to, and emphasize the importance of these changes,
Take the element calcium, for instance. With a Bunsen
flame and with small dispersion, the chief line visible is in
the red end of the spectrum. At the temperature of the
arc, the strongest line is in the blue, at 42 2 7 A. The red
line is also visible and also two lines in the violet, the H and
K lines of the solar spectrum. Increase the temperature
of excitation by using the electric spark, and the two violet
lines greatly increase their intensities and become much
stronger than the blue line, while the red line practically
disappears. Similar changes of intensity were found by
Lockyer in magnesium, lithium, iron and other elements
examined, and these conclusions have been abundantly
verified by all observers since his time. Still further diffi-
culties presented themselves. When the wave-lengths for
the various metals were determined, it was discovered that
different elements had spectral lines with apparently iden-
tical wave-lengths. It was found that some. of these com-
MODERN ECLIPSES BEFORE 1878 145
mon lines were due to impurities in the metals examined,
but when these lines were omitted from consideration there
were still many lines evidently common to two or more
elements. It was consequently manifest that the identifica-
tion of lines in the solar spectrum was not the simple opera-
tion Kirchhoff supposed it to be, and that " the more
observations were accumulated the more the spectroscopic
difficulties increased.7' l Although some of the theories and
conclusions of Lockyer were incorrect, nevertheless spec-
troscopists are under a great debt to him for the splendid
series of researches carried out both in the laboratory and
in the observatory.
To solve some of these difficulties, Lockyer busily in-
vestigated the spectra of many elements by his well-known
method of long and short lines. If an electric arc is ar-
ranged horizontally and its image is projected on the
vertical slit of the spectroscope, it is seen at once that the
lengths of the lines in the spectrum vary considerably.
Since the core of the vapor between the two carbon poles
must be much hotter than that on the outside edges, it was
evident to Lockyer that the short lines were high tempera-
ture lines that become visible only at the hottest point, that
of the core, while the long lines were those which could
exist at different temperatures, at the great heat of the
center of the arc and at the lesser temperatures of the out-
side edges. This method of long and short lines thus ap-
peared to give a ready and convenient means of separating
the lines of highest temperature, which were comparatively
few in number, from the balance of the spectrum.
By arranging the spectra of stars in an orderly series, be-
ginning with the white stars, and passing through yellow
stars to those red in color, it was noted by Lockyer that
there was a steady increase in the total number of lines in
the spectra, there being few lines in the white stars other
than the hydrogen series, while the red stars possess an
enormous number of spectral lines. Thus in the progres-
sion in the reverse direction, from red stars back to white,
the spectra show fewer and fewer lines and become simpler
1 Lockyer, The Chemistry of the Sun, p. 176.
146 ECLIPSES OF THE SUN
in character. The same progression from red to white stars
saw an increase in intensity in the H and K lines due to
calcium. And as Lockyer was the first to recognize the im-
portance of temperature in altering the character of spectra,
so to him likewise belongs the great honor of recognizing
that changes in stellar spectra show that the white stars are
hotter than the yellow and these in turn are hotter than the
red. (Present-day researches show that as the stars increase
in temperature in the stellar series, the H and K lines do
not steadily increase in intensity but reach a maximum
strength, then begin to fade away and are entirely wanting
in the hottest stars, the blue-white helium stars of spectral
type B and stars of type O.)
Momentous in the highest degree therefore were the dis-
coveries of Lockyer showing the importance of temperature
in the interpretation of spectra, — but his explanations
of the underlying causes have not borne the weight of time.
His was the dissociation theory that the chemical atoms
were continually broken up into elements less complex in
structure, which exhibited simpler and simpler forms of
spectra as higher and still higher temperatures were reached.
As the white stars are those of the highest temperature, and
as they show practically nothing but the spectrum of hy-
drogen which is the element of smallest atomic weight, it
must represent the simplest element with the simplest spec-
trum. (The most recent researches show that though there
may be dissociation of the chemical atoms this takes place in
a manner vastly different from the dissociation demanded by
Lockyer's theory).
The sun being but a typical yellow star, this theory can
be put to the test in attempting to explain the phenomena
of the solar atmosphere as revealed by eclipses. Lockyer
assumed " that in the reversing layers of the sun and
stars various degrees of chemical dissociation are at
work, which dissociation prevents the coming together
of the atoms which, at the temperature of the earth
and at all artificial temperatures attained here, compose the
metals, the metalloids and the compounds." x In conse-
1 The Chemistry of the Sun, 201.
MODERN ECLIPSES BEFORE 1878 14/1
quence, there were grave doubts expressed by Lockye
whether the chemical elements known from laboratory ex
periments could at all exist at the great heat of the sur
except in the cooler parts of its atmosphere. It wa
imagined by him that this atmosphere consisted of succes
sive layers " like the skins of an onion/' the layers next the
sun obviously being the hottest. Hence in the interior layer!
could exist only " those constituents of the elementary
bodies which can resist the greater heat of these regions/
The spectrum of these inside layers, if such a spectrun
could be obtained apart from that of the rest of th(
sun, would therefore not be a reversal of the Fraunhofei
spectrum. According to Lockyer's hypothesis, the whoh
of the solar atmosphere is effective in the productior
of absorption. Young's observation of the flash spec
trum demanded a shallow reversing layer of a few hun
dred miles, but Lockyer's theory refused to admit th<
existence of a reversing layer separate from the super
incumbent strata. In other words, there could be IK
division possible into reversing layer, chromosphere anc
corona; these were but different manifestations of the solai
atmosphere, the corona being regarded as the outermost am
cooler parts of an atmosphere having a composite existena
and obeying the laws of gravitation. In consequence of this
theory, although Lockyer had himself witnessed the flast
spectrum at the eclipse of 1871, he at first was forcec
to doubt, and then actually to deny the existence oJ
the shallow reversing layer. The flashing out of lines
that he observed " has been called the reversing layer;
but I do not now (1881) believe that it is the reversing
layer for a moment, for, when it comes to be examined
we shall probably find that scarcely any of the Fraun-
hofer lines owe their origin to it, and we shall have %
spectrum which is not a counterpart of the solar spec-
trum." (Loc. cit.^p. 360.) The solution of the problen
could not be effected visually during the brief seconds avail-
able at a total eclipse for observation of the flash spec-
trum. The interpretation by one astronomer of what was
observed should be entitled to as much weight as the opin-
148 ECLIPSES OF THE SUN
ion of another. There was no hope of a solution of the
problem until the time should arrive when photography
could come to the rescue by furnishing a permanent record
of the flash spectrum which could be compared line by line
with the Fraunhofer spectrum in order to see whether the
one spectrum is the exact reversal of the other.
While these observations, epoch-making in their impor-
tance, were being made on prominences and reversing layer,
the corona was not forgotten. Strange as it may now seem,
there were still many astronomers of repute who believed
that the origin of the coronal light should be sought, not in
solar but in lunar or terrestrial causes. There were even two
theories based on the moon, one that the corona was due to
the diffraction of solar rays which pass near the moon's edge;
the other, that the phenomenon was due to reflection of
solar rays from the irregularities of the moon's surface.
Another curious theory which found great favor at the time
was that the corona was due simply to glare in the earth's
atmosphere. As a result of this hypothesis the corona would
necessarily be a phenomenon entirely local in its structural
character, details appearing differently to observers at sepa-
rate localities. If due simply to atmospheric glare, the
coronal details should be found projected also on the dark
moon.
There were now available four different methods for
attacking the corona: first, visual observations by the naked
eye, supplemented by the telescope; second, photography;
third, polariscopic observations; and fourth, the spectro-
scope. The polariscope had already shown that part, at
least, of the coronal light was reflected sunlight. This con-
clusion was corroborated by the discovery by Janssen at the
eclipse of 1871 of dark Fraunhofer lines in the coronal
spectrum, chief among which the D line of sodium was
recognized. The green emission line discovered at the
eclipse of 1869 was observed again in 1870 and 1871,
Tennant in the latter year discovering that this ray was
quite as conspicuous in a rift in the coronal light as in
the adjacent streamers. The corona appeared thus to
be shining from the luminosity of some unknown gas, which
1893
Chile
igoo
Georgia
U.S.A.
I8Q5
India
1901
Sumatra
THE CORONA PHOTOGRAPHED BY LICK OBSERVATORY PARTIES IN
DIFFERENT QUARTERS OF THE WORLD
PROMINENCES SEEN IN PROJECTION AGAINST THE SUN'S DISK
Photograph from Mt. Wilson Observatory.
MODERN ECLIPSES BEFORE 1878 149
strange to say shone as strongly in the dark regions of the
corona as in the bright streamers.
In 1871 for the first time, and due to a suggestion by
Young, a slitless spectroscope was tried. With the use of
such an instrument at mid-totality, the emission lines ap-
peared as rings of light, from the extent of which one could
ascertain the height of the various gases forming the corona.
By the help of photography in 1871, Lockyer showed that
hydrogen extended uniformly about the sun to the enormous
height of 200,000 miles. Could the solar atmosphere pos-
sibly extend to this colossal distance? Let us reason by
analogy with what we know of the earth. Its atmosphere, as
known from observations of meteors, extends about one
hundred miles above sea-level. The sun is more than one
hundred times the diameter of the earth and with the same
relative distribution the solar atmosphere might conceivably
extend 10,000 miles from the solar surface. But an atmos-
phere possesses mass and is obedient to the law of gravita-
tion, and since gravity on the sun is twenty-seven times that
on the earth, we would expect that a true atmosphere on the
sun could not extend to elevations of more than 4,000 miles.
But the hydrogen observed was at distances of 200,000
miles, with the green ring reaching the still greater extent
of 300,000 miles, whereas the coronal streamers were seen
to stretch out several millions of miles from the sun's surface.
Apparently, the spectroscope had not solved many of the
difficulties of the coronal structure, but rather had succeeded
only in complicating matters, for to add to the difficulties
already great, it was now necessary to explain how it was
possible that the luminous gases hydrogen and coronium
could extend to the very great distances revealed by the spec-
troscope. No terrestrial origin could be found for the green
coronal line, nor did Young's discovery in 1876, that Kirch-
hoff's " 1474 " was a double line help solve the problem.
The perplexities were indeed very great. A faint ray of
hope appeared in an unexpected quarter. In 1866, shortly
after the great November meteor shower, Schiaparelli
proved that the Perseid meteors moved in the same path as
Tuttle's comet of 1862, while the Leonids and the Temple
150 ECLIPSES OF THE SUN
comet had identical orbits. This double coincidence between
meteor and cometary orbits was corroborated in 1872 when
it was found that the Andromedes, or Bielids as they are now
called, had the same path about the sun as the lost Biela
comet. The importance of meteors in any cosmical proc-
ess was thus realized, and it was but natural that attempts
should be made to solve the coronal puzzle by means of the
meteoric hypothesis, — but as we shall see later, with little
success. Newton and Cleveland Abbe in America and
Lockyer in England pinned most faith to the meteoric ex-
planations.
CHAPTER IX
NINETEENTH CENTURY ECLIPSES AFTER 1878
total eclipse of July 28, 1878, was observed in
the United States from Wyoming to Texas. On
account of the great interest in and the vast im-
portance of the problems to be solved, the eclipse was widely
observed from some twelve stations by about one hundred
astronomers.
Ever since the discovery of the sun-spot period in 1843
and the finding that the earth's magnetism possessed the
same period, astronomers had been on the alert to ascertain
whether other solar phenomena moved in cycles parallel to
the sun-spot curve. It had already been found that both
prominences and faculae were more numerous when spots
were great in number, and naturally the question was asked
whether the coronal streamers did not originate with greater
energy when spots were at a maximum. Here was an oppor-
tunity to test any conclusions, for Wolf's sun-spot number
for July 1878 was o.i, representing a minimum of spots,
while the number for December 1870 was 135.4, a time of
maximum of spots.
In the state of Colorado the moon's shadow path crossed
the Rocky Mountains. Pike's Peak (altitude 14,400 feet)
was occupied by Professor Langley and party. At their
station before the day of the eclipse there was hail, rain,
sleet, snow, fog and every form of bad weather which con-
tinued for a week, and to add to the discomforts, the horrors
of mountain sickness had to be overcome. But on July 28,
the weather conditions along the eclipse track were of the
very best.
The first change noted in the corona of 1878 was the
enormous decrease in total lustre, when compared with the
coronas of 1870 and 1871, Harkness estimating the
152 ECLIPSES OF THE SUN
luminosity to be only one-seventh of the corona of 1870,
while Lockyer regarded 1878 to be one- tenth of the bright-
ness of the 1871 eclipse. The decrease in brilliancy was
accompanied by a remarkable and unexpected change in
shape. To Janssen in 1871, the dark moon looked like the
center of a giant dahlia, the corona being nearly circular in
outline. In 1878, the streamers along the sun's axis were
much shorter in length but much more pronounced in char-
acter, these polar rays resembling more than anything else
the lines of force around a magnet. But the most astounding
phenomenon was the enormous extent of the coronal stream-
ers along the sun's equator. Langley in the pure, rare air
of Pike's Peak followed these streamers to six diameters of
the moon on one side, but on the other side where he had
been more intently watching, to the colossal length of twelve
diameters, or more than ten millions of miles! These
equatorial extensions were confirmed by Simon Newcomb in
Separation, Wyoming, by Cleveland Abbe farther down the
slope of Pike's Peak, and by almost every astronomer who
witnessed the eclipse. The perplexities surrounding the
corona were accordingly multiplied many-fold, for how-
could a solar atmosphere obeying gravity exist at the huge
distance of ten million miles from the sun's surface? Young
and Abbe saw long faint beams shining along the sun's
axis.
Remarkable as were the visual phenomena manifested,
their testimony was no whit stranger than the revelations
by means of the spectroscope. The hydrogen and green
coronium emission lines were visible, but with such vastly
diminished intensity compared with the eclipse of 1871 that
most observers completely missed seeing them. They were,
however, visible to Young, Eastman and some others. If
the emission lines were weak, the Fraunhofer lines of the
corona were comparatively strong, showing that the re-
flected light near the sun's limb was relatively stronger than
in 1871, a fact confirmed by observations with the polari-
scope.
The eclipse of 1878 showed the long equatorial wings
of the corona, strong polar brushes, faint incandescent light
ECLIPSES AFTER 1878 153
of coronium and hydrogen, and light reflected strongly
from material particles near the sun's limb. Were each of
these four special features unalterably connected with the
condition of the sun-spot minimum, or did they happen
merely by chance? Time alone could furnish the answer.
Great progress was made at this eclipse in the photography
of the corona, particularly by the use of portrait lenses which
were successful in portraying a mass of detail in the inner
and brighter corona, but failed to show the outer streamers.
Photographs of these faint extensions must needs wait
until some date in the future when plates of greater sensi-
tivity could be produced.
Another important observation at the eclipse of 1878 was
the discovery (?) of two bright star-like objects by two
American astronomers, Swift and Watson. The objects
could not be identified with any of the fixed stars, and it
was therefore necessarily assumed that they were small
planets moving about the sun inside of the orbit of Mer-
cury. The reputations of these two astronomers for care-
ful observing were so great that it cost the science of as-
tronomy a quarter of a century of eclipse observations
before it was finally decided that no intra-Mercurial planets
exist which are as large or as bright as the objects supposed
to have been seen.
The next eclipse to be observed was that of May 17,
1882, the forerunner in the Saros of the eclipse of May 28,
1900. The 1882 eclipse was seen in Egypt with a brief
duration of totality amounting to seventy-four seconds.
This eclipse is memorable on account of the bright comet
that was seen and photographed near the sun, the comet
not being observed either before or after the eclipse. The
photographic plates had now become more rapid, the dry
plate having been invented, and accordingly the astrono-
mers had to their hands better facilities for attacking the
corona with camera and spectroscope. Also for the first
time we hear of the prismatic camera, which is a slitless
spectroscope, with a photographic plate to take the place
of the observing eye-piece; and this instrument, particu-
larly in the hands of Lockyer, was to play an important role
154 ECLIPSES OF THE SUN
in eclipse spectroscopy. Eleven years having elapsed since
1871, the year 1882 was one of maximum sun-spots, there
being no less than twenty-three separate spots on the face
of the sun on the day before the eclipse. The form of the
corona in no way resembled that of the minimum of 1878
but bore a striking resemblance to the crown of glory of
1871, the shape being more nearly rectangular , or even star-
like, and the long equatorial extensions and strong polar
brushes being entirely lacking. The spectroscope also re-
vealed vast differences from the eclipse of 1878. The corona
as a whole was more brilliant than that of the preceding
eclipse, and the emission lines of the spectrum were obtained
both by a slit spectroscope and by the prismatic camera.
With the former instrument, Schuster photographed about
thirty lines in the spectrum of the corona. Many new spec-
tral lines were visible in the red and violet to Tacchini and
Thollon respectively. These lines were seen and photo-
graphed during the progress of totality, and not near the
beginning or end of the total phase. Apparently the lines
did not seem to belong to the flash spectrum and must have
their origin in the true corona. But for the first time a sus-
picion seems to have been aroused that the lines might after
all be due to prominences and chromosphere and not to the
true corona, for Schuster observed the H and K lines of cal-
cium to appear bright even across the face of the dark moon
where no light at all was supposed to exist! Evidently the
chromospheric light was reflected by some atmosphere
somewhere, either in the higher reaches of the sun's atmos-
phere directly in line with the center of the dark moon,
or in the atmosphere of the earth. The first condition could
hardly be possible and that left no contingency other
than the second. Schuster's observation was not the first
to reveal bright lines on the dark face of the moon because
as early as 1870 Young had perceived bright hydrogen lines.
If the lines of emission were stronger in 1882 than in
1878, it was not so with the dark Fraunhofer lines. The
spectroscopes revealed the continuous spectrum in the
brighter inner corona, but farther from the sun the dark lines
due to reflected photospheric light were observed both visu-
ECLIPSES AFTER 1878 155
ally and in the photographs, but these lines were not so strong
as in 1878. Sun-spot maximum appeared therefore to
correspond to a star-like corona, with no polar brushes,
strong coronium and other bright coronal lines, but with the
Fraunhofer lines intrinsically weaker than at sun-spot
minimum.
The direct photographs of the corona by Schuster were
in better definition and showed more details than those of
previous eclipses. In fact, the impressions made on the
plates were so strong that Dr. Huggins obtained the idea
that it might even be possible to photograph the corona
without an eclipse. For observing the prominences without
waiting for an eclipse, the spectroscope had already been
utilized to get rid of the glare of the sunlight in our own
atmosphere. It is not possible to make use of the spectro-
scope in the same manner for obtaining coronal photographs,
for the simple reason that the bright-line radiations of coro-
nium are not sufficiently strong in character to enable the
coronium light to shine in contrast with the enfeebled solar
glare. Many attempts to photograph the corona in full sun-
light were made by a variety of different methods lasting
over a number of years, the astronomers being urged on by
great hopes since the first trial photographs seemed to pre-
dict success. The details of the early work of Huggins, and
the later researches will be deferred until a subsequent
chapter.
One-third of the way round the globe eastwards from the
Dutch East Indies, where the eclipse of 1901, May 18, was
observed, brings one to the middle of the Pacific Ocean.
The eclipse track of May 6, 1883, lay almost entirely across
the water, but fortunately, in its path there was a small coral
reef, only seven miles long, and unknown ten years previ-
ously. The importance of the discoveries of 1882 and the
fact that the eclipse of the year 1883 was of the very long
duration of more than five minutes, attracted to Caroline
Island, astronomers from America, England, France, Austria
and Italy. The great risks taken by eclipse expeditions in
the tropics of being overtaken by clouds was shown in
this eclipse, but fortunately a clear spell between two
156 ECLIPSES OF THE SUN
periods of clouds was experienced. The general features
of the corona greatly resembled that of the year before, the
sun continuing to show many spots. Owing to the long ex-
posures possible, excellent photographs of the corona were
secured, and for the first time in the history of eclipses,
greater extensions of streamers were photographed than
were visible to the eye.
The most important observations were unquestionably by
means of the spectroscope. Up to this time, all observa-
tions during totality had shown a continuous spectrum of
the corona close to the sun, and farther out faint Fraun-
hofer lines, with the bright green line of coronium crown-
ing the whole. According to the dissociation theory of
Lockyer, neither continuous spectrum nor dark lines could
exist there, and " if these statements regarding the corona
were strictly accurate my hypothesis was worthless/'1
Hence, a careful search was made by Janssen for Fraun-
hofer lines. They were found by him in great numbers,
thus confirming the observation of 1882. To make as-
surance doubly sure, the dark spectrum lines in the corona
were successfully photographed. As a result of these ob-
servations, Janssen concluded 2 that " the basis of the coro-
nal spectrum was formed by the complete Fraunhofer spec-
trum, and that, therefore, there exists in the corona, and
above all in certain localities of it, an enormous amount of
reflected light; and since we know that the coronal atmos-
phere is very rare, it follows that these regions must
abound in cosmic matter in the state of solid corpuscles, in
order to explain the abundance of reflected sunlight."
Spectroscopic observations of great interest were made
on the corona by Hastings. He used a 60° prism attached
to a six-inch telescope, there being two totally reflecting
prisms placed outside the slit so that the spectrum of two
opposite sides of the sun could be brought together and ex-
amined by comparison. The observations were confined to
the green coronium line. At the beginning of totality, this
line was 12' in length and very bright on the eastern
1 Lockyer, Chemistry of the Sun, p. .365.
2 Comptes Rendus, 92, No. 10.
ECLIPSES AFTER 1878 157
limb, while on the western limb it was only 4' in length and
comparatively faint. As the eclipse advanced , the inequal-
ity vanished, at mid-totality conditions were equal, while
at the end of totality the lines on the western limb were the
longer and brighter. Such a great change could not be ex-
plained by assuming that the moon in its motion progres-
sively covered and uncovered the bright coronal radiations,
and accordingly, Hastings attempted to explain his observa-
tions on the assumption that the outer corona has no real
existence but that its appearance is caused by diffraction
round the edge of the moon. On this hypothesis, the true
corona is confined to a very narrow ring around the sun,
the light from this inner ring of material substance being
widened by diffraction to form the outer corona which thus
takes upon itself all of the appearances of reality. To the
astronomers who had seen the great extensions of 1878, it
was hard to believe that diffraction of light could adequately
explain the detail of the coronal streamers at the great dis-
tance of twelve diameters from the sun's limb, but it was
equally difficult to understand how luminescence could
exist in a solar atmosphere at the colossal distance of ten
million miles from the sun's surface. If the coronal light
were reflected, it could not be seen unless reflected from
material particles, and if the light were intrinsic, how could
it have any existence in an atmosphere so infinitesimally
rare? The answer given by Hastings denied the solar origin
of the corona, and seemed to be a step backward. Appar-
ently there was no way out of the quandary, but to wait for
future eclipses.
In the attempt to secure information regarding the flash
spectrum three distinct improvements in the line of attack
were inaugurated in 1882: i. Eye observations were no
longer to be trusted exclusively, the spectrum must be
photographed. 2. A grating was used, before, during and
after totality. 3. A moving plate was utilized with an
integrating prism spectroscope to secure photographs before,
during and after totality. The grating showed little in ad-
dition to the H and K lines seen near the limb throughout
totality. The photographs attempting to secure the revers-
158 ECLIPSES OF THE SUN
ing layer succeeded only in imprinting the hydrogen lines
and comparatively few of the brighter lines, in fact the
total number of lines were certainly too deficient to guar-
antee the confirmation of Young's belief that the whole
Fraunhofer spectrum was reversed in the flash spectrum.
The total eclipse of August 29, 1886, was visible in the
West Indies. The energies of many of the observers were
devoted to testing the method of Huggins of photographing
the corona without an eclipse. For this purpose, fifteen
separate photographs were taken on the day before the
eclipse and a series of twenty during the partial phases,
these photographs to be compared with plates obtained
during totality. The conclusions were quite definite, for
not a single one of the coronal details was found on the
plates taken outside of totality, and it seemed therefore nec-
essary to decide that it was impossible to photograph the
corona, except within the limits of a total eclipse, at least
under the conditions of hazy sky and low sun that had pre-
vailed.
Tacchini made a careful comparison of the prominences
observed spectroscopically before and after totality with
those seen directly during the total phase, and he concluded
that all the prominences showed themselves larger and
taller during an eclipse, the upper portions being white in
color when the prominences exceeded i' of arc in height.
The differences of apparent height may find a ready ex-
planation in the effect of contrast with the background, in-
side and outside of totality, but the matter of the color of
the prominences could not be so readily settled. For many
years " white " prominences found a conspicuous place in
spectroscopic literature. Tacchini observed the flash
spectrum visually. Turner attempted to observe changes
in the coronal streamers resembling currents, but obtained
no results of value.
One of the expeditions at this eclipse experienced a series
of accidents due to the unavoidable necessity of employing
volunteer observers as assistants. Some of the incidents
might have been amusing if an opportunity had been af-
forded on the morrow for making another attempt, — but
ECLIPSES AFTER 1878 159
at the rare event of a total eclipse such untoward happenings
are not laughing matters, but become almost tragedies.
Some of these mishaps were: failure to get the sun's image
on the photographic plate in the most important instrument,
the breaking of the polar axis just before totality, in the
next important instrument, the failure of an assistant to
make exposures, the standing of two native policemen in
front of the photometer during totality, the seizure of the
plates by well-meaning but ill-advised customs officials,
thereby causing a delay in the development of the plates
until the following May by which time the plates had
greatly deteriorated. Eclipse observers generally are not
anxious to repeat such a chapter of accidents.
The eclipse of the following year, August 19, 1887, was
one of widespread disappointment, for the projects so care-
fully prepared ended only in failure to secure results, not
through any fault in the plans themselves but on account of
the astronomer's enemy, clouds, which prevailed almost
everywhere. Fine weather, due to holes in the cloudy sky,
prevailed at several of the stations in Russia and Japan,
however, and some photographs and observations of value
were secured.
The year 1889 brought two eclipses, both extensively ob-
served. Here was inaugurated the splendid series of ex-
peditions sent out from the Lick Observatory. The path of
the eclipse of January i crossed Nevada and California, and
the photographers near the line of totality were so well or-
ganized for the work by Mr. Charles Burckhalter that an
excellent series of photographs of the corona resulted.
The best photograph secured at this eclipse, and in fact the
very best obtained at any eclipse to this date, was secured
by Barnard. The equipment was very meager. The largest
lens employed was 3^ inches aperture, stopped down to i^
inches, and of 49 inches focus. Barnard's success depended
on an accurate adjustment of the instrument but more
specially on the skill and care with which the plates were
developed. Barnard was a professional photographer be-
fore he was an astronomer, and he was thoroughly familiar
with the best methods of developing a plate in order to
160 ECLIPSES OF THE SUN
bring forth all of the latent detail. The eclipse of Decem-
ber 22 of the same year was successfully photographed at
Cayenne in the West Indies by the Lick party consisting
of Burnham and Schaeberle. The photographs showed that
changes had occurred in the corona since the eclipse of the
beginning of the year. The earlier eclipse took place near
sun-spot minimum and exhibited the equatorial extensions
of the corona. The eclipse of December 22 is memorable
from the death of Father Perry a few days after the eclipse,
a martyr to the cause of science. This brave man, though
greatly weakened, took part in the eclipse work, and having
found as soon as totality passed that everything had passed
off well, he called for three hearty British cheers, — which
unfortunately he could not himself lead.
The greatest success attended the observations of April
1 6, 1893, largely through the use of apparatus much more
powerful than had ever been employed before at an eclipse.
The most conspicuous advance came to the party from the
Lick Observatory in Chile who used a camera of five inches
aperture and forty feet focus for securing photographs of
the corona. Schaeberle decided to point the objective di-
rectly at the sun and to mount it on one fixed pier and the
movable photographic plate on another, both piers to be
wholly free from contact with the great tube extending
between lens and plate. The slide carrying the photo-
graphic plate was the only moving part, and its motion was
so regulated by means of inclined planes as to give it the
same velocity and direction as the sun's focal image during
the eclipse. The details of erecting this instrument, known
as the Schaeberle mounting, are found in the Contributions
from the Lick Observatory, No. 4. A careful focus was
secured and beautiful photographs were obtained showing
the prominences and inner corona with a definition which
left little to be desired.
Optical power, up to then unprecedented, was employed in
the prismatic camera designed by Lockyer and used by
Fowler in West Africa. The camera had a focal length of
7 feet 6 inches with a prism of 45°, giving a dispersion of
about two inches from F to K. Fowler secured photographs
ECLIPSES AFTER 1878 161
which were supplemented by a series obtained by Shackleton
in Brazil, with the result that the positions of 164 chromo-
spheric lines were measured between F and K. Deslandres,
at the same eclipse, attempted to measure the rate of rotation
of the corona by observing the relative displacement of the
spectra of two regions of the corona at opposite sides of
the sun placed in juxtaposition. A grating spectroscope
was used, and the conclusion reached was that the corona
partakes of the general rotation of the sun. Unfortunately,
there is no justification for this deduction by Deslandres
since the measures made by him were on the H and K lines
which belong to the chromosphere and not to the corona.
One of the most important results of this eclipse was that
it became possible for the first time in eclipse spectroscopy
to separate clearly the spectrum of the corona from that
of the chromosphere, and it was henceforth no longer as-
sumed that a spectral line visible during totality belonged
of necessity to the corona.
The eclipse of 1896, taking place on August 9, was ob-
served by a large number of expeditions. An English party
consisting of Christie, Turner and Hills went to Japan
where also was one from the Lick Observatory and another
American expedition headed by Todd; and also two Japa-
nese parties.
Lockyer went in H. M. S. Volage to Norway where
a large party of seventy-five, including officers and sailors
of the ship, took care of a large and varied program. In
one department of the work, for instance, in the sketching
of the corona, a competition was started on board ship by
thirty-five volunteer sketchers, an artificial corona being ex-
posed to view for 105 seconds, the time of duration of
totality. Sixteen who showed the greatest proficiency were
selected for sketching of the corona on eclipse day. But
alas, for " the best laid schemes o' mice and men," — the
clouds prevailed almost everywhere except where there was
a small English party consisting of Stone and Shackleton.
The latter was successful in timing his observations with
the prismatic camera so well that the long desired photo-
graph of the flash spectrum was at last secured. Although
162 ECLIPSES OF THE SUN
the focus was not of the very finest, still there were shown a
total of 464 lines in the spectrum between F and K. This
photograph, taken by one of Lockyer's assistants, sounded
the death-knell of the dissociation theory, — but Lockyer
still refused to be convinced that the flash spectrum was a
reversal of the Fraunhofer spectrum. His argument was a
very simple one, which was, that between F and K, 5694
Fraunhofer lines were tabulated by Rowland, while in the
eclipse spectra of 1893 there were but 164 lines and in 1896
but 464 lines, consequently showing but three and eight
percent, respectively, of the Fraunhofer lines reversed in
the flash spectrum. Lockyer however failed to draw atten-
tion to the fact that Rowland's atlas was secured with a
much greater dispersion than that used at the eclipse and
with vastly superior definition. Lockyer's conclusion,1 the
result of the spectra at these two eclipses, was that " the
chromosphere is a region of high temperature in which there
is a corresponding simplification of spectrum as compared
with the cooler region in which the Fraunhofer absorption
is produced." The manner of settling the question, the way
of advancement for future eclipses was clearly indicated:
the flash spectrum must again be photographed and with
increased dispersion, and great care should be exercised to
see that the exposures were made at the correct times, with
as good focus and definition as possible.
Such photographs were secured at the eclipse of January
22, 1898, visible in India, where such excellent conditions of
weather were experienced that then partially compensated
for the ill luck of the previous eclipse. The largest expedi-
tion in point of numbers was that under the direction of Sir
Norman Lockyer located at Viziadrug on the West Coast,
the astronomers being assisted by the officers and men of
H. M. S. Melpomene. The program was an extensive one,
embracing visual and photographic observations of the
corona, the most important problem being a spectroscopic
attack on the chromosphere with two large prismatic cameras
of six and nine inches aperture. By these two instruments
about sixty photographs were secured, the exposure times
1 Recent and Coming Eclipses, p. in.
ECLIPSES AFTER 1878 163
varying from i to 59 seconds. These included two series of
ten snap-shots at the beginning and another ten at the end of
totality and a number of exposures of different lengths dur-
ing totality. Christie and Turner, representing the British
Joint Permanent Eclipse Committee, were at Sahdol. Cope-
land was at Goglee, Newall and Hills were at Pulgaon,
Campbell of the Lick-Crocker expedition was at Jeur, while
at Talni was located Evershed and also Mr. and Mrs.
Maunder.
The most important problem was that of the flash spec-
trum, and fortunately, successful photographs were secured
by Fowler and Dr. Lockyer, by Campbell, by Hills, by
Newall and by Evershed.. A discussion of the spectra by Sir
N. Lockyer again confirmed him in the opinion he had held
since 1873, that many strong chromospheric lines were not
represented among the Fraunhofer lines, while many of the
dark . lines found under ordinary conditions in the solar
spectrum did not appear as bright lines in the flash spectrum.
He therefore concluded that the flash did not represent
the spectrum of the reversing layer. It is true that the hy-
drogen series and the helium lines of the flash spec-
trum are not found in the Fraunhofer spectrum, and also
that there are great differences in intensity between the two
spectra, and in a sense therefore one spectrum is not the
exact reversal of the other; but none the less, it is impossible
to reach any conclusion other than that practically every
strong dark line in the solar spectrum is present as a bright
line in the flash spectrum. The matter will be treated more
fully in Chapter XVI. The excellent photographs obtained
by Fowler and Lockyer permitted a discovery of the greatest
value to future scientific development, namely, that " en-
hanced " lines, or those which are relatively stronger in the
spectrum of the spark than in the arc, are specially promi-
nent in the spectrum of the chromosphere.
Exquisite photographs of the corona with the 4O-foot
camera were secured by Campbell, while Mrs. Maunder
with a Dallmeyer lens of only one and a half inches aper-
ture photographed the faint extensions of the corona run-
ning out to nearly six diameters from the moon's limb. The
164 ECLIPSES OF THE SUN
corona of 1898 presented a mixed aspect, a combination
of the polar brushes observable at sun-spot minimum being
combined with the quadrilateral shape of sun-spot maxi-
mum.
One contribution of great importance was the measure-
ment of the wave-length of the green coronium line. For
nearly thirty years since its discovery, it had been assumed
that the coronium line was identical in position with the
chromospheric line at 5316.8 A. Lockyer, Fowler, Evershed
and Campbell independently found the coronium line to be
farther to the violet, at 5303 A. That the value of this
wave-length was now found for the first time, in spite of
observations made at several eclipses, will show more clearly
than words can express that the eclipse spectra prior to 1898
were poor in definition and small in dispersion.
Newall used a spectrograph with two slits with which he
hoped to secure photographs to test the rotation of the
corona. Unfortunately, the slits were placed 8' from the
sun's limb and the coronal light was too feeble to impress
any traces on the plate. Newall observed the corona with
a polariscope while Turner attempted to achieve similar ob-
servations by photography.
A new epoch of accuracy in photographing the chromo-
spheric spectrum having been begun in 1898, it was but
natural that every effort should be made to continue the
success of this work in 1900, in order to secure, if possible,
still greater definition with larger dispersion. The eclipse
track of May 28, 1900, lay over the southeastern part of
the United States, and after crossing the Atlantic Ocean,
passed over Portugal, Spain and Algeria. On account of its
easy accessibility to American and European astronomers
the eclipse was witnessed by a greater number of observers
than ever before in the history of eclipses. Fortunately
good weather was experienced almost everywhere. The
program was a wide and varied one, and it will be possible
here to mention only a few special lines of work and record
the names of comparatively few of the many observers.
Photographs of the corona were taken in numbers to the
hundreds, or even to the thousands, by small, medium,
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ECLIPSES AFTER 1878 165
large and huge sized cameras, the greatest focal length be^
ing that employed by the party from the Smithsonian In-
stitution who utilized a lens of twelve inches aperture and
135 feet focal length. The photographs on this large scale
were in good definition and they showed a great wealth of
detail in the inner corona. Excellent photographs were se-
cured at Wadesboro, N. C., by Professor Barnard and Mr.
Ritchey with a horizontal camera of 61^ feet focus. A re-
production of the exposure of thirty seconds is given on
page 1 64 . This eclipse having taken place near spot-minimum
shows strong polar brushes and long equatorial streamers.
Both in America and in Europe, an extended attack was
made on the flash spectrum by slit spectroscopes, by pris-
matic cameras and by gratings, plane and concave, used both
with and without a slit. The United States Naval Observa-
tory had three stations in the field, at Barnesville, Ga., at
Griffin, Ga., and at Pinehurst, N. C. The three concave
gratings used by Ames, Crew, and Humphreys were each
employed with a slit. The photographs showed nothing.
With plane grating and quartz lens, Huff secured a well-ex-
posed spectrum, — but the focus was not of the very best.
Better results were secured by Frost who used a concave
grating, objectively without slit.
In Europe, Sir Norman Lockyer, located at Santa Pola
in Spain, carried out an extended series of observations
similar in scope to those made at Viziadrug in 1898. The
nine-inch prism was combined with a camera 20 feet in
focal length in order to secure a great linear dispersion in
the resulting photographs for the purpose of measuring the
heights of the various layers forming the sun's chromo-
sphere. Successful photographs of the flash spectrum were
secured by Fowler and Dr. Lockyer, and also by Dyson at
Ovar, and Evershed at Mazapan in Algeria. The latter
station was selected so that it might be as near as pos-
sible to the edge of the band of totality so that the photo-
graphs of the chromosphere might be obtained in high
solar latitudes. Unfortunately, through an error in the
Nautical Almanac, Evershed found himself just outside, in-
stead of barely inside, the path of totality. The series of
166 ECLIPSES OF THE SUN
photographs obtained, however, were of fine definition and
were specially valuable in affording a means of comparison
with photographs of the flash spectrum which have usually
been taken near the solar equator. This comparison shows
that the spectrum of the chromosphere is the same at the
sun's polar regions as at low latitudes, and it appears fairly
certain that the spectrum of the sun's limb is as constant
in character as the ordinary Fraunhofer spectrum. In this
connection it should be borne in mind that Evershed's photo-
graphs showed the flash spectrum where the moon was prac-
tically at grazing incidence with the sun, and consequently
the layer of the chromosphere photographed must have been
very close to the edge of the photosphere.
Fortunately, the Algiers Observatory was in the shadow
track, and here through the kindness of the director, M.
Trepeid, Mr. Wesley was given an opportunity to observe
the corona visually with an equatorial coude of 0.3 meters
aperture. Mr. Wesley's long experience in the study of the
corona had well fitted him for the task of finding out whether
more detail could be observed visually than is portrayed on
the best photographs. The conclusion reached was very
definite that the photograph, if on a sufficiently large scale,
exhibits all of the coronal features that can be seen with
the eye.
Successful polariscopic observations were made by
Turner, Newall, and others. The inner corona showed
marked polarization, a result which was difficult to reconcile
with the absence of Fraunhofer lines in the spectrum of the
corona.
Interesting observations were made by Abbot with the
bolometer in measuring the radiation of the corona at dif-
ferent distances from the sun's limb. Results of great value
were secured, but they showed the necessity of confirming
them by observations at succeeding eclipses.
CHAPTER X
PERSONAL EXPERIENCES IN 1900 AND 1901
first total eclipse witnessed by the author was
I that of May 28, 1900. The moon's shadow path
JL in America traversed the southeastern states from
New Orleans to Norfolk; it then crossed the Atlantic Ocean,
passed over Spain and the Mediterranean and left the earth's
surface at sunset in Northern Africa. Good weather con-
ditions had been predicted on both sides of the Atlantic and
so it was unnecessary for the European astronomers to
travel to America or for the Americans to cross the Atlantic
eastward in order to insure a promise of successful opera-
tions. A few astronomers, however, did make the sea
journey. As an illustration of how little the average
European knows about America — or rather it should be
said, did know of the United States in the year 1900 — it
can be said on good authority that before crossing the
Atlantic to witness the eclipse, the head of one of the ex-
peditions appealed to the United States government for a
guard of soldiers to protect the lives of the party from the
wild natives (sic) of North Carolina. On arriving in New
York, however, the fears were effectually dispelled when
the party found themselves aboard a luxurious Pennsylvania
railroad train and discovered that they themselves, their
baggage and their instruments were routed through to their
destination, — and entirely free of charge.
In view of the accessibility of the eclipse track in the
United States and on account of the fact that it was a very
favorable season of the year for a trip to the South, it was
but natural that such great American institutions as the
Lick, Yerkes and Naval Observatories should send well-
organized expeditions, and that individual astronomers
should gather in great numbers to witness the fascinating
167
168 ECLIPSES OF THE SUN
phenomenon. Most of the American astronomers were
seeing their first eclipse and it might well have been thought
that they would suffer from " nerves " at the exciting
moments of totality; but there were many seasoned veterans
in the ranks, men like Young, Langley and Campbell, who
had witnessed eclipses in foreign lands.
Perhaps the most important part of the program for 1900
was the spectroscopic work. In 1896, after many trials, the
first good photograph of the flash spectrum was obtained by
Shackleton. In India in 1898, as a result of better defini-
tion, the spectrum photographs exhibited a wealth of detail
that added greatly to our knowledge of solar physics. Evi-
dently the procedure for the next eclipse should be the
attempt to secure spectra with increased dispersion, so that
wave-lengths should be determined with greater accuracy,
thus permitting more reliable information regarding the
sources of the spectral lines and rendering more positive
our knowledge concerning motions of rotation of the solar
envelopes. America is the home of the diffraction grating,
plane and concave, brought to such perfection by the refined
labors of Professor Henry A. Rowland of Johns Hopkins.
Among the more powerful instruments brought into service
were three concave gratings, each used with slit, and two
plane gratings each used objectively without slits. Each of
these five gratings were employed in connection with a
quartz lens. Ordinary photographic plates were used, and
as these are but little sensitive to green, yellow and red
light, it was decided to concentrate on the blue and violet
parts of the spectrum; hence the employment of quartz,
rather than glass, lenses. The concave gratings were
mounted in the ordinary Rowland manner in the attempt
to secure sharp definition and large dispersion — but the
dispersion was too great for the light available and no lines
were found on the photographs. Huff obtained well-exposed
plates with a plane grating, but the focus was good for a
short region only near wave-length 4000 A.
The experience gained in 1900 was put to use in the plans
for the eclipse of the following year. On May 18, 1901, the
moon's shadow touched the earth's surface at sunrise on the
THE PASIG RIVER AT MANILA
KRAKATOA BY ITS ERUPTION IN 1883 CAUSED A Loss OF 40,000 LIVES
A COG-RAILROAD AND TREE FERNS IN SUMATRA
THE WATER BUFFALO TAKES His DAILY SIESTA
PERSONAL EXPERIENCES IN 1900 AND 1901 169
east coast of South Africa. After passing over the Island of
Mauritius, the shadow traversed the Indian Ocean at cannon-
ball speed and touched land shortly after noon on the west
coast of the Island of Sumatra in the Dutch East Indies.
After crossing over northern Borneo, Celebes and New
Guinea, the shadow left the earth's surface at sunset far
south of the Philippines. This eclipse was specially im-
portant on account of the very long duration of totality,
six minutes. The location that afforded the best living con-
ditions and promised the greatest success from favorable
weather was the west coast of Sumatra, but such a site
would carry the American astronomers as far away from
home as they could possibly get — half way round the world.
In view of this great duration of totality and the im-
portance of the observations to be attempted, the United
States government, through Congress, appropriated money
to equip and send out an expedition of thirteen members,
two from the Smithsonian Institution, six from the U. S.
Naval Observatory, and five guests of the latter, all of whom
had had eclipse experience in 1900, the author being one of
the five guests. In order to arrive in the East Indies in
plenty of time before the day of the eclipse, May 18, the
expedition left San Francisco on February 16 on board the
U. S. Army Transport Sheridan, en route to Manila. On
the journey westward three delightful days were spent in
Honolulu, viewing the points of interest of that far-off
" Paradise of the Pacific. " At that time the Hawaiian
Islands were cut off from communication with the outside
world, except in so far as news was brought by steamer, for
there was no cable to Honolulu — and it was before the
days of wireless.
On March 26th, the U. S. S. General Alava left Manila
to carry the expedition the remaining 2200 miles to the
west coast of Sumatra where it was intended to locate for
the purpose of the eclipse observations. After coasting
along the Philippines and the north shore of Borneo, the
equator was crossed on March 3ist. Father Neptune came
on board, and the reception to him was right royally given
by the man-o'-war's men. April 2nd found us in the straits
170 ECLIPSES OF THE SUN
of Sunda which separate Java from Sumatra, and the ship
passed within half a mile of the island volcano Krakatoa
whose eruption in 1883 resulted in the loss of 40,000 lives.
The huge tidal wave following the explosion, which inundated
the whole surrounding country, left a Dutch man-of-war high
and dry a mile and a quarter inland, and 76 feet above high
water mark ; and this wave was felt even in the English Chan-
nel, 11,000 miles away. The air wave sent out by the erup-
tion was traced by barometers through seven complete cir-
cuits of the earth. Fine particles of dust were shot up to
enormous distances in the atmosphere, causing the brilliant
sunsets noticed for many months in 1883.
After coasting along the west of Sumatra, we entered the
pretty little land-locked harbor of Emma Haven, probably
the first American government ship that had ever entered
port there, and were then at the end of our sea voyage of
over 1 0,000 miles.
After official calls on the governor of that peaceful Dutch
colony, we proceeded to Padang, the capital, just four miles
distant, and obtained our first view of the island which was
to be our home for the next two months. First impressions
were formed at the Oranje Hotel, a typical hostelry of the
East. The building, half hidden by cocoanut and tropical
palms, is of one story with high thatched roof. At the front is
the wide open verandah — the parlor and reception room
of the hotel — and back of this, running through the middle
of the building, is the dining room. On either side are the
spacious bed rooms, each with its wide verandah — exceed-
ingly inviting places in the hot afternoons. The bed is the
chief curiosity to the American, for it is a four-poster, with
finely-figured mosquito net and of the huge dimensions of
7x8 feet. Over the mattress is spread a daintily embroid-
ered sheet, but there are no bed-covers — and indeed, under
the equator, few blankets are needed. Of pillows, there are
several, the ordinary bed having four and two " Dutch wives "
— the name given to a long bolster used to keep the occupant
of the bed cool.
A day in the East is begun by awaking about six o'clock.
Coffee is immediately brought by the jungus — for no white
PERSONAL EXPERIENCES IN 1900 AND 1901 171
man does any manual labor, and each has his native valet
— and then, clad in pajamas, one risks the bath. Such a
thing as a bath tub is unknown, the bath being taken in a
cemented room with a cistern of water at the back, over
the top of which is placed a wire screen to keep out inquisi-
tive foreigners. Dipping water through a rectangular open-
ing in the screen by means of a bucket, and throwing it over
oneself, constitutes the bath — and a very excellent one it
proved to be. After leisurely dressing (for no one is ever
in a hurry), a light breakfast is partaken of, consisting usu-
ally of bread and a few cold meats. The men come to break-
fast dressed for the business of the morning, in their white
suits, or often in their pajamas, consisting of trousers of
cotton stuff of the most marvelous colors and patterns, and
a coat or kibaya of white, made after the Chinese style
without collar. But how tell of the dress of the ladies? For
they appear at breakfast in costumes in which an American
girl might be ashamed to be caught in her boudoir: a native
skirt or sarong reaching to the ankles made of picturesque
cotton stuff, and a lace-edged linen jacket. This is the dress
of the native women who wear neither shoes nor stockings.
The Dutch women have adopted their costume in toto, except
that they usually add a pair of gold embroidered slippers.
After breakfast, the serious business of the day is taken up
until it is time for the midday meal, or rijsttajel. This, as the
name signifies, is largely made up of rice — and it is a most
astonishing meal. Into a large soup plate is put a liberal
supply of splendidly cooked rice, and on top of this, chicken,
meat, potatoes, and portions of fifteen or twenty curried
dishes. It makes an astounding looking mess, but after a
little experience in selecting the proper proportions and
combinations of the curry and spices, the whole makes a very
palatable dish. This is only the first course, to be followed
by potatoes fried in cocoanut oil, and excellent chicken, with
a third course of fruit. The next two hours of the day are
universally given up to the siesta. About four o'clock, the
East again awakes, and after a cup of tea or chocolate, takes
another bath and dresses for the afternoon. The Dutchman
seeks his club and plays a game of billiards or cards. Games
172 ECLIPSES OF THE SUN
requiring much exercise do not find favor in his eyes, but he
has a taste for horse flesh, breeds most wonderful little ponies,
and is always riding or driving. The ladies now appear for
the first time during the day in European costyme ; and the
hours before late dinner are given up to social functions. If
these are of a ceremonious nature, the men must wear a black
tail coat, and at least carry a hat, even if it is not worn.
A nice little informal gathering takes place before dinner
each evening on the hotel verandah, where the men drink
their pitje of gin and bitters, furnished by the hotel to all
comers. Dinner at 8:30 or 9:00 has nothing remarkable
about it, being very similar to our own. As soon as dinner
is over, negligee is resumed, and the day is at an end.
Within a week there arrived in Padang two other parties
besides our own from the United States, and scientists from
England, Holland, France, Russia, Japan, and even India,
about eighty astronomers altogether from all parts of the
world, all bent on learning something about the sun.
The Dutch were very kind and generous in their treat-
ment of the foreign scientists, and did everything in their
power to make the two months' stay in their island as easy
in becoming acquainted with strange conditions and as en-
joyable, as possible. Passes were furnished to each astrono-
mer for passage over the " Staatsspoorweg op Sumatra/' the
railroad owned by the government which runs from Padang
into the interior about 100 miles, one spur reaching Fort de
Kock, the other Sawah Loento. These passes included not
only the transportation of our persons, but also of freight
and baggage, which is not carried free in the island. Labor
was largely furnished without cost, machine shops were put
at the disposal of the astronomers, and their slightest wish
was readily met and generally anticipated. In short, these
Hollanders were perfect models of hospitality.
In a few days after arrival, the astronomers had separated
to the different locations determined on as bases of opera-
tions. The English divided into two parties, one going to
Sawah Loento, where were located Mr. and Mrs. Newall,
the other to an island off the coast of Sumatra where the
party under Dyson could have the assistance of the officers
PERSONAL EXPERIENCES IN 1900 AND 1901 173
and men of H. M. S. Pigmy, detailed there to help in the
observations. The Dutch located not far from this island
but on the mainland, and the astronomers had the help of
the gunboat Sumatra. Perrine of the Lick Observatory of
California decided on Padang as likely to be most favorable
for his researches.
The Naval Observatory divided their party into three sec-
tions, and decided to locate along the line of the railroad.
The engineering principles under which this road was con-
structed were marvels of simplicity. If a small hill was met
in laying out the line, the rails were laid over it, if the hill
proved too steep for this, the tracks went around it. As the
road starts from sea level and reaches an elevation of 4,000
feet in less than 100 miles, following a valley between moun-
tains of 9,000 feet, there are many steep grades and sharp
curves; in fact, for half the distance it becomes a cog road.
But it is one of the most picturesque routes imaginable,
running now through the green rice fields, now past fields
ready for the sickle — for there are no seasons, and sowing,
reaping, and threshing may be under way in the same field
— now through a grove of cocoanut and banana palms, and
again through a dense tropical jungle, where a dozen chatter-
ing monkeys scared up by the train go swinging away from
limb to limb. On our first trip over the road we had just
come to a bridge and were going down a steep grade when
the Malay brakeman in some way lost his headgear. While
we sat there for half a second wondering what he would do
— for we had never seen a native without his topi — he
solved the difficulty by jumping off the train, running back
after his cap, and after a short run of 50 yards, catching the
train again, which all this time was moving at its usual
speed. At one of the stations where we got off for a few
minutes to look around, we were immediately the center of
a large crowd of most curious natives. They offered us
bananas — pisang as they call them — and oranges, mostly
green in color, little pieces of sugar-cane on slivers of wood,
and many strange and wonderful looking messes. They
eyed us with much wonder, and attempted a few words in
Malay, which we however understood about as well as they
174 ECLIPSES OF THE SUN
did our English. In a few days however, they became ac-
quainted with our mission, and spoke of us by the Dutch word
"Zoneclips," while we, on the other hand, learned to make
ourselves understood in Malay.
It was necessary to select the three Naval Observatory
eclipse stations on the line of the railroad, on account of
the difficulty of transporting heavy instruments and supplies
into the interior. At Fort de Kock, near the edge of the
moon's shadow path, three members under the direction of
Professor W. S. Eichelberger, U. S. N., investigated the
corona and the atmosphere of the sun with photographic
telescope and spectroscope. At Solok, the main station of
the party was located under the direction of Professor A. N.
Skinner, U. S. N. Here was Professor Barnard with a pho-
tographic telescope of 6i^-foot focus, which would give an
image of the sun about seven inches in diameter. Barnard
planned to give several short exposures, together with a single
exposure of two and a half minutes, on a plate 40 inches
square, hoping thereby to obtain some exquisite details of the
corona. At Solok were also located several spectroscopes
under the supervision of Jewell who was engaged in various
interesting objects of research.
Abbot of the Smithsonian Institution was investigating
along two separate lines; first, with four telescopes mounted
so as to photograph a large region in duplicate in the vicinity
of the sun, he was attempting to discover new members of
the solar system revolving inside of the orbit of the planet
Mercury (if there be any such objects). His second task
was a plan for measuring the heat of the corona and of the
dark side of the moon turned towards us with the delicate
bolometer, which is in reality nothing but a very sensitive
thermometer capable of detecting the heat of an ordinary
candle at the distance of five miles and of measuring dif-
ferences of temperature to the one-millionth of a degree.
The author was in charge of the U. S. Naval Observatory
party at Sawah Loento at the terminus of the government
railroad. The sawah, or irrigated rice-fields, is one of the
prettiest sights imaginable. These fields are usually on the
side of a hill, for the west coast of Sumatra, where the as-
PERSONAL EXPERIENCES IN 1900 AND 1901 175
tronomers were located, is extremely rough and rugged.
The sides of the hills have been terraced in order that the
water may flow from one level to the one next lower, the
enormous amount of manual labor required to make these
terraces being for the most part performed by the women.
The rice grows under water, but artificial irrigation is not
needed, for it rains almost every day, not merely a shower,
but with an average fall of half an inch for every day of the
year. A view of these rice terraces with their vivid tropical
greens — and such brilliant color is never seen in the tem-
perate zones — is certainly a magnificent sight. All trace of
the sawah, however, has departed from the village of Sawah
Loento, and its place has been taken by the Ombilian Coal
mines, belonging to and operated by the Dutch government,
which are remarkable for having a vein of rich coal forty
feet in thickness.
The elevation of the railway station at Sawah Loento,
according to the Dutch maps, is 262 meters above sea level,
or 859 feet. The height of the eclipse station above this
was measured by means of an aneroid barometer as 400 feet,
which therefore made the elevation of the eclipse camp
about 1,260 feet above sea level. A short distance away
was the expedition from the Massachusetts Institute of
Technology consisting of Burton, Hosmer, Harrison Smith
and Matthes.
The solar problems to be investigated by the Naval Ob-
servatory party at Sawah Loento were along two separate
lines: to photograph the corona with a camera 104 inches
long, with lens six inches in diameter, and secondly, to
photograph the spectrum of the chromosphere with a plane
grating and quartz lens, used objectively without slit. To
mount the instruments, piers of brick were constructed.
Tents were used as coverings for the instruments, with an
extra one for a storehouse, four tents altogether being set
up. As the Boston party had reached Sawah Loento about
ten days before us, they had learned to some extent the best
way in which to proceed. The benefit of their experience
was freely imparted, and much valuable information cheer-
fully given. To Meinheer van Lessen, the chief engineer
176 ECLIPSES OF THE SUN
of the coal mines, many thanks were due for the very gen-
erous way in which he looked after the supplying of all
building material. The bricks, made near the coal mines,
were transported to the eclipse location in three stages ; first
by rail to the residence of the controller; second, by the
slow-moving "kreta kerbau," drawn by the sturdy water-
buffalo; and third, for the remainder of the distance, about
a third of a mile, by coolies. The slowness of the last part
of the operation can perhaps be imagined when it is stated
that in a basket slung on a bamboo pole on the shoulders
of two coolies, five ordinary sized bricks would be carried.
This was indeed the minimum load, but the maximum was
never more than ten. It was very interesting to see six coolies,
using three bamboo poles, carrying a barrel of cement. The
coolies provided were convicts. The way in which the Dutch
East Indies treat their prisoners is one of the interesting fea-
tures in the management of the Malay. If a native of Su-
matra commits a crime, he is sent to one of the other East
India islands ; and similarly natives of the other islands are
sent to Sumatra to serve out the terms of their punishment.
Consequently, in a penal settlement in Sumatra are natives of
Java, Borneo, Celebes and of some of the smaller islands, but
no Sumatrans. The reason for this strange separation is that
there is great enmity between the different races, and so if a
Javanese prisoner tries to escape he is immediately appre-
hended by the first Sumatran who meets him and sent back.
And thus it is that there are large penal settlements with no
surrounding walls and very few guards.
Such a settlement was at Sawah Loento. The convicts, to
the number of 3 ,000, were employed in the coal mines. There
was no guard over them except the " mandur " or policeman,
one of themselves raised to a position of authority and
responsibility, and answerable for the conduct of the
coolies under him. Notwithstanding these conditions, one
could go around with perfect safety and with less fear of
molestation than in New York City. In fact, the pistols
we had brought, with which to defend ourselves from canni-
bals, were soon packed carefully away in the bottom of our
trunks.
A SUMATRAN BEAUTY
MARKET SCENE IN SUMATRA
SUMATRAN MOTHER AND HALF-CASTE DAUGHTERS
EAST INDIANS IN PICTURESQUE GARBS
PERSONAL EXPERIENCES IN 1900 AND 1901 177
In order to make the convicts more satisfied with their lot,
the Dutch authorities paid them the amount of seven cents
Dutch money, 2.8 cents American, per day. There seemed
to be a great amount of sickness among the convicts, pos-
sibly due to their confinement in the hot country, and several
hundred of them were in hospitals or were put on sick duty
without pay. These coolies were provided for us by the con-
troller free of charge, and we were able to have about as
many as we needed. They were very slow and not over fond
of work, but nevertheless they could carry bricks about as fast
as our Malay " tukang " could lay them. He used to squat
at his work, and it took five days for him to lay 2,200 bricks.
But the piers were finally built, the tents raised, and the in-
struments gradually mounted.
The day of the eclipse dawned clear, and our hopes were
that these favorable conditions would remain until after
totality, which occurred shortly after noon. First contact
was observed in a perfectly clear sky, but soon after this,
clouds began to gather, and a quarter of an hour before second
contact the sky was completely overcast.
The disappearing crescent of the sun was observed with
a binocular before one barrel of which was arranged a small
plane grating in such a way that with one eye the spectrum
could be seen, and with the other eye the sun itself. With
this, shortly before the time of second contact, bright lines
were seen for a few seconds at F and H and in several places
in the green and yellow, but these disappeared almost at
the instant of being seen, the sun being completely hidden
by clouds, and the flash passed without our being able to see it.
Toward the middle of totality, conditions became a trifle
better, so that it was possible to see, through clouds, the
corona extending for about half a diameter from the sun,
and with the small spectroscope to trace the form of the
coronium line quite distinctly. During no time of the Sm 41"
of totality was an unclouded view of the corona obtained,
but nevertheless, the clouds were so thin at the end of totality
that the second flash was beautifully seen.
One hour after the total phase the clouds cleared away
and a perfect sky remained for the rest of the day. Alas!
178 ECLIPSES OP THE SUN
that the eclipse did not occur at one o'clock instead of
twelve !
The pre-arranged program was carried out, however, in its
entirety as if it had been clear.
Powerful spectrographs were used also at the two other
Naval Observatory stations. At the main station near Solok,
Jewell had a concave grating, but as the result of the ex-
perience in 1900, the instrument was used without a slit.
Dinwiddie had a prismatic camera under his care, a single
large prism of 60° angle, kindly loaned by the Smithsonian
Institution. Near the edge of the moon's shadow-path at
Fort de Kock, Humphreys had a huge concave grating of
nine inches aperture, with lines three inches in length and a
radius of curvature of thirty feet. This was the largest
grating ever ruled on Rowland's dividing engine and it was
constructed specially for the purpose of this eclipse. It was
not a perfect specimen of a grating for the diamond point
had broken down during the course of the ruling. This
station was purposely located near the edge of the shadow
in order to photograph the low-lying layers of the chromo-
sphere. Weather statistics did not promise favorable skies
at Fort de Kock — but strange to relate, it was the only
locality in Sumatra where astronomers were stationed that
clouds were not experienced. The main station at Solok
was far from being fortunate, and the astronomers there suc-
ceeded in getting — almost nothing, so dense were the clouds
throughout the whole of totality.
From Jewell's many years at Johns Hopkins University,
working as assistant to Rowland, he had had vast experience
in the development of spectroscopic plates, and hence the
task of developing the precious negatives secured was handed
over to him. While this was being done, and while the instru-
ments were being dismounted and boxed and crated for their
long journey home, we had some days to look around and
observe the manners and customs of the people. The natives
are all of them frightfully lazy — or shall we say only tired?
But it is the same disease that afflicts the natives all through
the East. The Filipinos are troubled in the same manner, a
similarity not to be wondered at, for Sumatrans and Filipinos
PERSONAL EXPERIENCES IN 1900 AND 1901 179
both belong to the same great parent family. It was prob-
ably for this reason that the natives of the Dutch East Indies
were so interesting.
The Malay is naturally a man of easy-going, indolent
character, who never gives open expression to a sense of as-
tonishment or fear, and is probably little affected by these
feelings. When alone, he is gloomy and taciturn, never either
singing or talking to himself. The upper classes are exceed-
ingly courteous, yet this outward refinement, strange to say,
co-exists with the most pitiless cruelty and contempt of hu-
man life, traits which belong to the dark side of their char-
acter ; and herein lies the explanation of the many diametri-
cally opposed judgments which have been given us of the
native of the East. There is another trait we must not for-
get, and that is an insatiable love of gambling which no laws
seem to be able to suppress.
These are the characteristics of the Malay, but they de-
scribe the Filipino just as accurately as they do the native
of Sumatra. We were almost two months in Sumatra and
in that time were thrown constantly with the natives who,
as servants and coolies, were used continually. It became
necessary to learn Malay and speak it ; this however proved
not to be a very difficult task as the language contains neither
declensions nor conjugations.
The horned-roofed houses were very picturesque, and near
Fort de Kock one of these was seen being modelled in gold
and silver filigree work (at which the natives are very skill-
ful), for a present from the colony to the Queen of Holland,
to whom they are very loyal. The natives have a pretty
legend, the Menangkarbau, about the origin of the horn-
shaped roofs. This relates that there was once eternal
enmity between the Javanese and Sumatrans, first one side
conquering and then the other, and it seemed likely that the
bloody conflict would continue without anything ever being
decided. Finally the sages of the two peoples hit upon a
plan to the effect that each nation should choose a champion
from the animal world, that these should meet in mortal
combat, and that whichever animal was victor, that nation
was to be considered the conqueror for all time. The Java-
180 ECLIPSES OF THE SUN
nese chose a vigorous young tiger, under the impression that
their champion surely could not be beaten, while the fore-
fathers of the Sumatran natives picked a strong two-year-
old karibou bull. Fancy, if we can, the two tribes in half
circles meeting to see the fray, the shouts of rejoicing on one
side and the woes of the other when the karibou succeeds in
using its horns to such advantage that the tiger is killed. To
perpetuate this victory, the Sumatrans forever after build
their roofs to show the karibou horns. Usually the roof has
one pair of horns, but it may have two or three pairs, the extra
pairs, we are told, signifying that a daughter is married in the
house. For the family in Sumatra is maternal, with the
mother as head of the house, so when a daughter is married
she brings her husband to live in her mother's home. Strange
to relate, this form of family government coexists with Mo-
hammedanism, where a man may have three or four wives.
In such cases, however, we were never given to understand
just how a man divided his time, and how he could live peace-
ably with so many mothers-in-law. Women do most of the
work, till the soil, gather the crops, thresh the rice and carry
all the burdens, while the man evidently considers himself a
superior being and succeeds in doing very little work. No
wonder then he has three or four wives to work for him !
The Dutch have kept the original tribal relation and each
tribe still has its chief, who is however, little more than a
figurehead. Each man is required to perform one hundred
days labor each year for the government, and as a great
amount of this is put on the roads, excellent carriage roads
appear even in almost inaccessible parts of the island. The
principle under which the Dutch run their colonies has, by
some writers, been described as merely for the purpose of
making money out of them, and hence it has been the policy
to keep the natives from becoming educated or Christianized,
to keep out European immigrants and capitalists and to pre-
serve the whole trade as a monopoly of the home government.
And so we hear of the " culture system/' but the products
under the " system " have gradually been reduced, until now
in Sumatra the chief ones are coffee and tobacco — and who
has not heard of " Sumatra wrappers "? Natives are obliged
PERSONAL EXPERIENCES IN 1900 AND 1901 181
to plant a certain number of coffee trees each year, and sell
the product at a fixed rate to the government. The Dutch
have, however, been exceedingly successful in keeping the
Malays docile and contented, and it might be well for the
Americans to study the results of these three hundred years
experiment on Malays of exactly the same characteristics as
the Malays in the Philippines, the Filipinos.
After traveling half way round the world in search of
knowledge, to have cloudy weather during the precious six
minutes of the eclipse was indeed heart-rending, and the
majority of the astronomers were pretty blue as a result.
But when the plates came to be developed — and what a
boon the photographic plate has been to the astronomer
— it was found that the clouds had not interfered quite as
much as expected. And so, down on the coast, Dyson and
the Dutch parties, with the assistance of their warships, suc-
ceeded in getting, with telescope and spectroscope, some
really excellent photographs of the corona and " flash." The
corona could not be traced a very great distance from the
sun, but many exquisite details were seen in the inner corona.
At Padang, Perrine of the Lick Observatory had the same
kind of cloudy weather as experienced by nearly all the
other scientists, yet the results of his work were very satis-
factory in spite of the clouds. The photographs of the corona
taken with the 4O-foot photoheliograph, like those of the
English and Dutch parties, showed splendid detail in the inner
corona, but they were particularly interesting from an ap-
pearance in the northeasterly portion of the corona, as if an
explosion had taken place. Perrine later found that this
remarkable disturbance was immediately above the promi-
nent and only sun-spot visible during eleven days, thus show-
ing an intimate connection between sun-spots and disturb-
ances in the sun.
The three parties at Sawah Loento suffered likewise from
the clouds. The main work of Burton and his party from
the Massachusetts Institute of Technology was investigat-
ing the magnetic disturbances while the eclipse was in prog-
ress; this work, however, could be carried out as well in
cloudy weather as in clear. The Boston party found the
182 ECLIPSES OF THE SUN
disturbance not so great as at the eclipse of 1900. Newall
of Cambridge, England, had a very complete spectroscopic
program to carry out, including many interesting researches,
among which was an attempt to measure the velocity of rota-
tion of the corona and to see whether or not this halo shines
by its own inherent light.
The few days previous to departure were spent at Padang
where we had the pleasure of meeting many of the visiting
astronomers whose accommodation taxed to the utmost the
capacity of the leading hotels, the Oranje and the Atjeh. On
the evening of May 27, the United States consular agent gave
a dinner and farewell ball in honor of the American astrono-
mers and naval officers. Many prominent people were pres-
ent, including Governor Joekes, also the officers of H. M. S.
Pygmy. After the ball was over, the author slept in one of the
beds of the Oranje Hotel with Professor Barnard, Dr. Abbot
and one other. Our ship, the U. S. S. General Alava, had
waited in Emma Haven to carry us back to Manila and we
sailed at 10 A.M. May 28 on our homeward voyage. The
eclipse of 1901 was a thing of the past! On June 8 we en-
tered Manila Bay through the north channel, the Boca Chica,
and anchored off Cavite. After a fortnight's wait in Manila,
we sailed aboard the U. S. Army Transport Indiana, and
reached San Francisco on July 16, five months from the day
we had departed.
What scientific results had been obtained from the long
journey and the many months spent away from regular
duties? When the photographic plates were studied in de-
tail it was found that much of great value had been secured
in spite of the clouds, and as a result the Sumatra eclipse
had contributed some very important information regarding
the problems of solar physics.
CHAPTER XI
THE SPANISH ECLIPSE OF 1005
next eclipse to be widely observed was that of
August 30, 1905. On this day the eclipse began
in Manitoba and, after crossing through Northern
Canada, it left Labrador about 8 A.M. on its trip across the
Atlantic. Shortly after noon the shadow cut into Spain,
then on through the Mediterranean, Northern Africa and
Egypt, leaving the earth's surface at sunset on the coast
of the Indian Ocean.
Spain was chosen by the majority of astronomers, both
because the duration of totality was longer, and because the
promise of good weather conditions was better; and here in
a path one hundred and twenty miles in width running diago-
nally across the peninsula, hundreds of astronomers, Ameri-
can and European, were gathered.
The party sent out by the United States government was
under the general direction of Rear-Admiral Colby M.
Chester, U. S. N., superintendent of the Naval Observatory.
Three men-of-war were furnished by the Navy Department
for the purposes of the expedition, the U. S. S. Minneapolis,
U. S. S. Dixie and U. S. S. Caesar, the first named being the
flagship of the squadron.
The three vessels left separately from the United States
about the end of June and met in Gibraltar about the middle
of July. " Gib " is one of the most interesting places in the
world, especially when entering on a naval vessel. It was
a glorious sight, as we steamed in at dawn on board the
Minneapolis, to behold the wonderful rock and, sheltered at
its base, the Mediterranean squadron of the British navy,
consisting of eight battleships and eight first-class cruisers,
under the greatest of English admirals of the time, Lord
183
184 ECLIPSES OF THE SUN
Charles Beresford. The morning of our arrival was spent
in firing and acknowledging thunderous salutes, and in mak-
ing official calls. To carry out properly these acts of courtesy
between the American and British nations, it was necessary
to fire no less than one hundred and fifty-two rounds of am-
munition. On the morning of our second day in Gibraltar,
the British squadron sailed, and it gave us an idea of the
quality of the greatest navy in the world to see the splendid,
seamanlike manner in which the big ships got under way
without confusion, and one by one in perfect order departed
from the crowded harbor.
After leaving Gibraltar and entering the blue waters of
the Mediterranean, the Minneapolis steamed along the coast
of Spain for about four hundred miles and anchored in the
harbor of Valencia, the first American man-of-war to visit a
Spanish port since the Spanish-American War.
It had been decided to divide the Naval Observatory ex-
pedition into three, sending two parties to Spain and one to
Africa. In Spain the parties were located, one at the edge of
the path of totality at Puerto Coeli, and the other near the
central line at Daroca.
Daroca is in the heart of old Spain, about forty miles
from Saragossa, and as a railroad had been there only four
years it was a terra incognita for modern tourists — for
which we were duly thankful. Our six weeks' stay there
was a happy commingling of hard work — and there was
plenty of work to do — with pleasant experiences in getting
acquainted with Spanish life and people. The site for the
town is indeed a peculiar one, in a valley so surrounded by
hills that each heavy rain storm used to flood the city, until
about 1600, a tunnel was constructed through one of the
hills to carry away the waters. The tops of these hills are
crowned with walls and forts, most of them constructed by
the Moors a thousand years ago, some of them by the Catho-
lic Spanish since that time. There is one tower of special
interest, and still in good state of preservation, which is said
to have been built by the Romans before Saguntum was
founded, and it is, therefore, more than two thousand years
old. (The railroad from Valencia passes through Saguntum
FILIPINO HOMES BUILT ON STILTS TO GET OUT OP THE WET
HORN-SHAPED Roors AND HANDSOME WOOD-CARVING IN SUMATRA
THE ROMAN FORT (2200 YEARS OLD) AND MOORISH FORTIFICATIONS AT
DAROCA, SPAIN
AN OLD AQUEDUCT AT DAROCA, STILL IN USE. LOOKING SOUTH TO THE VALLEY
THE SPANISH ECLIPSE OF 1905 185
where Hannibal and the Romans had their memorable fight
in B.C. 238.)
The Spaniards received us with open arms and did every-
thing in their power to assist in our work and to make our
stay in their midst as pleasant as possible. As no one in the
place could speak English, it was necessary to make ourselves
understood in their language.
To help in the erection of the temporary observatory, six
sailors were sent in from the Minneapolis, and all hands,
astronomers and sailors, worked each day from early morn-
ing till late at night, building piers, erecting telescopes with
houses to shelter them, mounting spectroscopes, and fixing
up a meteorological observatory. After the carpenters and
machinists had finished their work of construction, it was
necessary for the scientists to focus and adjust, to see that
everything was in good working order, and to make trial
photographs. A few days before the eclipse, the party was
increased in size to thirty-five, officers and sailors having
come up from the ship for the purpose of assisting in the
observations. Frequent drills were held in order to fa-
miliarize each one with his part and thus to be sure that
everything would go right and that no precious seconds would
be wasted at the time of eclipse.
The location of the eclipse camp was half a mile south of
the town, in the midst of a beautiful, fertile valley. From
there, while we worked, we could catch glimpses of scenery
typical of Spain. The first feature to attract one's atten-
tion is the extremely barren aspect of the country, which
is in sharp contrast with the garden-like appearance of Eng-
land. The hills of Spain were in early times densely wooded,
but now are almost entirely devoid of trees and look from
a distance as if there were not a particle of vegetation on
them. Moreover, the rainfall is so slight that agricultural
pursuits must rely upon irrigation, and thus it is only the val-
leys that are green and cultivated. In such a valley along
the shores of the little river was our eclipse camp located.
The greenest field was decided upon as the site of the observa-
tory, and upon application to its owner for permission we
found that he was quite satisfied to allow his plot of ground
186 ECLIPSES OF THE SUN
to be used, but thought some compensation should be made
for the valuable crop of grass that might possibly be raised
during the summer. On receipt of one hundred pesetas, he
forthwith proceeded to take a fatherly interest in all of our
doing,s, and explained scientific matters to every one as if he
had been chief of the expedition. His field became the cen-
ter of interest in the community, and people came from all
sides to look upon the strange doings. As a prominent trait
of the Spanish peasant seems to be a great and overpowering
curiosity, we had pleny of onlookers; and when the mayor
and a few of the most prominent citizens were invited to look
at the moon through our five-inch telescope, we were rather
surprised — to put it mildly — to find over one hundred peo-
ple turn up, when only a half score had been invited. Their
curiosity took the form only of making each and every one in
the town intensely interested in what was going on, and to
show that interest they turned out in force each afternoon to
see how matters were progressing. It might be asked, what
their attitude was towards these Americans who had so
lately beaten them in the small war. Before the expeditions
reached Spain, it was feared that perhaps there might be
some friction on that account, but these fears were not real-
ized. As a matter of fact, the only person we met who
seemed to have any feeling at all in the matter was a former
soldier in the Spanish army. He had seen service in the
Philippines, had been captured and thrust into prison by the
Filipinos, had been rescued by the Americans, and as a re-
sult he had only the kindest feelings towards everything
belonging to the United States. As for the rest of the peo-
ple, they seemed to have forgotten all about it, or else they
did not know there had been a war, for it must not be for-
gotten that only about one quarter of the people in Spain can
read and write.
After this my third total eclipse, I can confidently say that
observations at such a time consist of much hard work and
many nerve-racking experiences. The astronomer is never
on hand sufficiently long beforehand to take things quietly
and easily, he must work under conditions to which he is
totally unused, and over his head hangs the knowledge that
THE SPANISH ECLIPSE OF 1905 187
everything must be completed by a certain day and a certain
hour, for the eclipse cannot be postponed, and there is no sec-
ond trial in case of failure. In addition to working hard all
day as carpenter and instrument maker, the astronomer must
stay up half the night adjusting his instruments on stars, so
that during the last few days before the eclipse very few
hours of sleep each night are obtained. However, in spite of
the many difficulties that were continually cropping up, the
mounting and adjusting of the instruments was practically
completed by August 25, when our observing party was
swelled in numbers by the officers and men from the Min-
neapolis. From then until eclipse day the time was spent in
putting the finishing touches on the work of adjustment, and
in having frequent drills in order to insure that everything
would go without a hitch.
What was the promise of weather for the important day?
We had been closely scrutinizing the weather each day to
see what conditions we were to expect, and were much
pleased to find that the sky was usually clear just after noon,
the hour when the eclipse was to occur. August 29, how-
ever, had been cloudy all day so that on eclipse day we had
to go to camp early to test our final adjustments, go through
drills once more and to be sure that all the apparatus worked
smoothly. The skies were clear and our hopes for success
were high. Outside the roped-off enclosure, the whole town
of Daroca was assembled, for it was naturally thought by
the people that nowhere could the eclipse be seen so well
as where the astronomers were located.
At 11:52 A.M. a little indentation was seen on the western
limb of the sun, and the eclipse had begun. The skies were
clear with the exception of a cloud here and there, and our
most ardent wish was that the clouds would leave the sun
clear for the next couple of hours. For the first hour that
the moon was creeping over the sun there was nothing of
very great moment to notice, but for the next twenty min-
utes till 1:12, when the sun was blotted out, we were each
of us filled with expectancy, for matters began to take on
a weird and unnatural appearance. The little blotches of
light under the trees, instead of being familiar circles, were
188 ECLIPSES OF THE SUN
little crescents, exact counterparts of the sun itself. The
darkness began to make itself really felt, and without look-
ing at the sun one would know that something out of the
ordinary was happening, for the gloom did not in the least
resemble that of sunset. A hush fell upon the crowd of as-
sembled and talkative Spaniards when, ten minutes before
totality, a big cloud drifted over the sun. Would this cloud
move away? Or were we going to be disappointed? It
hung there for a space of time that seemed to be an age,
while in reality it was only five minutes. It was a big scare,
but when that passed, with a shout from us all, there wasn't
another cloud anywhere to bother us. Seventeen seconds
before the calculated time, with the last disappearing ray of
sunlight, the corona broke forth into view. What a mag-
nificent sight it was shining out with its pale, pearly light
for a couple of diameters round the edge of the sun, with
its streamers and brushes of delicate light! True to pre-
diction, the corona was almost square in shape, and was not
at all alike in appearance to the other coronas the writer had
seen in 1900 and 1901, with their long fish-tail extensions
along the sun's equator and short-curved streamers near the
sun's poles. In the upper left hand quadrant, huge red flames
sixty thousand miles high could be seen with the naked eye,
and these with a closer view with the telescope resolved them-
selves into a forest-like structure. Close to the sun the corona
was very bright, in fact so brilliant that the eye was not read-
ily able to take in all the details of the faint streamers. As a
pictorial effect, without the long equatorial extensions, this
corona was much inferior to the two last ones seen. Still it
was a magnificent sight, and we were more than thankful for
having clear skies for making our observations.
When totality first started we were each and all of us much
too busy to take very much notice of our immediate sur-
roundings or even of the corona itself. We could not help
becoming aware that our Spanish onlookers outside the ropes
were appreciating the show in the skies provided for them
without expense. From the noise made each one seemed to
be telling his neighbor at the top of his voice just how it hap-
pened and what there was worth seeing, and this in spite of
THE SPANISH ECLIPSE OF 1905 189
the fact that the mayor of Daroca had generously provided
half a dozen members of the civil guard to preserve order and
keep quiet. For the first half minute the din was so great
that it was impossible to hear the seconds counted, or to know
exactly when to begin and end the exposures of the photo-
graphs. When the Spaniards had quieted down, after their
first outburst, all that was heard in the eclipse camp was the
steady count of the observer calling out the seconds as they
passed, the quiet words of the observers giving commands to
their assistants and the click, click of the various pieces of
apparatus as exposures were made and plate holders removed.
Everything passed off without a hitch, and with the first re-
appearance of the sun our work was over and we could take a
long breath.
We had been favored with clear skies. How many others
were equally fortunate? It did not take us long to find out,
for the Spanish government had installed right in our camp
a telegraph office, and for fifteen days no less than three
operators were at our service to send and receive our mes-
sages; and for this not a single cent of money was asked
or expected. It was found that fifty miles to the west of
us, at Alhama, where were the observers from the Lick Ob-
servatory under Professor Campbell, there were thin clouds,
while one hundred miles to the east along the Mediterranean
coast, the Englishmen were even more unfortunate in hav-
ing the clouds denser. In the northeastern part of Spain at
Burgos, more astronomers were located than at any one place,
and here too was King Alfonso of Spain. Five minutes before
totality it was pouring rain, but as if by a miracle a little blue
patch of sky appeared, and the eclipse was seen under per-
fect conditions. The weather along the eclipse track was:
in Labrador, cloudy (no observations made) ; in Spain, cloudy
and clear; in the islands of the Mediterranean, cloudy; on
the coast of Africa, slightly cloudy; but farther inland and
along the rest of the eclipse track the skies were perfect. All
three parties of the Naval Observatory were fortunate in hav-
ing their work unhindered by a single cloud.
My own work was entirely spectroscopic. The photo-
graphic plates were developed within the walls of the col-
190 ECLIPSES OF THE SUN
lege of Daroca, and in the long hours necessary for this work
I was greatly encouraged and assisted by my good friend
the rector of the college, Padre Felix Alvirez. Daily inter-
course with this reverend father endeared him to me very
much; and Senors Lorente, Soria and Padre Felix made my
stay in Daroca one of the most interesting spots of my whole
life by the kindness with which they bore my imperfect Span-
ish, by the interesting bits of history they told of Daroca, and
by the deep insight each gave into the courtesy of a Spanish
gentleman's heart. The developed photographs of the flash
spectrum showed exquisite definition over a wide range in
wave-lengths. Evidently I had stored up for myself the ma-
terial for months and years of intensive study, the results of
which will be told in Chapter XVI.
i
CHAPTER XII
THE AMERICAN ECLIPSE OF 1918
HIRTEEN years after the splendid observing con-
ditions of 1905 in Spain I witnessed my fourth total
eclipse of the sun, again as a member of the ex-
pedition representing the United States Naval Observatory.
On June 8, 1918, the shadow of the moon touched the earth's
surface on the Pacific Ocean, far south of Japan. Owing to
the revolution of the moon about the earth and to the rota-
tion of the earth on its axis, the shadow crossed the Pacific
Ocean at a speed of over a thousand miles per hour. It was
well after noon before the shadow reached the American con-
tinent, and the eclipse began in the state of Washington.
Here the width of the shadow was only sixty miles, so that
only those fortunate enough to be within this narrow track
were able to see the eclipse in its totality. The eclipse passed
southeasterly through Washington, Oregon, Idaho, Wyo-
ming and Colorado in succession. In Colorado, the shadow
had dwindled to forty miles in width. After passing through
some of the central states, the shadow left the United States
at Florida and left the earth's surface in the Atlantic, off the
coast of the Bahama Islands.
The eclipse was seen almost exclusively from the United
States, and so it will be known as the American Eclipse of
1918. Since more than half the civilized world was in the
grip of the tremendous war, it was necessary for American
astronomers in the year 1916 and early in 1917 to make
their plans to insure that this eclipse should be well ob-
served. Before our own country had become involved in
the war, Congress had been asked for, and had made, a
special appropriation to defray the expense of equipment
and travel for the party from the U. S. Naval Observatory.
In order to help the astronomers of the country to make
191
192 ECLIPSES OF THE SUN
as intelligent a choice of an eclipse site as possible, the Naval
Observatory, in 1917, had prepared a large scale map of the
United States showing, among other things, railroad lines,
contour lines and the location of towns within the eclipse
track. The city of Baker in eastern Oregon seemed to be the
ideal spot for the government party. The question of clear
skies was the all-important one for the proper location of an
eclipse party, but, fortunately, the U. S. Weather Bureau
had a regularly equipped station at Baker, and a record of
many years7 continuous observations seemed to be the ideal
method of securing the desired information regarding the
probabilities of good conditions on the day of June 8. As
the Weather Bureau promised an absence of clouds and rain
with an abundance of clear skies, Baker was chosen with the
great hope that it would live up to its good reputation in the
matter of weather.
We were in Baker exactly six weeks before eclipse day,
and the time was none too long. The apparatus was sent for-
ward by through freight, and though we greatly feared de-
lays, it arrived safely the second day after our own arrival.
To assist in the work of erecting the apparatus, the superin-
tendent of the Naval Observatory had requested the services
of five sailors from the U. S. Naval Station at Bremerton,
Washington, who were in charge of a chief petty officer. The
sailors were carpenters and machinists who assisted the as-
tronomers in splendid style so that ten days before the eclipse,
when the balance of the party began to arrive, the apparatus
was all erected and partially adjusted, and there remained
only the perfecting of the adjustments in order to be ready
for the all-important day of the eclipse.
For direct photography of the corona, the largest camera
was one of sixty-five feet focal length arranged horizontally,
the light from the eclipsed sun being reflected by a coelostat
mirror. The spectroscopic work of the Naval Observatory
party called for the use of three concave gratings, each used
objectively without slit. The largest instrument was a
twenty-one-foot Rowland grating of six inches aperture and
15,000 lines per inch. This had a spectrum specially bright
in the first order on one side, the grating being kindly loaned
THE AMERICAN ECLIPSE OF 1918 193
by Professor J. S. Ames. Photographic films two by twenty-
four inches were used, and it was planned to work from the
extreme ultra-violet as far to the red as the length of the
films would permit. The second concave grating was of ten
feet radius and 15,000 lines per inch, the grating belonging
to the Naval Observatory. This was used in the first order
and gave the same dispersion as the instrument employed in
Daroca, Spain, in 1905. By the use of special emulsions
kindly prepared by Dr. C. E. K. Mees of the Eastman Kodak
Company, an attempt was made to photograph farther to the
red end than in 1905. The third one was a very short focus
grating of two meters radius and of six inches aperture be-
longing to the Astrophysical Observatory of the Smithsonian
Institution. This grating gave very brilliant spectra but
with little dispersion. The films for this spectrograph were
stained with dicyanine.
Fortunately for the work of preparation, and true to the
prediction of the U. S. Weather Bureau, no rain fell during
the entire stay of the astronomical party in Baker. Accord-
ing to the " oldest inhabitant/' the season was unusually dry
even for eastern Oregon. By some mysterious force un-
known to the astronomers, the eclipse seemed to exert some
potent influence over the weather. At any rate, it was as-
serted by many of the rural papers that no rain could be
expected until the eclipse was over. But if an absence of
rain was experienced there was no lack of clouds, nor were
the clear skies we had been led to expect afforded us. As
the time for the eclipse drew nearer, the continued appear-
ance of clouds began to cause anxiety among us. Would
they interfere with the eclipse, and at the last moment make
all the weeks of careful preparation of no account? If this
had indeed happened, it would not have been the first event
of the kind. Unfortunately for the astronomer, his work
is always at the mercy of the clouds and the weather. But
to have the whole work fail through clouds at the time of
the few precious minutes of the total eclipse — that is in-
deed,the keenest sort of disappointment! Some astronomers
seem to be always unlucky and always experience cloudy
weather on their eclipse expeditions, while on the other hand
194 ECLIPSES OF THE SUN
others are always lucky, and sometimes after all hope is
abandoned, a rift will appear in the clouds and the eclipse
at totality be seen in all its glory. Would we at Baker be
lucky or unlucky, would the clouds interfere or not? Nearly
all the days spent in Baker, according to the classification
of the U. S. Weather Bureau, were actually clear. A " clear "
day is not necessarily cloudless from morning till night, but
rather one when the " sky averages three-tenths or less ob-
scured, from sunrise to sunset." Clouds, however, gathered
almost every day shortly after noon, and this condition was
usually accompanied by very high winds that at times rose
to the strength of a mild gale. The eclipse was to occur dur-
ing the middle of the afternoon, and at this time of day the
skies were generally overcast. These same conditions pre-
vailed over the whole of the western United States along the
path where the astronomers were located. It was well to be
an optimist under such conditions of sky, for the pessimist
became more and more wretched as the day of the eclipse
drew near and his law of averages showed him the almost
certain chance of thinly clouded sky during the total
eclipse.
Fortunately, so far in my eclipse experiences I had been
among the lucky astronomers. In 1900, at my first eclipse,
the weather was ideal — not a single cloud in the whole
sky. In 1901, 1 was a member of a rather large party which
traveled half way round the world, of which only four of a
total of thirteen saw the eclipse, the other nine witnessing the
eclipse eclipsed by clouds. I was one of the fortunate four.
Again, in 1905, there were many clouds which spoiled the
researches of many parties. At Daroca, in Spain, a few min-
utes before totality a dense cloud covered the sun, but it
cleared away before the all-important time and the total
phase was seen through a brilliantly clear sky. Three lucky
chances out of three made a fine average. The hope was
that June 8 would make it four out of four!
By May 30, the whole party had assembled in Baker. A
full week was given up to the final adjustments, and to the
drills that were to play such an essential part in the work
on eclipse day. During the partial phases of the eclipse,
THE AMERICAN ECLIPSE OF 191 s 195
very few observations of importance were to be made; all
observations of value came during the period of totality
which lasted for one hundred and twelve brief seconds. If
a slide of a plate holder should stick in place so that it could
not be removed, or a lens were not uncapped at the proper
time so as to let in the light, the whole work of an instru-
ment might come to naught. On each day of the week pre-
ceding June 8, drills were gone through several times, in
the morning and again in the afternoon. These drills were
so well carried out that on eclipse day each and every one
performed excellently the task allotted to him with the re-
sult that everything passed off without a single hitch.
As the days in June progressed towards the eighth, there
was an air of excitement as each astronomer grew more
keyed up to the task before him. Would Saturday be clear?
But more especially, would the two minutes from 4:04 to
4:06 P.M. be clear? The skies were anxiously watched dur-
ing the last days, but alas ! almost every day at eclipse hour
they were overcast. The optimist reasoned that if it were
cloudy all the days before June 8, then on eclipse day per-
fect weather would surely be forthcoming; while the pessi-
mist on the other hand argued that so many cloudy days
meant still one more of the same character, so there would
be no use trying to do anything.
Saturday, June 8, dawned with the sky overcast with thin,
filmy clouds. The sun was well visible through these clouds,
however, and it was possible to examine again the focus that
had been obtained with the spectroscopes and with a touch
here and a touch there to decide that everything was in
perfect condition. During the morning the drills were again
practised, and these seemed to promise success. The weather
during the six weeks had not held up the work, and every-
thing that thought and work could do seemed now to have
been accomplished. The astronomers who had been on the
ground for the whole six weeks of preparation had the pleas-
ant consciousness that all of their allotted tasks had been
completed, that every little detail had been thought of and
that perfect success would certainly crown their efforts if only
the clouds would clear away. But during the course of the
196 ECLIPSES OF THE SUN
morning/ the clouds grew thicker instead of thinner, and it
did indeed seem as if there was little chance of a clear sky.
The first contact was to take place at 2:30 P.M. Shortly
after noon, the city of Baker took upon itself the aspect of
a holiday. Though the day was Saturday, all stores were
closed from three until five in the afternoon so that every-
one should have a chance to see the phenomenon. Naturally
everyone in Baker wished to go to the eclipse site at the Fair
Grounds, to watch the astronomers at work. At the eclipse
in Spain, this had been permitted with the result that the
whole town had assembled, each inhabitant jostling his
neighbor to get as close as possible, and each apparently
talking at the top of his lungs, with the result that such a
din arose when the eclipse became total that it was impos-
sible to hear the seconds counted off to give warning to the
astronomers when to change their plate holders.
In order that this might not happen again, the residents
of Baker were told that the gates of the Fair Grounds would
be closed, and that absolutely no one would be admitted
within the enclosure, and the mayor of the city sent a guard
of Boy Scouts to see that these orders were obeyed. Most
of the townspeople repaired to the hills to the southeast of
the city from which there could be obtained a fine view of
the valley and the Elkhorn range, and they were directed
to look especially for the shadow of the moon which would
come across the landscape at the speed of thirty miles a
minute or 1800 miles per hour.
No appreciable improvement in the skies was observed
from noon to the time of first contact. Through a thin patch
in the clouds, Mr. Hammond, using the five-inch visual tele-
scope, observed the beginning of the eclipse and made a
record of it. The clouds if anything became thicker after
this so that at three o'clock it was impossible to see even
where the sun was. Little thin rifts appeared at times, so
that it was possible to see the moon encroaching on the face
of the sun. At three thirty, a patch of brilliantly blue sky
was seen off to the northwest and as the precious minutes
dragged along it became evident that the clouds were moving
in such a way that it was quite possible that the blue patch
THE AMERICAN ECLIPSE OF 1918 197
would reach the sun in time for totality. Fifteen minutes
before the total phase the clouds were so dense that had
totality occurred then, the scientific results would have been
nothing; but the blue sky was coming nearer and it might
arrive in time.
Without looking at the sky, one realized that something
unusual was happening. The light of the sun became so fee-
ble that even the birds felt the unnatural aspect of things
and sang their songs as if they were going to rest. The cocks
in the nearby farm crowed. The wind, which was ordinarily
blowing at this hour, was quiet. All nature was hushed.
Even the seasoned astronomers who had seen two or three
eclipses before felt the thrill of the unusual spectacle. And
still the question was, would the clouds clear away in time?
At five minutes before totality the warning signal was
given by Chief Petty Officer Welsch of the U. S. Navy who
was to watch the chronometer and count the seconds. This
signal summoned each man to his post. One last look was
given to the apparatus to see that everything was in place,
the plate holders were adjusted, — and then we waited.
" Two minutes " before was called out, and then " one min-
ute/' still again " thirty seconds " before the expected time of
totality. The clouds by this time had thinned considerably,
the patch of blue sky was only a short distance away. The
plan had been that after the signal of " thirty seconds," there
should be nothing said until the word " Go " told that the
total eclipse had begun. I was to watch for this with a pair
of binoculars, before one glass of which a direct vision spec-
troscope had been arranged. This was the plan followed in
Spain with complete success. But due to the thin clouds at
the beginning, it was impossible to see the spectrum lines
with the spectroscope, and the signal " Go " was actually
given by Mr. Hammond who was using the five-inch tele-
scope. No sounds disturbed the work of the party except
the call of the seconds as the time passed and the brief words
of command and shift of plate holders as each member of the
party did his allotted task. Ten seconds after totality com-
menced, the clouds, thin at the beginning, had still further
thinned, and at mid- totality the conditions were even further
198 ECLIPSES OF THE SUN
improved. What a gorgeous spectacle then met the eye!
The sun was now in a very thin wisp of cloud with blue sky
on either side. Although the cloud would undoubtedly de-
tract from the scientific results, still it greatly enhanced the
pictorial effect. The corona could be seen stretching for a
short distance from the sun's edge, but most remarkable of
all were three great tongues of flame, one immediately at the
top of the sun, one on the left hand edge, and still a larger
one on the right edge of the sun. These shone with a brilliant
scarlet light, and made the eclipse of 1918 memorable as the
eclipse of color. As the end of totality approached the thin
clouds became still thinner, — and two minutes after the
eclipse was over the sun had reached the blue patch of sky.
If the eclipse had occurred only two minutes later, or if the
party had been only half a mile to the northwest, the sky
conditions would have been perfect! If, as I have already
said, the eclipse had taken place fifteen minutes earlier, the
scientific results would have been nothing at all. The op-
timists had won out.
We had indeed been fortunate. But farther west at
Goldendale, Washington, where the Lick-Crocker party was
located, a change of weather had happened which amounted
almost to a miracle. The account by Professor Campbell
runs as follows: " The total phase of the eclipse occurred
at 2:57, local mean time. By great good luck a small rift
in the clouds formed mostly at the right place and right
time. The clouds uncovered the sun and its immediate sur-
roundings less than a minute before totality became com-
plete, and the clouds again covered the sun less than one
minute after the total phase had passed. The small clear
area was very blue and the atmosphere was tranquil." *
The developed photographs exhibit the painstaking care
of the astronomers in procuring the precise focus, with the
result that all of the photographs show exquisite definition.
The thin clouds did not interfere at all with the details of
the prominences or flames surrounding the sun. Those
taken with the sixty-five-foot camera exhibit the promi-
nences in splendid detail on a scale where the sun is more
1 Lick Observatory Bulletin, 10, 2, 1918.
THE AMERICAN ECLIPSE OF 1918 199
than seven inches in diameter. The longer exposures for
procuring the extensions of the corona were not quite so suc-
cessful, since the thin, fleecy clouds cut down the fainter
streams of coronal light. The smaller cameras showed the
same results as the larger ones — splendid detail in the in-
ner corona, but the corona not of very great extent. All
the photographs unite in showing many polar rays, and they
also exhibit some plumed arches of great beauty. The corona
appeared to be of the sun-spot maximum type, but with more
polar streamers than were expected.
The spectroscopes procured photographs of exquisite defi-
nition, but these photographs suffered greatly owing to clouds
which cut down the amount of exposure that at best is none
too great.
What was perhaps the most interesting piece of scientific
work accomplished at the 1918 eclipse owes its conception
to Mr. Edward D. Adams, of New York, who has shown his
great interest in science by the founding of the Ernest Kemp-
ton Adams fellowship which is awarded each year by Co-
lumbia University for researches in the domain of pure sci-
ence. Upon becoming a member of the United States Naval
Observatory party, Mr. Adams took upon himself the re-
sponsibility of trying, by some method, by photography, by
a drawing, or by a painting, to procure a reproduction which
would show the beauties of the corona, and which should be
true not only as to form but more especially as to color. Un-
fortunately for science, it is impossible to obtain a satisfac-
tory representation of the corona and the sun's surround-
ings by photography. The corona is very brilliant near the
edge of the sun, but the intensity fades very rapidly. The
eye can take cognizance of the details in spite of the great
changes in brilliance, but not so the photographic plate. To
obtain the faint extensions of the corona which are readily
visible to the naked eye, a comparatively long exposure is
necessary. This long exposure causes so much overexposure
in the brighter inner regions of the corona that all detail
there is lost by being burnt out. Short exposures give us the
inner corona in exquisite detail, but the outer corona is then
lost through shortness of exposure. Many attempts have
200 ECLIPSES OF THE SUN
been made to cut down the relative exposure by means of
mechanical devices — but none of these have been entirely
successful. Heretofore, the only success in representing the
corona has been obtained by taking photographs with differ-
ent times of exposure and with different cameras in order to
procure photographs with detail both in the inner and brighter
parts of the corona, and in the fainter outlying portions.
After the eclipse is over, a composite drawing is usually made
from the examination of different photographs. This method
has given several satisfactory drawings, but they still have
left much to be desired. However perfect they may have
been as drawings, they took no note of color. Mr. Adams
took upon himself the task of finding the right man to draw
and paint the corona. Color photography could not help out
in procuring the right color, and there was left only the pos-
sibility of finding an artist who would have the true scientific
spirit, and who could combine an accurate sense of form with
a refined perception of color. Mr. Adams was successful in
finding Mr. Howard Russell Butler, a portrait painter of
note, who has developed a shorthand method of noting both
form and color.
During the eclipse, Mr. Butler sat on a lofty perch over-
looking the eclipse instruments, and from which he could
obtain a fine view of the sun. The task he had taken to
himself was no small one. As a portrait painter he usually
asked for ten or twelve sittings of two hours each: now he was
asked to render his subject in 112 seconds. And moreover
this was the first corona he had ever seen !
The methods followed by Mr. Butler in painting the co-
rona have been described by him in Natural History, IQ,
244-271, 1919, and reprinted as Vol. II, part 6, of the Pub-
lications of the Leander McCormick Observatory. An ab-
breviated summary of his description is herewith given :
" The method of working finally adopted may be called a
shorthand method. It was to have a sheet of white card-
board on the easel with a series of concentric circles and radii
drawn upon it in advance. One of these circles was to have
the same diameter as the photographs of the moon to be
taken in the sixty-five-foot camera, namely, seven and three-
THE AMERICAN ECLIPSE OF 1918 201
eighths inches. There was to be an inner circle of half this
diameter and outer circles whose diameters were respectively
one and one half, two, and two and one half times that of the
inner circle. I expected to use the seven and three-eighths
inch diameter, and did actually use it, but I was thus pre-
pared, in case of an unexpectedly extended corona, to reduce
the scale to one half and get everything on the cardboard. In
front and beneath my cardboard was a finished sample pic-
ture of a corona, painted in advance as I expected it would
appear, and my plan was to indicate by initials at points on
my cardboard the variations of color from this picture ; thus
b was to mean a variation toward blue from the sample pic-
ture, and y more toward yellow. I wrote out the procedure
as follows and tacked it alongside the easel. Practice enabled
me to allot a certain number of seconds to each item.
Procedure Seconds
Note value and color of sky 10
Draw value line on moon i o
Note colors of moon 10
Draw outline of corona 20
Use Zeiss binoculars 20
Record positions of prominences 10
Note color and value of prominences 10
Note colors and values of corona, etc 20
no
" Then my plan was to paint a first picture from this result-
ing memorandum, while the impression was vivid, and as soon
as there was sufficient light to proceed by.
" While disappointed in not seeing the corona in a cloud-
less sky, the thin veil had its advantage from the artist's
standpoint. It added mystery and the effect was picturesque.
The brilliant corona burned through the thin veil as if it were
not there. Probably only the outside edges of the corona
were affected.
" On the tenth, the photograph negatives were shown to
me. Those of the sixty-five-foot camera were seven and
three-eighths inches in diameter, the others considerably
smaller. I now saw, in minute detail, the two prominences
which I had recorded and the mighty cyclone which had
202 ECLIPSES OF THE SUN
been increasingly revealed as the eclipse neared its end, be-
cause of the direction of the moon's motion. There were
many other minor prominences.
" I now made careful drawings of these prominences from
the negatives and of the variations in shading of the sur-
rounding corona. Many arches were found springing over
the prominences, and a few rifts of dark channels radiating
from the limb but never coming very close to it. The nega-
tives showed very clearly the hairy polar rays, not always
radial in direction, and the beginning of a wing springing
from the upper right-hand limb of the sun.
" Three paintings were made, the first immediately after
the eclipse, the second on the succeeding day and the third
after all data had been secured. This final painting is the
one reproduced on page 60." The original size of the paint-
ing is 49 x 33^- inches.
One of Mr. Butler's paintings has been presented to the
American Museum of Natural History in New York by Mr.
Edward D. Adams. This canvas is mounted in the Astro-
nomical Room which is kept darkened but with the corona
painting illuminated by indirect lighting. Those who have
been privileged to see this painting have pronounced it a
thing of rare beauty. The astronomers who saw the 1918
eclipse and who have seen the picture look upon it as a marvel
of perfection, true both as to form and color, a great work
of art which has the added advantage of being scientifically
accurate. In the same room of the great Museum are paint-
ings of the 1923 and 192 5 coronas, also from the skilled hands
of Mr. Butler, the three coronas forming a triptych with in-
teresting contrasts. A reproduction of the 1923 painting is
found facing page 204 and that of 1925 as the frontispiece
illustration.
The results from the expeditions of 1919 and 1922 which
were devoted mainly to tests of the Einstein theory of rela-
tivity will be found in Chapter XXIII.
CHAPTER XIII
ECLIPSES SINCE 1923
WHAT a splendid opportunity seemed to await the
American astronomer at the eclipse of 1923! On
September 10, the moon's shadow touched the
earth's surface at sunrise in the Pacific off the coast of Japan.
The shadow traversed the ocean at a speed well over a thou-
sand miles per hour and appeared off the coast of southern
California somewhat after noon. After crossing Lower Cali-
fornia, Mexico and Yucatan, the eclipse ended at sunset in
the Caribbean Sea north of British Guiana.
It seemed very fortunate that the total eclipse track was
to pass over a portion of California where one naturally
expects during the summer months superb conditions of
weather. Everyone, indeed, has heard of the boasted cli-
mate of southern California, the " land of sunshine and flow-
ers." In order to supplement the regular observations of
the U. S. Weather Bureau, the Eclipse Committee of the
American Astronomical Society for four years previous to
1923 had had special observations made of the wind and
weather during the first two weeks of September and at the
hour of the eclipse. As the result of all the information avail-
able it seemed that one of the best spots for an eclipse expedi-
tion was San Diego, the only large city in the United States
inside the path of totality. Within the memory of the " old-
est inhabitant " there had not been a single cloudy day on
the tenth of September. To make matters almost ideal, the
total eclipse came at one o'clock when the danger from sea-
fog was reduced to a minimum. A conservative estimate
placed the chances of perfect conditions at least ninety per
cent. For the first time in the history of science, the astrono-
mer was able to insure his expedition from ill-luck of any
kind, from clouds, from a sudden gust of wind that would
203
204 ECLIPSES OF THE SUN
shake the instruments or from any lack of adjustment that
would endanger the final perfection of the photographs. Al-
though eclipse insurance was offered to the expedition from
the Leander McCormick Observatory, and at a very small
premium, it was not accepted, for it seemed poor business to
add to the expenses by insuring against the clouds that
weather statistics showed to be so improbable.
The author had made arrangements to observe his fifth
total eclipse of the sun as a member of the party from the
United States Naval Observatory in the event that the gov-
ernment institution should send its own expedition. A spe-
cial eclipse appropriation not having been passed by Congress
and a Naval Observatory expedition thus being impossible,
the necessary spectroscopic apparatus was loaned to the
Leander McCormick Observatory. To add to his kindness,
the superintendent of the Naval Observatory personally made
arrangements with the Secretary of the Navy and the Chief
of the Bureau of Equipment for the observers and equip-
ment to be carried by naval vessel from Hampton Roads on
the Atlantic to San Diego.
On arrival in San Diego it was found that the U. S. Army
was not to be outdone in generosity by the Navy. Before
leaving the East, permission had been secured from the
Chief of Coast Artillery for the University of Virginia party
to locate within the military reservation of Fort Rosecrans.
To put it mildly, the writer was amazed to have the com-
manding officer of Fort Rosecrans extend an invitation, on
behalf of the government, for the Virginia party to take up
residence in officers' quarters in the Army post. Accord-
ingly, six weeks before the eclipse, the McCormick Observa-
tory party found themselves in a furnished house of ten
rooms and two baths, the former home of a major. Meals
were sent in from the company kitchen — and Rosecrans
boasted of the " best cook in the Army "!
This army post is located on Point Loma, a peninsula lying
between the Pacific Ocean to the west, and San Diego Bay
on the east. On the top of the ridge which runs out to the old
Spanish lighthouse is a famous drive, and from the Point it-
self there is afforded one of the finest views in the world
ECLIPSES SINCE 1923 205
overlooking San Diego Bay and the city, North Island (with
Rockwell Flying Field and Naval Air Station), Coronado
Beach and Tent City; to the south lay the Coronado Islands,
belonging to Mexico; to the east and southeast the moun-
tains; to the west the blue water of the Pacific.
San Diego has every reason to be proud of her city, located
as it is in one of the finest spots on the globe and blessed with
an agreeable climate that might well be the envy of any
city in the world. We from Virginia, a state which has never
been backward in painting a halo around everything con-
nected with the Commonwealth, were much interested in the
spirit of civic pride and aggressiveness, which at times may
have even bordered upon boastfulness. Our six weeks' stay
was filled with pleasant memories and we only wish that each
and every total eclipse might be observed under the con-
genial surroundings of Fort Rosecrans.
Many are the problems that may be profitably attacked
at the time of a total eclipse. One of the most important
at the 1923 eclipse was the confirmation of the bending of
the rays of light from a star as these rays pass close to the
edge of the sun, as predicted by Einstein. We had no equip-
ment for this research and we preferred to let others tackle
this problem while we devoted ourselves to following up the
line of attack carried out at four previous eclipses. It was
therefore decided to have two eclipse stations, each equipped
with a powerful spectrograph. One of these was located on
Point Loma, the other at Lakeside, twenty-five miles inland,
and near the edge of the shadow cast by the moon. The
essential part of each spectrograph was a concave grating
ruled by Rowland of Johns Hopkins. Each of the gratings
used was made by ruling on a spherical concave mirror of
speculum metal 15,000 lines to each inch.
At North Island was the powerful battle squadron of the
U. S. Naval Aircraft forces. Here was a chance to employ pho-
tography from the air on any of the problems that could be
solved by this method. It is manifestly impossible to use any
but comparatively small cameras from an airplane and to give
but very brief exposures. On account of the short exposures
permitted no spectroscopic work could be attempted from the
206 ECLIPSES OF THE SUN
air, no investigation of the Einstein effect and no photog-
raphy of the corona that demanded large focal scale. Air-
plane photographs could not compete with those taken from
a fixed installation on terra firma. In the event of clouds
and the possibility of soaring above them in a machine, air-
plane photographs might be taken, but there would be little
of scientific value in photographing the corona on such a
small scale. There seemed only one direction in which
photography from the air could assist the astronomer, and
that was in the attempt to find the position of the moon in
the sky with greater accuracy.
The program finally adopted consisted in attempting, from
five separate stations along the northern edge and one at the
southern edge on the shore of Mexico, to photograph from
the air the ground underneath intersected by the edge of
the shadow of the moon. For this purpose it was necessary
to use the best of mapping cameras known to the photog-
raphers and to choose special sites to photograph where the
terrain would offer as great contrast as possible between a
point just inside and one just outside the moon's shadow. In-
cidentally it must be admitted that so little was known of the
amount of light to be expected a few yards outside of the
moon's shadow that there was some doubt as to the final suc-
cess of the investigation. But there was nothing to do but
to " try and see what happened." To supplement this work
from the air, there were two parties of sailors, each of seventy-
five, located at the expected edge of the moon's shadow. The
sailors were put at intervals of ten feet at right angles to the
edge of the shadow, and each was instructed to note whether
he could see the corona or not. If he could see the corona
during totality, he was presumably inside the penumbra of
the moon's shadow.
In addition to the pilots with mapping cameras, there were
others with movie cameras stationed over Point Loma to pho-
tograph the coming of the eclipse, each provided with a navy
chronometer-watch to detect the accurate time, while an-
other plane went aloft equipped with self-recording appara-
tus to register temperature, humidity, etc., during the total
phase.
ECLIPSES SINCE 1923 207
During the erection of our apparatus it was interesting to
watch the gradual installation of the gigantic equipment to
be used on eclipse day near the tip of Point Loma by the as-
tronomers from the Mt. Wilson Observatory. This great
observatory, the best equipped and most famous in the whole
world, is located on Mt. Wilson near Pasadena. Being there-
fore only about 140 miles from the eclipse site, it was possible
to transport all of their instruments by motor truck from
observatory shops to eclipse camp. The problem of trans-
porting the heavy apparatus was a very simple one for
the Mt. Wilson staff, and one with which they are very
familiar.
To continue the magnificent work begun by Michelson in
measuring the angular diameter of the star Betelgeuse, it was
found to be necessary to separate the plane mirrors of the
interferometer to the great distance of fifty feet. As this
meant too large a span to be attached to the loo-inch reflector,
a separate mounting was devised. This consisted in a bridge-
like truss attached to a heavy polar axis driven by clock
mechanism. The clock and central section of the mounting
having been completed, the director of the Mt. Wilson Ob-
servatory decided to utilize this interferometer structure on
which to mount cameras, spectroscopes, photometers, etc., for
the eclipse program. Here was a startling innovation in
eclipse work, to put all of the instruments on one mounting,
" the eggs all in one basket " — but the scientific world has
learned to have confidence in the judgment of the Mt. Wil-
son astronomers. Their longest camera was thirty feet in
focal length, used to photograph the Einstein effect. An-
other camera half this length was for the same purpose.
There were cameras to portray the beauties of the corona in
various scales and in different colors of light, spectroscopes
to ascertain the constitution of the corona, instruments to
photograph and to measure visually the intensity of the light
of the corona at various angles from the edge of the sun. The
instruments (see page 208) numbering fifteen made prob-
ably the most complete equipment that had ever been assem-
bled for photographing a solar eclipse. The personnel in-
cluded about thirty members of the Mt. Wilson staff while an
208 ECLIPSES OF THE SUN
auxiliary party of twenty computers and friends of the staff
were prepared to watch and measure shadow bands, etc.
To the astronomers gathered for the eclipse the weather
seemed " unusual " (we understand this is the first word
that a California baby learns at its mother's knee). At any
rate the cloudless skies that we had been led to expect at
1:00 P.M. were not always forthcoming. During the first
two weeks of our stay at Point Loma, high fog at noon was
the rule rather than the exception. Still it was a long time
to the eclipse, and conditions would undoubtedly improve
— and they did. The next two weeks gave perfect skies, an
absence of wind and altogether ideal conditions. Would
this last, or would another cloudy spell come? We were
optimists and believed implicitly what our friends the Cali-
fornians told us.
Saturday, September 8, was a cloudy day and the eclipse
would have been under poor conditions. Sunday was even
worse. What would Monday bring? Lieutenant Wyatt in
charge of the weather observations at North Island made
daily predictions of weather conditions to serve as a guide
for airplane flights. He telephoned me twice on Sunday. His
report was, " There has been excessively hot weather in Im-
perial Valley for the past week. A secondary low over North-
ern California makes the prospect of clear weather tomorrow
very doubtful. If the back of the hot wave is broken there
may be a change. This will be signalled by a brisk wind from
the west. Unless this wind springs up in the night, I am
afraid for you tomorrow. "
At eight-thirty eclipse morning we were off on our trip to
Lakeside. As we got inland from the Pacific, out of reach
of the high fog, and where ordinarily we got out of the
clouds, the conditions improved but little. At ten o'clock
at Lakeside we found high cirrus and the conditions looked
hopeless. But there were three good hours until the time
of totality and much to be done in the final preparations!
By twelve o'clock we heard the airplane aloft which was to
observe over Lakeside and the pilot waved to us in friendly
greeting. The clouds were not very heavy but there were
no clear patches anywhere. We kept a stiff upper lip and
MT. WILSON INSTRUMENTS BEING ASSEMBLED FOR THE ECLIPSE OF 1923
ECLIPSES SINCE 1923 209
refused to believe that after so much bragging California
was going to get a black eye.
Still the clouds were not too thick to prevent us watching
the diminishing crescent of the sun as totality approached.
Nature was hushed but the cocks were crowing lustily as if
night were falling. At the very second when expected from
the revised times sent out from the American Ephemeris,
the sun was blotted out and a faint trace of corona appeared.
But what a bitter disappointment ! We carried through our
program, exposing eight plates in the seventy seconds of
totality, knowing full well that the developed plates would
show not the slightest trace of light.
Well, there was no use crying over it (although one was
tempted to). We had done our best and the fault was not
ours. If misery likes company, it was evident that the clouds
were general and not local. As quickly as a high-powered
car could take us to San Diego we telephoned to Point Loma
only to find as we expected, that conditions there were even
worse and practically not a trace had been seen of the corona.
Radio soon told us that the large assemblage of seventy as-
tronomers on Catalina Island, including the Yerkes * and
Harvard parties, Plaskett, Stebbins, Fox, Wilson and others,
had suffered a like fate. Even the usual luck of the Lick
party had deserted them, for conditions where Dr. Campbell
and the Lick expedition were located at Ensenada 2 were
about as bad as could possibly be.
And this was the record for " sunny California "! Not a
single expedition greeted with good conditions, and the whole
scientific work a dismal failure! There was nothing left to
do but pack up and go home — and then begin to get ready
for the next eclipse.
The weather conditions in Mexico did not give promise
of the superb conditions that had been expected in southern
California, so it was all the more gratifying to find the good
luck experienced by the astronomers in old Mexico. Four
separate expeditions were wholly or partially successful. The
Mexican government financed two expeditions, one from the
1 Popular Astronomy, 32, 205, 1924.
- Publications A. S. P., 35, 275, 1923.
210 ECLIPSES OF THE SUN
Mexican National Observatory of Tacubaya under the di-
rection of Gallo, the other L consisting of Schorr, Luden-
dorff and Kolhschiitter from Germany. The Steward Ob-
servatory of Arizona had an expedition 2 in the province of
Sonora and the Sproul party 3 was located at Yerbanis. Di-
rector J. A. Miller had the capable assistance of Heber D.
Curtis, director of the Allegheny Observatory.
The Sproul expedition had a varied program of work, but
mention will be made here of two items only, photographs
with Einstein cameras of fifteen feet focus and photographs
on a larger scale of sixty-five feet focus, the cameras in each
case being pointed directly at the sun. The photographs for
the Einstein effect, one of which is reproduced facing page
212, showed the corona in splendid detail. The star images
however were not of the best definition, and as the photo-
graphs were made through thin haze, it was decided by Miller
that he would not measure the plates to obtain the deflec-
tions of the star images.
After the ill luck experienced by the American astronomers
in 1923 where conditions beforehand had seemed so promis-
ing, it seemed almost foolhardy to prepare for an eclipse
which was to take place at nine o'clock on a winter's morning
on the Atlantic coast in the United States with the sun at best
only eighteen degrees above the horizon. Would snow cover
up the astronomers as had happened on January 14, 1907,
the preceding eclipse in this cycle of the Saros? The most
optimistic placed the chances of good weather about fifty
per cent. With such poor prospects it was natural that none
but American astronomers would plan to observe the eclipse.
In fact, the chances of success seemed so remote that the
Lick Observatory, with its splendid record of carefully
planned observations secured at many eclipses, decided
against sending an expedition across the continent. After
attempting a very large program at the 1923 eclipse, the
Mount Wilson Observatory contented itself in 1925 with at-
tacking about one-fifth of the problems planned for the
previous eclipse.
1 Sitz. Preuss. Akad., 83, 1925.
2 Publications A. S. P., 36, 170, 1924.
3 Astroph. Jour., 61, 73, 1925; Sproul Obs. Publ., No. 7,
ECLIPSES SINCE 1923 211
What a surprise the weather again had in store for us on
January 24, 1925! The day before the eclipse was one of
gorgeously perfect blue skies. Would the morrow provide
equally good skies? The clear skies continued throughout
the night but it clouded over completely at six in the morn-
ing— and totality occurred three hours later. The largest
group of astronomers was assembled at Middletown, Con-
necticut, at the Van Vleck Observatory, and here were parties
representing the Mount Wilson Observatory, Leander Mc-
Cormick Observatory, Harvard University, Universities of
Wisconsin and Illinois, United States Bureau of Standards,
and many others. What a dejected crowd we were at eight
o'clock when we had gathered at the Van Vleck Observatory
to observe first contact, the beginning of the eclipse. There
was nothing but clouds everywhere! A quarter of an hour
later a ray of hope appeared; there was a blue streak of sky
low down in the northwest — and the clouds were coming
from that quarter. Would it clear off in time? Luck was
with us. Five minutes before totality a cloud, very thin and
very fleecy, hung over the sun. It was not thick enough to
do much damage and it was moving slowly. We hoped it,
too, would go. When the timers called out " two minutes,"
the cloud was almost gone. Now it was beginning to get
quite dark, a weird and unnatural pall coming over the land-
scape. The observers outside noticed shadow bands flicker-
ing over the snow. At one minute before totality, with the
thin crescent of the sun growing very small, the atmospheric
conditions seemed perfect, the thin cloud had gone!
How fortunate we were that the weather defied all the
laws of averages on January 24, 1925! With clouds hover-
ing everywhere over New York and New England, the sur-
prising fact was that clear skies greeted most of the as-
tronomical expeditions. It was cloudy throughout Michigan
and Ontario, cloudy in Buffalo, but clear at Ithaca, Pough-
keepsie, Middletown, New Haven, Nantucket and New York.
It is estimated that ten million people in New York State and
New England were given an opportunity of witnessing the
gorgeous spectacle. The great newspapers of New York City
asserted that no single event in the past decade has aroused
212 ECLIPSES OF THE SUN
such widespread enthusiasm. As totality lasted for the brief
time of two minutes or less, and as the scientific investiga-
tions were nearly all crowded within the period of the total
phase of the eclipse, it is probable that no single event in the
history of man has had so many words, per minute of the dura-
tion of the event, written about it as has the 1925 eclipse.
As a spectacle this eclipse suffered from taking place so early
in the morning. If the darkening had come on during the
middle of the day with the sun high up in the sky, the psy-
chological effect would have been greater. The shape of the
corona corresponded closely with that expected from the
condition of the sun near spot minimum. To the right of
the vertical, however, there was a long pointed shaft of light
stretching up more than a degree. The remarkable feature
was the total lack of rosy color visible to the naked eye, no
prominences being readily visible, and as a result the corona
lacked color as if, possibly, to reflect the feelings of the ob-
servers who everywhere worked with the thermometer below
the zero mark of the Fahrenheit scale.
Several unusual features concerning this eclipse are worthy
of note. The eclipse track crossed over the Van Vleck Ob-
servatory with its visual refractor of 20 inches aperture.
Here was an opportunity of photographing the corona with a
large telescope and with yellow light. Miller of the Sproul
Observatory used the photographic lens of 63 -feet focal
length, mounted as in 1918 and 1923, pointed directly at the
sun. Naturally there were hosts of cameras of smaller focal
length. On account of the high possibility of clouds, the
United States Navy employed the dirigible Los Angeles which
flew out to sea and carried a battery of cameras with which
to photograph the corona. Even in a gigantic dirigible the
platform carrying the cameras is not very steady and it is
very difficult to keep the cameras pointed at the sun. Natu-
rally it was possible to utilize the cameras only of short focal
length and to give brief exposures only. If it had been
known beforehand that the skies were to be clear at eclipse
time, the Los Angeles would not have taken part in the
eclipse program. Its photographs showed the general fea-
tures of the corona but they had little of scientific value com-
CORONA OF SEPTEMBER 10, 1923
Sproul Observatory photograph with 15 -foot camera.
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ECLIPSES SINCE 1923 213
pared with those taken by cameras with more stable founda-
tions and greater focal lengths. Many airplanes were utilized
for the same mission.
Many attempts were made to measure the intensity of the
corona, among which should be noted the work of Nicholson
and Pettit, by Stebbins and King, and by Coblentz and Stet-
son, all three parties gathered in Middletown; and also by
Parkhurst, located farther west in Ithaca. Curtis at New
Haven, Anderson and Mitchell, both in Middletown, photo-
graphed the flash spectrum, the first named paying special
attention to the red end and reaching to wave-length 8800 A
on the photographs. The results obtained by these various
observers will be duly recorded on the appropriate pages
later in this book.
The developed photographs all show the effect of the low
altitude of the sun and the consequent poor seeing. As
eclipses are of such rare occurrence it is fortunate that coronal
details do not require the finest conditions of seeing for their
precise portrayal. The details of the coronal streamers are
not inherently sharp and clear-cut in their nature, and conse-
quently a little blurring of detail caused by poor atmospheric
conditions has little deleterious effect on the photographs.
The case is, however, very different with the prominences.
By nature these phenomena have more definite outlines. The
best photographs with which to test the quality of the seeing
at the 1925 eclipse were unquestionably those taken with
the 20-inch refractor of the Van Vleck Observatory. This
telescope is regularly employed in the determination of stellar
parallaxes bv photography. The focus consequently has
been thoroughly well determined. The plates taken by this
telescope (which has the largest aperture ever used to pho-
tograph an eclipse) were a great disappointment, due mainly
to the lack of sharp detail shown in the inner corona.
The fault did not lie in the telescope or in any lack of care-
ful adjustment, but was to be found in causes beyond the
control of the observer, namely, the poor definition resulting
from bad seeing. The same qualities of poor seeing are found
in the spectral images of these prominences in the flash spec-
trum taken without slit.
214 ECLIPSES OF THE SUN
At the eclipse of 1923, the preparations made to photo-
graph from airplanes, so as to fix with greater exactness the
place of the moon in the sky, came to naught because of
clouds. In 1925, on account of the southern edge of the
moon's shadow passing over New York City, an excellent
opportunity was at hand to secure many observers to deter-
mine the exact edge of the shadow.
Calculations based on the American Ephemeris had fore-
told that the edge of the moon's path would cut Riverside
Drive (which runs north and south along the Hudson River)
somewhere between 83d Street and noth Street, with a
total uncertainty of approximately one mile. To make cer-
tain that the astronomers were not mistaken, observers were
located at each intersection of city blocks all the way from
72d Street to i3Sth Street, usually on the tops of apartment
houses, so that a better view might be obtained. Sixty-nine
men were employed and each was furnished with a piece of
darkened glass and was instructed to look at the sun at the
time of totality in order to see whether the corona was visible
or whether there was a thin edge of the sun left shining. All
of the observers were instructed to report to a central office
immediately after the eclipse. Only one of the total of sixty-
nine was in doubt as to what he saw, and the sixty-eight gave
a clear-cut verdict. The observer at 240 Riverside Drive
had seen the total eclipse while a man located at 230 River-
side Drive had seen a small sliver of the sun exposed, indi-
cating that it was a partial eclipse. The distance between
these two men was about two hundred and twenty-five feet,
which included the width of 9 6th Street. The edge of the
shadow of totality was, therefore, pinned down to within
two hundred and twenty-five feet on the west edge of Man-
hattan Island. Other observers along the East River were
successful in making similar observations with the result
that the moon's path across New York City is accurately
known. It is indeed surprising to find such unanimity of
opinion among untrained observers who were all witnessing
their first eclipse. Apparently it must be very easy to make
up one's mind as to whether the corona is or is not visible.
Similar attempts have been made at former eclipses but have
ECLIPSES SINCE 1923 215
always met with failure. None of the observers saw the
edge of the moon's shadow as it lay upon the ground in spite
of the excellent opportunity afforded on account of the ground
being completely covered with snow. Evidently the edge
of the shadow is not sharply defined but the light tapers off
gradually.
The keen interest of astronomers in total eclipses of the
sun again manifested itself in the Dutch East Indies on
January 14, 1926. No less than nine expeditions from
Europe and America were gathered for the purpose of work-
ing ardently and enthusiastically for the brief period of four
minutes. Three expeditions, numbering twenty people, trav-
eled from the United States halfway round the globe in the
hope of having clear skies during the few precious minutes
of totality.
In recounting the history of eclipses, repeated attention
has been called to the many failures of eclipse expeditions
due to the fickle weather. This has been especially true in
the tropics. Where the writer was located in Sumatra for
the 1901 eclipse the annual rainfall was the goodly amount
of 1 86 inches or an average of half an inch per day.
Unfortunately, at the 1926 eclipse the weather lived up to
its poor reputation. Clouds were the rule rather than the
exception. The British party at Benkoelen on the west
coast of Sumatra had the best luck. Their program1 was
almost exclusively spectroscopic. Excellent spectra were
obtained which will be described in a subsequent chapter.
Although the party from Swarthmore 2 was located not far
from the British in Benkoelen, they did not fare so well with
the weather. Successful photographs were secured with the
large camera of 63 -feet focal length pointed directly at the
sun, with twin cameras of i5-feet focus for testing the Ein-
stein deflection, and with smaller cameras. Curtis again used
the short focus concave grating for the flash spectrum but on
account of the haze and the deterioration of the plates
stained with dicyanine no spectra were obtained.
The Harvard expedition, consisting of Stetson, Coblentz
1 Memoirs R. A. 5., 64, 105, 1927.
2 Popular Astronomy, 34, 349, 1926.
216 ECLIPSES OF THE SUN
and Arnold, measured the intensity of coronal radiation visu-
ally and photographically. Their results seemed to show
that the total coronal light was 40 per cent greater in 1926
than in 1925. However, their work was done at the site
of the Swarthmore party and it is possible that the haze may
have affected their results. (See Chapter XXI.)
On the other side of the mountain range from Benkoelen
was the expedition from the U. S. Naval Observatory includ-
ing Anderson of Mount Wilson with a 21 -foot concave grat-
ing for the flash spectrum. The eclipse was practically lost
through clouds covering the sun for nearly the whole of
totality. Freundlich of Potsdam located at Benkoelen on
account of haze secured few photographs of value. In East
Africa, Horn d'Arturo l at the head of a completely equipped
Italian expedition was more successful with the weather.
The photographs of the corona taken by him were compared
with those obtained in Sumatra. Many changes were noted
giving evidence of motions in the coronal structure, particu-
larly in the domes which are such interesting phenomena at
each eclipse.
On June 29, 1927, the eclipse track passed over England,
Norway, Northern Sweden, the Arctic Ocean and North-
eastern Siberia. Unfortunately the eclipse was a very brief
one. At Liverpool, totality took place at 5:24 A.M. and
lasted only twenty-three seconds. At Fagernes, Norway,
totality occurred at 5:34 (Greenwich time) and had a dura-
tion of 34 seconds. To make matters worse, the probability
of clear weather was not very great. In England, at the
early hour of the morning that the eclipse took place, the
most optimistic estimated that the chance of clear weather
was no more than one out of three. In Norway, away from
the coast and farther along the eclipse track in Lapland, the
chances of clear weather appeared to be greater but at best
were no more than an even chance. It seemed almost fool-
hardy to attempt to observe this eclipse with such a short
duration of totality and with the chances of clear weather
reduced to the minimum. Still nothing venture, nothing
erain! It was certain beforehand that no great astronomical
1 Publ. d. Oss. Astron. di Bologna, i, 227, 1926.
ECLIPSES SINCE 1923 217
discoveries would be made from coronal investigations with
this short duration. Still it was very important that a record
should be made of the eclipse. For photographing the
flash spectrum the short duration of totality was no great
drawback.
The popular enthusiasm in England was unbounded. Eng-
land had not witnessed a total solar eclipse for more than
two centuries (see page 58) and the populace was deter-
mined to attempt to see the wonderful phenomenon no mat-
ter how dismal were the chances of success. Nearly all of
the British astronomers were in the eclipse track in England
with well-planned expeditions. A large and well-equipped
party from the Solar Physics Observatory of Cambridge,
however, forsook England for the greater promise of clear
skies in Norway and set up their equipment at Aal under
the direction of H. F. Newall. The only large expedition
from the United States was located in Norway at Fagernes,
fifty miles across country from the Cambridge party. The
McCormick-Chaloner party from the University of Virginia
had a very complete equipment to photograph the flash spec-
trum with three concave gratings, each used without slit in
the attempt to secure the flash r spectrum from the extreme
ultra-violet to the far red, the plates for the region of long
wave lengths being stained with neocyanine. Stetson was
a member of the party at Fagernes with the instrumental
equipment he had used at the eclipses of 1925 and 1926 for
measuring the radiation of the corona. The astronomers
from Oslo were also at Fagernes. Rosseland had a 21 -foot
concave grating for photographing the flash spectrum, Lohse
attempted to observe the times of contacts visually and by
photography, Stormer had a number of small cameras for
photographing the corona. A scientific party of about forty,
of ten different nationalities, were assembled at Fagernes.
Other parties were located farther along the eclipse track,
mainly at Ringebu in Norway, and at Gallivare and Jokk-
mokk in Lapland.
Both in England and in Scandinavia the weather before
the eclipse was much worse than had been expected. At
Fagernes, instead of being clear for half the time, it had
218 ECLIPSES OF THE SUN
been cloudy for fourteen days before eclipse day and
rain had fallen on nine of these days. Decided optimism
was required in order to expect a sudden break in the weather
conditions. In England in addition to the cloudy weather,
there were very high winds that threatened to carry away
the temporary installations. At this date of the year, June
29, and at the high northern latitudes, the adjustment of the
eclipse instruments had to be accomplished without the
stars. At Fagernes (latitude 61°) it did not get dark at
night, while Jokkmokk was in the land of the midnight sun.
Eclipse day dawned everywhere with the weather a con-
tinuation of the cloudy conditions of the previous fortnight.
Apparently only a miracle could save the situation and bring
clear skies. The miracle actually did take place in England
at Giggleswick, where was located the party from the Green-
wich Observatory under the direction of the Astronomer
Royal,1 Sir F. W. Dyson. Here the sky was cloudy through-
out the whole of eclipse day. However a hole appeared in
the cloudy sky and lasted for a space of two minutes only.
The eclipsed sun appeared in this blue patch of sky and suc-
cessful photographs were secured. The photographs show
exquisite detail in the inner corona but the outer corona was
lost through thin haze. At Jokkmokk where was located
the expedition from Hamburg under the direction of Schorr,
a similar miracle took place, the sun at totality being sur-
rounded on all sides by clouds. Schorr was more successful
than Dyson, the sky being without haze. The photographs
taken at Giggleswick and Jokkmokk exhibit many brilliant
prominences with the hooded forms overtopping the promi-
nences showing as conspicuous features. A comparison of the
two photographs shows well-marked changes taking place
during the time elapsed. Schorr's photographs show the
corona to be of the circular type that was expected at the time
near maximum of sun-spots. The brilliant prominences and
extended corona must have made a gorgeous spectacle for
those few fortunate souls who were lucky enough to behold
the eclipsed sun under good conditions. Elsewhere along the
track thin haze or heavy clouds interfered with the work or
1 Monthly Notices R. A. S., 87, 657, 1927.
ECLIPSES SINCE 1923 219
made the efforts of the astronomers of no avail. At Gallivare x
in Sweden, there were several expeditions, the party from
Upsala securing photographs of the corona and of the flash
spectrum. These observations were secured through thin
clouds. The flash spectrum was photographed with success
by Pannekoek and Minnaert," by Vegard, and by Baade.
At the 1925 eclipse the attempts which were made to
photograph the phenomenon in color met with partial suc-
cess. At the 1927 eclipse a color film was taken at Giggles-
wick making a brief exposure every second and lengthening
these to about 0.5 second as totality approached. The results
are described by the Astronomer Royal.3 At Giggleswick the
duration of totality was 23 seconds. For 27 of the exposures
by the color film it may be said that the eclipse was total, and
for an additional two seconds at each end Baily beads are
shown. The corona and prominences can be traced on the
limb of the sun opposite to the crescent for a duration of 30
seconds both before and after totality. The corona shows on
the film to be somewhat bluish in color during totality.
Outside of totality this bluish color appears rather reddish,
the difference in color being due to the process employed.
The chromosphere appears quite red in color while the promi-
nences vary from a deep to a whitish red.
Before totality the corona appeared in some places bluish
and in others reddish. When totality commenced there was
a continuous reddish arc of the chromosphere on the east
limb, extending for about 130° with red prominences. The
chromosphere was visible on the film for 9 seconds after the
beginning of totality and reappeared again 6 seconds before
the end of totality. The colors on the film do not agree with
those seen by the eye.
On account of the short duration of totality the bright
inner corona was left exposed beyond the dark limb of the
moon for a longer space of time than is ordinarily found at
a total eclipse of the sun. The result of this has been that
the corona was seen and photographed for a much longer
stretch of time outside of totality than is usually the case.
1 Kienle, Die Himmelswelt, 37, 225, 344, 1927.
2 Verhand. der Kon. Akad. van Wetenschappen te Amst'dm., 13, No. 5, 1928.
3 Dyson, Monthly Notices R. A.S., 88, 142, 1927.
220 ECLIPSES OF THE SUN
References to other features of the 1927 eclipse will be
found at the appropriate places in the following pages.
The next eclipse, May 9, 1929, was visible in northern
Sumatra, the Malay States, Siam and the Philippines.
Many expeditions were attracted to the eclipse track in spite
of the great distances from home that must be traveled and
the uncertainty of the tropical weather. Professor J. A. Mil-
ler, a veteran of many eclipse expeditions, tells 1 of the gener-
osity of the Dutch in caring for the work of the astronomers.
All of the heavy equipment was carried free of charge by the
Dutch steamship lines from the United States halfway round
the world to Sumatra and return, while the official personnel
of the expedition was given passage at half the regular rates.
Unfortunately the Dutch could not control the weather
in Takengon in northern Sumatra where was located the
Swarthmore party and also the Potsdam expedition under
Freundlich. Miller describes the weather as follows: "We
had not seen a clear sun for days preceding the eclipse. It
was at that season of the year known as the change of the
Northeast to the Southwest Monsoon. The Southwest Mon-
soon was to bring clear weather, and it did, five days after
the eclipse.
"The eclipse occurred at 12:47 o'clock. In the morning
the sky was entirely overcast. About nine o'clock a round
patch about 20° in diameter appeared in the southeast sky.
It persisted, and seemed to drift slowly toward the com-
pletely overcast sun. At eleven o'clock one could tell where
the sun was in the sky. At the time of first contact the sun
was invisible, but the blue circular patch still drifted slowly
on. Sometimes during the partial phase one could tell by
using field glasses that the sun was eclipsed. Ten minutes
before second contact we took our places at the instruments,
having decided to make all exposures regardless of the
clouds. At that time one could not tell with the unaided eye
that the sun was in partial eclipse. Five minutes before
totality it was considerably brighter, and at totality the sun
was in the center of the circular blue patch, which to the
naked eye seemed perfectly clear. It remained clear during
1 Popular Astronomy, 37, 495, 1929.
ECLIPSES SINCE 1923 221
the entire period of totality, then the clear patch moved on,
and half an hour after totality the sun was again obscured by
clouds."
The Swarthmore party secured successful photographs
with the 63-foot tower camera, with a pair of 1 5-foot Ein-
stein cameras and with smaller instruments. The German
party secured excellent photographs for the Einstein effect
and also spectra of the corona in fine definition. To obtain
check plates the party stayed behind at the eclipse site.
Observers elsewhere had varied success.
Two British expeditions were located at Alor Star in
Kedah and at Pattani in Siam. The former photographed
through haze, the latter was blotted out by clouds. Stetson,
Arnold and Johnson at Alor Star with an illuminometer
found at mid-totality a radiation of 0.15 foot candles. The
U. S. Naval Observatory expedition was at Iloilo in the
Philippines. Good photographs of the corona were secured
through light clouds. In Cebu the Hamburg party had thin
clouds; Dutch, French and Japanese expeditions were par-
tially successful.
The annular-total-annular eclipse of April 28, 1930, pre-
sented special problems. In consequence of the usual devia-
tion of the moon from its predicted place, would it be
possible for an expedition to succeed in locating itself inside
the path of totality scarcely more than a half mile in width?
Evidently, at an eclipse of this character the most fruitful
field of investigation would be the flash spectrum.
Heavy rain and clouds along the track in California and
Nevada greatly interfered with the observations. With their
customary good fortune, the Lick observers had a clear sky
at the time of totality. Two prism spectrographs were em-
ployed each with moving plate according to the method
developed by Campbell. The photographs by both instru-
ments ] recorded the lines of intermediate and high levels but
the timing was too late to obtain the reversal of the lines of
lowest level. The expedition from Mount Wilson was ham-
pered bv clouds. Photographs of the flash spectrum were
obtained by two concave grating spectrographs, one of
i Publ. A. S. P., 42* 131, 1930.
222 ECLIPSES OF THE SUN
io-foot radius used with moving plate and the other of
2 1 -foot radius with minified images of the crescents. The
latter arrangement designed by Anderson was used at the
1926 and 1927 eclipses. The detailed results of the spectra
from this brief eclipse will be watched with interest.
The path of the recent total eclipse started at sunrise on
October 22, 1930, in the North Pacific and ended at sunset
off the coast of Patagonia on October 2 1 . The observation
of the eclipse was dramatic and spectacular in all of its
details. The only available site was a small, isolated, vol-
canic island not far from the International Date Line and
at 15° south latitude. The U.S. Naval Observatory secured
a small appropriation from Congress for an expedition. As
a result of their commendable policy, frequently put into
effect in the past, astronomers with eclipse experience were
invited to become guests of the expedition. The equipment
consisted of 115 cases of scientific instruments and supplies,
60 tons of stores and 11,000 feet of lumber. A naval vessel,
U.S.S. Tanager, was detailed to assist in the work. The
members of the party were on the island two months before
the eclipse.
The island of Niuafoou in the Tonga group is familiarly
known as " Tin-Can Island. " The island being both small
and volcanic there are no bays nor landing places where a
boat could run alongside. Once each month there is great
excitement on the island; the mail steamer arrives! Unfor-
tunately, the only sure method whereby the mail can be
brought ashore is to seal it up in a tin can and lower it over
the ship's side; then one white trader and two natives swim
out for the tin can — at the same time carrying the out-
going mail. But the island is in the path of the trade
winds, and if the water is too rough to permit the swim-
mers to go out, the mail steamer does not stop, and the island
gets along without news from the outside world until an-
other month rolls by.
The island is shaped like a gigantic signet ring. It has a
diameter of five miles, with an interior lake three miles in
diameter whose surface is about seventy-five feet above sea
level. The inhabitants, uoo in number, are natives of the
ECLIPSES SINCE 1923 223
Polynesian race. When we were on Niuafoou the white male
population consisted of three persons, two white traders and
a Catholic priest.
The island boasts of the largest cocoanuts in the Pacific
Ocean. Copra or the dried ripe cocoanut is the only article
of commerce. When a boy reaches the age of eighteen he
is given eight acres of land by the Government; when he
marries he is given a plot of ground in the village for his
home. The meat of the young green cocoanuts provides
food for man, dog, chicken and pig, and the water is used
for drinking and cooking, and also for the preparation of the
ceremonial drink of kava.
As the cocoanuts grow readily without any attention, life
for the South Sea Islander is very simple. The government
taxes must be paid before the end of September and hence
in the early days of the month there is great activity in
gathering the ripe cocoanuts, drying the meat, and then sell-
ing the supply to one of the two trading companies. Then
comes the tramp steamer from the outside world to load the
copra to take it to the United States for making food sup-
plies and soap. When the taxes are once paid and a receipt
obtained, the native may take it easy for the balance of the
year. In contrast to life under the benefits of white civiliza-
tion, the natives lead a care-free existence. No wonder that
Stevenson and others have written such fascinating tales of
life in the South Seas! We enjoyed greatly the friendly
intercourse on our brief sojourn on Niuafoou. At four
different times we were the honored guests at a grand ban-
quet of native delicacies followed by a dance when we were
given the privilege of dancing, American fashion, with the
native belles. The daughter of the head man of the village
where I had been adopted as " friend," rejoiced in the eupho-
nious name of Vaicima — which translated into English
means " cement water-tank."
The erection of the big cameras was no easy task. There
was the 63-foot tower telescope, the camera of 65-foot focus
placed horizontally with coelostat, a pair of Einstein cameras
of 1 5 -foot focus on a separate equatorial mounting, together
with smaller cameras. All of this was under the direct
224 ECLIPSES OF THE SUN
supervision of Professor Ross W. Marriott of Swarthmore.
I had two concave grating spectrographs used at former
eclipses. Fortunately, Commander Keppler and Dr. Kellers
of the U. S. Navy had been at the eclipses of 1926 and 1929,
and eclipse problems were to them no novelty. Two petty
officers and eleven enlisted men from the Navy helped in the
erection of the apparatus. A month before the eclipse the
Americans were joined by a party of seven from New Zealand
under the direction of my old friend, Dr. C. E. Adams.
Recent eclipse expeditions to the tropics, in 1926 and
1929, had been treated rather badly by the weather. What
was in store for us? Weather records kept by us during the
eight weeks preceding the eclipse had shown that only one
day out of three was clear at the eclipse hour. On eclipse
day, October 21 by the American date and one day later
according to local reckoning, conditions before the great
event were even worse than usual. Totality was to occur at
8:51 in the morning. Two hours before this a light rain was
falling; first contact was observed through clouds. The
clouds soon after began to get thinner and fifteen minutes
before totality they had entirely cleared away. The total
phase was observed under nearly perfect conditions. Pos-
sibly there was a slight haze but this in no way seemed to
affect the photographs. One half hour after totality, clouds
again began to gather! On the night following the eclipse,
Marriott started on the development of the coronal photo-
graphs. On the following night the dark room was given
over to my exclusive use. As soon as it had cooled somewhat
I started, and with the help of ice brought for the purpose,
I was able to keep developing, fixing and washing baths at a
fairly satisfactory temperature. The washing of the plates
was difficult on account of the scarcity of water. On the
island the only available fresh water came from rains. Un-
fortunately there had been practically no rain during our
residence on Niuafoou and all of the cisterns in the vicinity
of the eclipse camp were dry. Fresh water had therefore
to be brought by the Tanager in eight-gallon breakers and it
was necessary to conserve this in every possible way. That
used for washing the photographic plates was saved and was
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ECLIPSES SINCE 1923 225
utilized again for personal use and for dish washing. Lava
dust permeated everywhere and it was difficult to dry the
plates, especially when large in size, without their being
spoiled by dust particles.
When all of the photographic plates, direct corona and
spectrographic, were developed, the eclipse camp was a
cheery place. We had been fighting against tremendous odds
— but we had won out. I have never seen more exquisite
detail than is found on the coronal photographs taken under
the direction of Marriott. My own spectra left little to be
desired, with good focus from wave-length 3200 in the violet
to 7800 in the red and with the region from 4650 to 6800 in
duplicate. Measures of coronal radiation and observations
of shadow bands will be discussed in later pages.
I had gone to Tin-Can Island, and then around the world
on the return journey, to work for ninety-three seconds of
time. On August 31, 1932, I shall observe my ninth total
solar eclipse at a location in Magog, Quebec — compara-
tively speaking, almost at home. There also will be my
friend Stratton at the head of an expedition from Cambridge,
England, and Minnaert from Utrecht, Holland. Farther
north along the track, at Parent in northern Quebec, will be
an expedition from the Greenwich observatory. In northern
New England there will be expeditions from the two Great
California observatories, Mount Wilson and Lick, and also
parties from Swarthmore, Van Vleck and other American in-
stitutions. The eclipse will be total for about one hundred
seconds of time and the path will be approximately 100 miles
in width. The chances of clear weather appear to be about
fifty-fifty.
By referring to page 55 it will be seen that if I am ever
to observe a tenth total eclipse of the sun it will be necessary
for me to travel many thousands of miles from my home in
Virginia.
CHAPTER XIV
THE STRUCTURE OF THE ATOM
DURING the past two and a half centuries, the as-
tronomer and the mathematician have worked in
close cooperation investigating the distances and
motions of the bodies forming the sidereal universe. Under
the magic wand of their combined labors, the complexity of
the Ptolemaic system has given way to great simplicity and
beautiful order, revealing motions obeying the inverse square
law of Newton, or the very slight modification of this law
of gravitation demanded by the theory of relativity. Dur-
ing the progress of these investigations, our conceptions of
distances and dimensions have been gradually modified, so
that the sidereal universe appears to be vastly greater than
was formerly thought. Our own Galaxy probably has a radius
exceeding icr1 meters or one hundred thousand light years,
while beyond extend other universes at distances of hundreds
of millions of light years.
While the astronomer has thus been reaching out to
greater and yet still greater distances in the direction to-
ward the infinite, the physicist and the chemist, on the other
hand, have found solar and planetary systems of nearly
infinitesimal dimensions within the realm of the chemical
atom. The radius of the electron we seem to think we know
is equal to 1.9 x io-ir> meters. The astronomer has con-
tributed much information concerning the atom because the
celestial laboratories of sun and distant stars provide high
temperatures and minute pressures transcending any avail-
able in the best-equipped terrestrial laboratories.
The amazing development of our conception of the atom
has come within the past three and a half decades, the be-
ginning taking place with the study of streams of negative
corpuscles or electrons. On its discovery, radium seemed
226
THE STRUCTURE OF THE ATOM 227
superficially to exhibit a contradiction of the laws of con-
servation of energy. Heat and light were spontaneously
emitted without any apparent changes in the radium, and
thus a continuous supply of energy seemed evolved which
set at naught that fundamental law of physics. But it was
soon found that with the giving off of energy in radiation,
the radium itself did utterly change and here the philoso-
pher's stone seemed at last to have been discovered, for
it was found that one chemical element actually changed
into another.
And to think that after all the whole science of radio-
activity was more or less the result of a happy accident!
The year following the discovery of X-rays in 1895 by
Rontgen, Becquerel of Paris wished to test the phosphores-
cent action of certain substances by wrapping a photo-
graphic plate in black paper, and placing on it the substance
to be examined, which was then exposed to sunlight. By
good fortune a preparation of uranium was chosen and the
photographic plate was darkened. The Becquerel rays were
thus discovered, and it was soon found that, like the X-rays,
these rays penetrate substances impervious to light, even
passing through thin plates of metal. The experiments were
always made by placing the phosphorescent substance in the
sunlight on top of the black paper enclosing the photo-
graphic plate. But one day the sun was clouded, and the
plate and the phosphorescent substance were placed away
in a desk and were left there for several weeks. Becquerel
for some reason developed the plate, and was surprised to
find the plate darkened as before, thereby showing that
probably neither sunlight nor phosphorescence had any-
thing to do with the action on the photographic plate. Thus
was born, in 1896, the new science of radioactivity!
Besides the effect on the photographic plate, radioactive
substances manifest themselves in three different manners:
first, by exciting phosphorescence and fluorescence; second,
by causing the air near them to become conductors of elec-
tricity; but most startling of all, by the continuous genera-
tion of light and heat.
Mme. Curie recognized that radioactivity was a property
228 ECLIPSES OF THE SUN
of the atom and starting with this in view she found that
the residues from the mine at Joachimstal, Austria, were
three to five times more radioactive than uranium. From
this residue she separated out a new substance, far more
active than uranium which she called polonium, in honor of
the place of her birth. Later she discovered radium. This
appears to be an element with atomic weight 226, and it is
found in excessively minute quantities, there being only one
part in five million in the best pitchblende. In 1899,
Rutherford showed that the radiation from uranium was
complex, consisting of (i) the a rays, which are absorbed
by a sheet of paper or a few centimeters of air (2) of a
hundred-fold more penetrating (5 rays, capable of passing
through several millimeters of aluminium, and (3) of still
more penetrating y rays, capable of passing through quite
a thickness of iron and lead. The $ rays are deflected by
a magnetic field. Becquerel and Kaufmann showed that
the (3 rays were negatively charged particles projected with
a velocity approaching that of light. The very penetrating
y rays are not deflected in a magnetic or electric field, and
are probably closely connected with X-rays.
Though the a rays are the least penetrating, they are
much the most important of the three types of radiation.
They are deflected much less by a powerful magnetic field
than the $ rays, and in the opposite direction, showing that
the a rays consist of a stream of positively charged particles.
Alpha rays, therefore, will affect a gold leaf electroscope,
and this old instrument gives one of the most sensitive
methods of measuring the amount of radiation. In fact,
Rutherford has shown that it is not difficult to measure with
certainty the presence of radium in a body which contains
as small a quantity as io-n grams of radium!
The maximum velocity of the a rays is 12,000 miles per
second. These a rays thus move with velocities hundreds of
times greater than the fastest moving meteor. Everyone
is aware of the enormous energy possessed by a meteor
moving, say, at 30 miles per second. But energy varies as
the square of the velocity, and thus the a particle of radium
possesses a quarter of a million times more energy, mass
THE STRUCTURE OF THE ATOM 229
for mass, than a swiftly moving meteor. In this enormous
energy of the rays lies the secret 6f the surprises of radium.
From whence comes this enormous store of energy?
In addition to its power of sending out radiations, radium
possesses another important property, shared in by the radio-
active substances actinium and thorium, namely, that of con-
tinuously emitting a radioactive " emanation " or gas. This
property is rendered very striking if a specimen of radium
bromide is dissolved in water and the liquid evaporated
down to dryness again to get the solid substance. This
simple process has caused the radium to lose the greater
part of its radiation. Strangely enough the radium slowly
regains its activity, and if left entirely to itself, at the end
of a month it is as radioactive as ever. Rutherford has
showed that the solution in water causes the radium to give
off a gas called " radium emanation." This emanation has
all the properties of a true gas, it can be liquefied at a tem-
perature of — 150° C, but it is 100,000 times more radio-
active weight for weight than radium. It does not combine
with any known substance, and is not acted upon by any
chemical reagent. It is not a radium compound, but it is a
new element with an atomic weight which appears to be 222.
It takes its place along with the rare gases of the air, argon,
helium, neon, etc., and it gives a characteristic bright-line
spectrum which shows neither the radium nor helium lines.
It seems, therefore, that the element radium has been trans-
formed into another element, radium emanation, or radon.
If, after a month, the radium is again dissolved in water and
evaporated to dryness as before, the radium loses its ac-
tivity, and a fresh crop of emanation is produced. This
same process may be repeated as often as possible with the
result always the same, and we are perforce compelled to
assume that the radium is continually manufacturing emana-
tion, continually changing itself into a new element. This
is really only the first of a series of changes, for radium
emanation changes into radium A, and this in turn to radium
B, and so on. This change is an atomic change going on
within the atom. But how does this change progress?
When the radium has given off the emanation, it still
230 ECLIPSES OF THE SUN
gives out a particles, but only about one-fourth as copiously
as before the radium was put in water. The a particles are
produced by the same change as makes the emanation, and
the radium atom is therefore divided into emanation and
a particle.
Observations of the velocity and mass of the a particle
made by Rutherford indicate either that the mass of the a
particle is twice that of the hydrogen atom, or if the charge
carried by the a particle is twice that of the hydrogen atom,
then the mass of the a particle is four times that of the
hydrogen atom and must therefore be an atom of helium.
Hence each atom of radium apparently breaks up into one
atom of helium and one of radon.
All that was necessary to complete Rutherford's proof
that helium was actually given off from radium, was to show
experimentally that helium was thus produced. This was
accomplished in 1903 by Sir William Ramsay and Frederick
Soddy. A tube was filled with radium emanation which was
separated from all other gases by condensing it with liquid
air and removing by a pump the gas not condensed. This
spectrum tube was sealed and the spectrum of the gas could
be examined at will. At first no helium lines were visible,
but after a lapse of three or four days, when the radium
emanation had disintegrated, the spectrum of helium gradu-
ally made its appearance, and finally the whole helium
spectrum was complete. Similarly, Debierne has found by
the spectroscope that helium is produced from the radio-
active substance actinium, and Soddy has produced helium
from uranium and thorium. Helium, therefore, has been
found experimentally to be produced by the radioactive sub-
stances radium, thorium, uranium and actinium. These sub-
stances are alike in that each emits a particles. Hence,
a particles are atoms of helium. Rutherford and Royds,
however, have given a still more conclusive proof that the
a particle is an atom of helium. These a particles are ca-
pable of penetrating a certain small but definite thickness of
glass. Glass may be blown very thin but yet retain its
ability to remain air tight. Radium emanation was stored
in such a thin-walled vessel and this enclosed in a second
THE STRUCTURE OF THE ATOM 231
vessel. Alpha particles given off from the radium emana-
tion thus could penetrate through the very thin glass walls,
but were stopped in the outer vessel and were there col-
lected. At first the gas in the outer vessel was found to
contain no helium, but after some days, helium lines ap-
peared in the spectrum, proving beyond a question of doubt
that radium gives off helium.
It is even possible to measure the rate of growth of the
helium, which measures show that in a year, 168 cubic milli-
meters of helium are spontaneously manufactured by each
gram of radium. Rutherford and Geiger in this connection
achieved one of the greatest triumphs for experimental
science in being able to count the number of helium atoms
or a particles that are ejected per second from one gram
of radium. Indeed two different methods were devised
which led to the same results. Both methods depend on the
fact that each atom of helium as it is ejected gives a small
flash like a meteor. By an electrical method, these flashes
were counted by Rutherford and Geiger and it was found
by them that thirty-four thousand million (3.4 x io10) atoms
of helium are ejected every second from each gram of
radium. This number is in exact agreement with that ob-
tained by noting with a microscope the number of scintilla-
tions on a given area in a given time by the spinthariscope,
invented by Sir William Crookes. Thus at the same time
there was measured the amount of helium produced from
radium, and likewise was given the number of molecules
present in matter, information which was needed to com-
plete many theories in physics.
Investigations in radioactivity accordingly have given an
entirely new conception of the atom. The atom is no longer
one and indivisible, but certain atoms at least are trans-
formed into other atoms, each radium atom being changed
into one atom of helium and one of radium emanation.
These atoms are continually changing, no less than thirty-
four thousand million atoms of helium being produced each
second of time from each gram of radium. As the atoms
disintegrate, enormous stores of energy are let loose, and
this energy manifests itself as light and heat. The heating
232 ECLIPSES OF THE SUN
effect of this energy has been measured and has been found
to be 118 gram-calories per hour per gram of radium. A
specimen of a grain of radium bromide would evolve about
four calories per hour. In four years about 140,000 calories
would have been evolved. An equal weight of coal would
during complete combustion give out about 500 calories.
Hence the radium in four years would give 280 times as
much heat as if it had been coal and had been completely
burned, and yet the radium in this time would diminish so
very little in weight that it would be absolutely impossible
to detect this diminution by the most sensitive balance
known to modern science. The energy of radium comes
from the disintegration of its atoms. The average life of a
radium atom is 2280 years, so that in the complete life of
one grain of radium about 100,000,000 calories are set free.
This is 200,000 times more energy than if it were pure coal
and entirely burned !
Helium, being permanent and not transitory, must ac-
cumulate as the result of radioactive changes. In these
changes, Soddy has shown the remarkable sensitiveness of
the spectroscope in detecting slight quantities of helium
for he has proved, in numerous special experiments, that the
D.< line of the helium spectrum can be detected with cer-
tainty, if only one millionth of a cubic centimeter, or one
five-thousand-millionth part of a gram of helium is present.
An achievement of far-reaching importance in all theories
of physics was the discovery by Sir J. J. Thomson of a
body having a mass much less than that of the lightest
known atom, hydrogen. This body, called by its discoverer
a corpuscle, but now known as an electron, is i/i845th part
of the mass of the hydrogen atom. A further study of the
electron showed that it is always associated with a negative
charge of electricity and in fact carries a unit charge of
negative electricity. The physicist has now become con-
vinced that the atom is an electrical structure made up of
nearly equal amounts of positive and negative electrical
charges. The atom is believed to consist of a central group
of elementary positive charges, or protons, with a smaller
number of negative charges, or electrons, called the nucleus,
THE STRUCTURE OF THE ATOM 233
and about this nucleus there is an outer system of negative
electrons, varying in number from one to ninety-two. These
outer electrons can be expelled from the atom by a number
of different methods, such as the application of heat, impact
of ions, exposure to ultra-violet or X-rays, or they may be
emitted by radioactive substances; in fact, the (3 rays con-
sist of a stream of negatively charged particles.
The discovery by C. T. R. Wilson that the charged ions
produced in gases by a and p rays become the centers for
the condensation of water vapor paved the way to experi-
mental work of a remarkable nature. Millikan has secured
extraordinary results by utilizing tiny drops of oil in place
of water, and as a result of his experiments, he has been
able to prove conclusively that the electrical charges carried
on ions " all have the same value or else small exact mul-
tiples of that value. " This fundamental unit is the same,
both for positive and negative electricity, and is numerically
equal to the charge carried by the negative electron. This
unit charge of electricity was measured by him to an ac-
curacy of one part in 1000. With this information, it was
possible to estimate with greater accuracy the mass of the
electron in grams and the number of molecules of any gas
per cubic centimeter at o° C and 760 mm pressure.
Since we know therefore the size of a molecule and the
number of molecules per cubic centimeter, it is possible to
compute the number of molecules through which the a or
the (J rays emitted by radium must pass in going a given dis-
tance. The extraordinary fact revealed (by the photographs
of Wilson, referred to above) is that the swift-moving (J par-
ticles pass, on the average, through as many as 10,000 atoms
before coming close enough to an electron to detach it from
its system and form an ion. In fact, it has been shown by
Eddington L that when an electron encounters an ionized
atom it will be captured if, and only if, it actually hits the
nucleus of the atom. The electron must therefore form
but a very minute portion of the space enclosed within the
atomic system. The a particle being an atom of helium with
a mass more than seven thousand times that of the negative
1 Monthly Notices, R. A. S., 83, 32, 1922.
234 ECLIPSES OF THE SUN
electron, it cannot be deflected from its course by an elec-
;ron which is of very minute mass, but only by some ponder-
ible mass at least comparable with that of the helium atom.
This heavier mass is found at the nucleus of the atom. As
i result of Geiger and Marsden's experiments on the scat-
ering of a rays, it was found that when these rays passed
hrough very thin metallic foils, the deflections witnessed
:ould be explained only by assuming a very close approach to
i small but massive charged particle. Rutherford x was
tccordingly led to assume that the typical model of an atom
onsisted of an exceedingly minute and comparatively mas-
ive positively charged nucleus, about which is collected a
lumber of electrons. Each and every one of the electrons
orming the outermost parts of all atoms are exactly alike
,nd each carries a unit amount of negative electricity. Since
ach atom is electrically neutral, the charge on the positive
lucleus must be equivalent to the sum of those carried on the
J electrons. The value of N for each of the atoms is a f unda-
lental constant, for on it depends the size of the electric
ield surrounding the nucleus and the peculiar arrangement
f the external electrons, which in turn determine the physi-
al and chemical properties of the atom. Experiments in
911, by Barkla on the scattering of X-rays indicated that
he number, N, of electrons in an atom was approximately
alf the atomic weight of the element. This conclusion was
bundantly verified by the magnificent work of Moseley.
le found that the X-ray spectrum was similar for all ele-
lents, and that when he plotted the square root of the
requencies of the characteristic X-ray spectra, all the ele-
lents examined arranged themselves upon nearly perfectly
:raight lines. The atoms were then numbered in the order
i which these spectra placed them to give these straight
nes.
The ordinal number corresponding to the place occupied
y each element in the periodic table (p. 306) has been
>rmed its atomic number. The work of Moseley showed
lat all the chemical elements took their proper places in
le periodic table, and as uranium is the heaviest atom
1 Phil. Mag., 21, 669, 1911, and 27, 488, 1914.
THE STRUCTURE OF THE ATOM 235
known (atomic number 92) there can be only 92 species of
elements. With elements 85 and 87 now thought to be
known, all gaps have been filled in the periodic table.
These discoveries of the physicist have been the greatest
boon to the work of the chemist. The latter has always had
great faith in the principles underlying the Mendeleeff table,
but in this table, arranged in order of increasing atomic
weights, certain discrepancies appeared; for instance, argon,
of atomic weight 39.88, from its properties was compelled
to find a place in the table before potassium having a smaller
atomic weight of 39.1. The system of atomic numbers
places A with number 18, in its rightful place before K with
atomic number 19. In a similar way, the system of atomic
numbers places Co in the table before Ni, instead of after
it, if arranged according to atomic weights.
With a knowledge of atomic numbers, the difficulties of
classification presented by radioactive substances were now
cleared away. Soddy has shown that when an a particle is
emitted, the position of the element in the periodic table
is shifted by two numbers to the left towards smaller num-
bers, while if a [4 particle is emitted the atomic number in-
creases by one unit, and the place is shifted one to the right.
Since the a particle is an atom of helium with positive charge
2 and mass 4, while the (3 particle is a negative electron with
no appreciable mass, it is evident that the emission of an a
particle will diminish the atomic weight by 4, but the emis-
sion of a (J particle will cause no change in the atomic weight.
Consequently, if the emission of an a particle by a substance
is followed by two successive changes in which (J rays are
set free, the net result will be that the element, after ex-
periencing these three changes, will move back again into
the position in the periodic table it had held originally.
These changes have not altered the size of the atomic num-
ber, but have diminished the atomic weight by 4, and con-
sequently it is possible for two or more elements to have
the same atomic number but differ in their atomic weights.
Such elements are known as isotopes. Isotopes are indistin-
guishable from each other by any chemical tests, or by any
spectroscopic tests since the spectra are identical. Radium
236 ECLIPSES OF THE SUN
(at. wt 226), Th X (at. wt. 224) and Ac X (at. wt. 222)
are examples of isotopes, each possessing a nuclear charge or
an atomic number of 88.
Since all masses are nothing more than electromagnetic
manifestations, and since the mass of the electron is very
minute and negligible compared with the mass of the nu-
cleus, it should be possible to compare the masses of dif-
ferent elements by subjecting them to successive electric and
magnetic fields. This method of " positive ray analysis "
developed by J. J. Thomson consists in measuring the ratio
of charge to mass. This was made possible by a beautiful
photographic method, which in the capable hands of Aston
has greatly improved our knowledge regarding the atoms. Al-
though demanding technical skill of a very high order, the
chemical examinations can be carried on by simple methods
leading to definite results. A small supply only of the gas
to be investigated is required ; it need not be chemically pure
nor need any special care be taken to wash away from the
vacuum tube all traces of the last gas investigated. Ac-
cording to Aston, it is impossible to remove from a tube " all
visible traces of a misspent career." Until quite recently
it was thought that the experimental measurements proved
that the elements whose atomic numbers are whole num-
bers, with oxygen assumed at 16.00, are pure elements, while
all other elements with fractional atomic weights are mix-
tures of isotopes, each of the isotopes however having a
whole number for its atomic weight. B (at. wt. 10.9) is a
mixture of two isotopes of masses n and 10; Ne (at. wt.
20.2) consists of two isotopes, masses 20 and 22; Mg (at.
wt. 24.32) is a mixture of three, of masses 24, 25 and 26;
Cl (35.46) consists of two, of masses 35 and 37; while Xe
and Hg are each made up of no less than 6 isotopes. This
conclusion has been greatly modified by the discovery that
each of the elements C, H and O has isotopes.
Our view is that the nuclei of all atoms are made up of
multiples of hydrogen nuclei each carrying unit positive
charge, the combination being bound together by the exter-
nal electrons. Hence the mass of the atom is confined to the
nucleus, but the size of the nucleus is very minute compared
THE STRUCTURE OF THE ATOM 237
with the whole volume of the atom. In fact, the radius
of an electron cannot be larger in comparison with the radius
of the atom than is the radius of the earth compared with
the distance from earth to sun. Each atom therefore forms
a miniature solar system, the external electrons being held
in place and compelled to perform their orbital motions by
the comparatively massive nucleus. Since there may be as
many as 92 external electrons, it is evident that modern
mathematics cannot furnish a general solution of the motions
of the electrons, except in the case of the very simplest of the
atoms.
Since the chemical and physical properties depend on the
distribution of the electrons of the outer atom, there have
been many attempts to formulate a structure for the atom.
From such attempts have gradually evolved atomic models
of many different types. The Lewis-Langmuir atom has
been very successful in explaining the chemical properties,
particularly the valence. This atom is not based on any
dynamic principles. Valence, which measures the power to
combine, may be positive or negative depending on whether
the atomic system has too many or too few electrons to
make a stable combination. The inert gases — helium, neon,
argon, krypton, xenon and radon — are elements which have
no power to form compounds. Such atomic systems under
ordinary conditions cannot capture an electron from an-
other atom, nor can they get rid of one of their own. The
inert gases have atomic numbers of 2, 10, 18, 36, 54 and 86,
and hence we may imagine the atoms as if made up of con-
centric shells of electrons, the shells containing 2, 8, 8, 18,
1 8 and 32 electrons respectively.
Except for the hydrogen system, all atomic structures
have the two electrons forming the system of helium as
their innermost shell. Since helium is inert and cannot take
up another electron; the third electron which forms lithium
must be a single electron in a shell exterior to the helium
system. The lithium system is therefore not very stable,
and readily gives up its external electron. It has a positive
valence of one. The system of fluorine, with seven electrons
in the second shell, may be regarded as being in a position
238 ECLIPSES OF THE SUN
readily to capture an electron from an atom in its neigh-
borhood, and so it has a positive valence of seven or negative
valence of one. Likewise oxygen may be regarded as having
positive or negative valences of 6 and 2 respectively. The
Lewis-Langmuir atom is very successful in explaining the
relative positions of the elements in the periodic table.
The electrons forming the atom of this model are relatively
fixed in position, for though each electron may be in motion,
it is confined to a small portion of the space occupied by the
atom. With the advance in knowledge this atomic model
has been superseded by others.
Great difficulties, however, appear when discussing atomic
models on the principles of physics, especially when there is
a transference of energy from place to place, or when the
motions of the atoms make them depart from the steady
state thereby causing emission or absorption of light. After
repeated failures to explain these matters by means of the
accepted theories, Planck made one of the most startling
proposals ever presented to the scientific world, from which
developed his celebrated quantum theory. According to
Planck, it was assumed that the transference of energy can
only take place in definite but very small units, and that
the total energy transferred is always an integral multiple
of this small unit, called the energy quantum. This can
be expressed simply in mathematical terms. If Ei and E2
represent the energy of a system before and after radiation
has taken place, then the energy spent in radiation is
Ei — E> = hv, where h is Planck's constant and v is the fre-
quency of vibration of the body concerned. This mathe-
matical equation gives expression to the simple statement
that the total amount of energy emitted or absorbed by a
radiating body is always proportional to the frequency of
vibration, which in turn is inversely proportional to the
wave-length of the light emitted or absorbed.
The very radical nature of Planck's hypothesis may be
estimated when it is stated that it stands at variance with
all the previously known laws of mechanics developed to
explain the motions of material objects of large dimensions.
As a matter of fact, there is no absolute necessity that the
THE STRUCTURE OF THE ATOM 239
same laws that apply to ponderable material in a gross state
must also be applicable to simple atoms. This duality of
laws, a topic of much heated discussion by physicists in re-
cent years, has given rise to the expression " classical dy-
namics " which explains the motions of matter in obedience
to the law of gravitation. One fundamental conclusion of
the quantum theory is that motion is not the continuous
process that we have accustomed ourselves all our lives to
believe; but the motion takes place " steadily by jerks/'
the jerks however being so small that the process is to all
practical purposes continuous.
Of the many atomic models proposed, the most successful
in explaining the physical facts, and more particularly the
spectroscopic data, is the Bohr-Sommerfeld atom. This was
first proposed in 1913 and it is based on Planck's quantum
theory of energy. In explaining the motions of the external
electrons, evidently little hope can be expected from the
classical dynamics, for this would require the solution of the
problem of n bodies when n is large. For the present, as-
sumptions must be made for the purpose of securing results,
and in spite of much inconsistency, the quantum theory of
spectra is the most satisfactory attempt so far made to-
ward interpreting spectral series. In the simple case of the
hydrogen atom and ionized helium, each with one external
electron, the Bohr-Sommerfeld method has been very suc-
cessful in reproducing many of the details of the spectra
both in electric and magnetic fields. On the basis of this
theory, the problem of atomic structure consists in building
up each atom in such a way that the passage of an electron
from one stationary state to another will give the observed
wave-lengths. Although the acceptance of the principles of
wave mechanics gives a better explanation of the theory of
spectra, nevertheless the Bohr atomic model is still useful
in explaining the facts.
In the investigations of spectra, the first of the lines to
show an arrangement in series were those due to hydrogen,
discovered in 1880 by Huggins in the spectra of white stars.
This series is an extension of the four lines visible in the
solar spectrum. A new era in spectroscopy started in 1885
240 ECLIPSES OF THE SUN
when the law underlying the hydrogen series was discovered
by Balmer. The thirty-five lines found in the flash spectrum
are represented by the formula
X =3646.125-^-
where X is the wave-length on Rowland's scale and m takes
the values 3, 4, 5. ...
Shortly afterwards, Kayser and Runge, and Rydberg in-
dependently, began the publication of their splendid re-
searches. Rydberg's investigations are of the greatest im-
portance since they have laid the foundation for all future
work on spectra in series. He began by sorting out doub-
lets and triplets and thus ascertaining the lines which belong
together in a series. He was able to distinguish three chief
kinds of series, as follows:
Principal, including the strongest lines
Diffuse, of intermediate intensity
Sharp, including the weakest lines.
Each of these three series may consist of single, double or
triple lines. Each and every series always converges to-
wards a limit at short wave-lengths, and the lines at the
same time diminish in intensity. A fourth so-called " fun-
damental " series with lines mainly in the infra-red has been
discovered by Bergmann.
Many and varied are the mathematical formulae em-
ployed to represent the series of spectra. The most satis-
factory formula, which is due to Rydberg, takes the following
form:
A N
Vm = A -
(m + ju)2
where A is the limit of the series, N is the " Rydberg con-
stant" for hydrogen, and the wave numbers vm are ob-
tained by assigning successive integral values to m. \i may
be regarded as a decimal part to m, though it is sometimes
greater than unity. For the details of the investigations of
THE STRUCTURE OP THE ATOM 241
series spectra, one would do well to read Fowler's excellent
Report on Series in Line Spectra, 1922.
Of special interest in dealing with the flash spectrum are
the investigations regarding enhanced lines. Fowler has
shown l that these lines form series entirely similar to those
of the ordinary lines. The formula representing the en-
hanced series, however, differs from that of the ordinary
series in that the Rydberg constant N is multiplied by 4.
This has a simple explanation from Bohr's theory. The or-
dinary series lines are emitted when an electron of charge e
returns to an atom from which it has been displaced. The
enhanced lines, on the other hand, are produced when an
electron returns to the atom which has already lost another
electron through ionization; consequently, two electrons
are detached from the atom, each electron carrying a charge
e, or a total charge 2e. The formula for the Rydberg con-
stant TV, involves the square of the charge e, and hence for
the enhanced lines the multiple 4 appears. Enhanced lines
therefore belong to the ionized atom, or one which has lost
a negative electron and hence carries an excess of positive
charge. According to a suggestion by Saunders, He-\- and
C0+, refer to ionized helium and calcium, the addition of
the + sign following the chemical symbol signifying that the
atom is not electrically neutral but carries a unit + charge.
After an atom has lost one electron and thus becomes ion-
ized, it may lose a second electron and become " doubly
ionized." The symbol adopted for calcium under these con-
ditions is Ca++? the atom carrying two extra positive
charges. According to Bohr's theory, the charge concerned
in the production of spectrum lines by such an atom is 30,
and hence the Rydberg constant TV must be multiplied by 9.
This is not the place to give the mathematical theories
underlying the formation of spectrum lines, but a synopsis
may be given of the more important developments found in
Fowler's Report on Series in Line Spectra, 1922, and in
Russell, Dugan and Stewart's Astronomy, 1927. Any ac-
cepted theory must explain why the frequency of any line in a
spectrum appears always as the difference between the terms
1 Phil. Trans. A. 214, 225, 1914.
242 ECLIPSES OF THE SUN
of a quantity, neither of which represents a spectral line,
and must furnish an explanation of the physical meaning
of the two terms, and must further explain how an emitted
frequency comes to be the difference of two of these.
Adopting the idea of Rutherford, outlined above, that
each atom consisted of a heavy nucleus carrying a positive
charge which was surrounded by negative electrons, Bohr
was able to give a satisfactory theory in the case of the sim-
plest type of atom. The hydrogen atom is such a unit since it
consists of a single electron in orbital motion around the nu-
cleus, and equally simple are the atoms of enhanced helium
and doubly enhanced lithium. According to the Bohr
theory, the single external electron is free to traverse cer-
tain specified orbits, which are determined in the simple
case of circular orbits by the condition that the angular
momentum is an integral multiple of h/2 IT, where h is
Planck's constant, derived from the quantum theory. When
the motion of the electron is confined to one of these sta-
tionary orbits, there is no radiation. Emission occurs
only when the electron passes from one stationary orbit to
another. Without attempting to explain the mechanism
which causes the electron to pass from orbit to orbit, Bohr
supposes that the transition is followed by the emission of
light, the frequency of which can be determined from the
quantum theory. In fact, the energy radiated is equal to
the differences of the energies of the electron in the two
orbits concerned, and is assumed to be one quantum of
energy, hv, where h is again the Planck constant and v
is the frequency. At a given instant, any one electron falling
from an external to an internal orbit causes one line only
in the spectrum, and it is the summation of the actions of a
large number of electrons that causes the whole series of
spectrum lines.
By the elementary laws of mechanics, it is possible to de-
rive the necessary equations for orbital motion. Taking
E and M as the charge and mass of the nucleus, e and m as
the charge and mass of the electron, c the velocity of light,
and v the wave-number of the line, then for the case of
hydrogen
THE STRUCTURE OF THE ATOM
243
2?rz Jf e (i i
v = — m(-~- - —
ch* W /22
where ti and /2 are integers.
This formula is of exactly the same form as that which
represents the Balmer series of hydrogen, the quantity out-
side the brackets representing the Rydberg constant. In
fact, as a splendid confirmation of Bohr's theory, the Ryd-
berg constant, N, calculated from Millikan's data, furnishes
a value which agrees with that found from spectral series
within an accuracy of one part in 1000.
FIG. 4 Orbits of the hydrogen atom.
The successive orbits of hydrogen are in the ratios r, 22,
32. . . In the normal state of the atom the single electron
revolves in the innermost orbit. When the atom is disturbed
246 ECLIPSES OF THE SUN
ionized helium have been measured by Plaskett in certain
O-type stars. At the position of HOL the difference in wave-
length from the hydrogen to the helium line is 2.63 A, while
at H6 this diminishes to 1.54 A.
It has thus been found that the enhanced spectrum of
helium resembles that of neutral hydrogen, and in exactly
similar manner it has been concluded that in all details (even
in showing doublets or triplets in their spectra) the enhanced
spectrum of an alkali earth (like Mg) resembles the arc
spectrum of the alkali metal of next lower atomic number
(like No). It has further been concluded that this relation
exists for all alkali earths and alkali metals. In fact, this
similarity in spectra between neighboring elements in the
periodic table appears to be a general rule, namely, that the
enhanced spectrum of any element resembles the arc spectrum
of the element of next lower atomic number. If an element
loses two electrons, and is therefore doubly ionized, its spec-
trum, for the same reason, should be similar to the arc spec-
trum of the element of second lower atomic number. Fowler
has succeeded experimentally in discovering doubly- and
also trebly-ionized silicon. Interesting comparisons have
been made by him between the spectra of trebly-ionized Si,
doubly-ionized Al, singly-ionized Mg and neutral Na, i.e.,
between the spectra of four succeeding elements in the pe-
riodic table of page 306. In the laboratory Millikan almost
at will has been able to strip external electrons from atoms.
Although the mathematical analysis for a generalized
theory has been too difficult to follow through to completion,
nevertheless the Bohr theory has been successful in placing
spectrum analysis on a very firm foundation. Further de-
velopments will be treated in the following chapters.
CHAPTER XV
PHOTOGRAPHING THE FLASH SPECTRUM
HALF a century of remarkable progress in solar
physics since Young first observed the flash spectrum
at the eclipse of 1870 saw a vast diversity of opinion
regarding conditions of temperature and pressure in the
envelope causing the dark Fraunhofer lines. On the one
hand appeared Young's original view that the reversing
layer is a thin shell but a few hundred miles in thickness,
while on the other extreme we had Lockyer's opinion that
such a reversing layer does not exist and that the corona is
merely the cooler and rarer portion of the chromosphere.
Within the past decade, however, the enormous increase in
knowledge concerning the structure of the atom, explained
in the preceding chapter, coupled with the publications of
discussions of the spectrum of the chromosphere obtained at
solar eclipses, has resulted in the solution of many of the
outstanding problems relating to the sun.
In spite of the enormous improvement in recent years in
instrumental equipment and in technique, it is still no exag-
geration to state1 that it is more difficult to secure a per-
fectly successful photograph of the spectrum of the chromo-
sphere than it is to obtain an excellent photograph of any
other single phenomenon attacked by astrophysical science.
Witness the fact that since its first observation in 1870, the
flash spectrum has continually been and still remains one of
the most important of all problems taken up for solution at
each succeeding solar eclipse. It is now nearly forty years
since the first photograph of the flash spectrum was ob-
tained, but in this interval of time, comparatively long when
judged by the attainments of modern science, there have
1 Cf. Handbuch der Astrophysik, 4, 275, 1929.
247
248 ECLIPSES OF THE SUN
been more than one hundred attempts to photograph the
flash spectrum; and yet there are not more than a half
dozen photographs which may be considered to rank as first
quality. Of course, it is perfectly true that many of the
attempts might have succeeded had it not been for clouds,
or thin haze, or poor atmospheric conditions, yet the fact
remains that the great majority of those photographs which
escaped the clouds have suffered from lack of perfect defini-
tion or from inaccurate timing of the exposures.
At an eclipse, the flash spectrum may be observed visually
or photographically, either with or without slit, and by means
of prisms or gratings. The researches of the present day
demand large dispersion. The type of spectrograph depends
very largely on the particular problem which the eclipse ob-
server desires to solve. The great advantage of the prism
is the greater light-gathering power, the light being concen-
trated in one spectrum, but on the other hand the grating
possesses many points in its favor. The lines in the prismatic
spectrum are crowded together at the red end and widened
out at the blue part of the spectrum, thus entailing much
difficulty in the determination of wave-lengths. The grating
gives a normal spectrum, permits of higher dispersion, and
gives higher resolving power, a larger extent of spectrum
and probably better definition. Gratings either plane or
concave may be used, but with a flat grating a lens becomes
necessary to bring the spectrum to a focus, and such a lens
introduces aberrations and absorption of light, and conse-
quent loss of definition. In the past, plane gratings have
been used at eclipses, but for the future it is safe to predict
that whenever gratings are employed for the chromosphere
they will be concave gratings and not plane.
The spectrograph which lends itself most readily to the
easiest and sharpest focus under the temporary conditions
of eclipse observations is undoubtedly one used with slit.
For this purpose it is possible to take bodily into the field a
spectroscope of the type that has been thoroughly tested
and tried out on stars in the regular work of the observatory.
This instrument is universally a prism spectograph with
prisms of the very highest quality. It is readily possible to
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PHOTOGRAPHING THE FLASH SPECTRUM 249
test thoroughly the spectograph at home and then to mark
carefully the positions of the focus for collimator and camera
before dismounting. It is the work of a short while to again
assemble the spectrograph at the eclipse site, and since the
whole spectrograph is comparatively light in weight it can
easily be picked up and set down anywhere. For instance,
it is readily possible to test the focus thoroughly by the use
of the electric arc, or by taking a focus plate of the daylight
sky. At the time of the eclipse such an instrument is ordi-
narily used with a heliostat or coelostat mirror, and with the
employment of a lens or concave mirror for forming an image
of the sun on the slit of the spectrograph. With this type
of spectrograph an eclipse observer should be absolutely
certain to secure spectra of the chromosphere in excellent
definition at each and every eclipse where clouds do not
interfere. The only chances of failure with such an instru-
ment are poor focus of the spectrograph and inability to
keep the portion of the image of the sun, selected for observa-
tion, on the slit at the time of the eclipse. Any observer
skilled in observatory manipulation through long years of
handling a slit spectrograph should be ashamed to admit
that the focus was poor due to the lack of careful methods
of adjustment. There is however some excuse if a skilled
astronomer fails to keep the slit of the spectrograph filled
with light for the reason that the few moments of an eclipse
are very tense and excited, the light at totality is feeble, and
after all, even an efficient observer must at some time in his
career see his first total eclipse — and he will have few oppor-
tunities of witnessing others.
By the use of slit spectrographs, the British observers have
obtained excellent photographs of the flash spectrum. At
the 1926 eclipse observed in Sumatra, Davidson and Strat-
ton * used a quartz spectrograph designed to photograph to
the extreme limit of the ultra-violet. The prism train con-
sisted of four double quartz prisms of 60° angle, each prism
being composed of two half-prisms of right- and left-handed
quartz. The collimator and camera objectives were each
a single quartz lens of 3 -inches aperture and 36-inches focus.
1 Memoir R. A. S., 64, 105, 1927.
250 ECLIPSES OF THE SUN
Excellent definition was secured between wave-lengths 3066
A and 4200 A.
The greatest dispersion ever used at an eclipse, before
that of 1932, was employed by Pannekoek and Minnaert1
in 1927. Their optical system consisted of many elements
each of unusually large dimensions. After reflection from
the coelostat mirror, the rays passed first through an image
lens 10 inches in diameter. After passing through a slit, a
totally reflecting prism turned the beam through 90°, while
next in the train came a triple collimating lens of 6-inch
diameter. After traversing three prisms of 45° angles and
large enough to receive the full beam of light, the rays were
reflected from a plane mirror, and then they passed in re-
versed order through the prisms and 6-inch objective, which
now became the camera lens for forming an image on the
photographic plate. Good definition was obtained in the
region of wave-lengths 4153 to 4751 A.
Although it is easier to photograph the flash spectrum by
using a slit, nevertheless a slit is entirely unnecessary, the
crescent arcs of the chromosphere providing narrow curved
lines in the photographed spectrum. Good reasons for dis-
carding the slit will be given later. However, it is a much
more difficult task to secure perfect focus of the chromo-
spheric spectrum without a slit, either by the use of objective
prisms or grating. Slitless spectrographs of the power essen-
tial for the flash spectrum are practically never used in
observatory or laboratory. In stellar work, a prism is placed
in front of the objective, forming what is universally called
a " prismatic camera. " For many long years this type of
instrument has been used in routine observatory work, but
ordinarily the dispersion is small and therefore unsuited to
making any contribution to our present knowledge of the
flash spectrum. The dispersion of such a combination may
be increased by two different methods: (i) by increasing
the focal length of the objective; or (2) by increasing the
number of prisms. At the 1926 eclipse, Davidson and Strat-
ton used an ingenious device, the camera of ig-foot focus
being utilized in a dual capacity. With a direct- vision slipped
1 Verh. Kon. Akad. ie Amsterdam, 13, No. 5, 1928.
PHOTOGRAPHING THE FLASH SPECTRUM 251
in front of the objective the flash spectrum was photographed,
while with the prism removed, direct photographs of the
corona were obtained. Even with the moderate focal length
of 19 feet, necessary to secure the desired dispersion, the
crescent arcs were two inches in diameter on the photo-
graphs. As will be explained later, the average conditions
of seeing experienced at eclipses may cause these crescents
forming the lines of the spectrum to lose their clear-cut char-
acter in spite of the fact that the focus of the instrument
may be perfect. None of the half dozen photographs of the
flash spectrum which the writer regards as of the highest
class of excellence have been obtained by this type of in-
strument, where the increased focal length of the camera has
been relied upon to increase the dispersion.
On the other hand, excellent spectra have been obtained
by objective prisms without the use of slit, through the em-
ployment of additional prisms to increase the dispersion.
At the eclipse of 1905 in Spain, Campbell 1 secured exquisite
definition with two 60° prisms in front of an objective of
2 -inch aperture and 6o-inch focus. Lines were recorded
between wave-lengths 3820 and 5300 A, though the defini-
tion began to fail in the neighborhood of 4650 A. The dis-
persion at Hy was 5.7 A per mm. A moving plate was used
in forming the spectra, a method which will be explained
later. At the Flint Island eclipse of 1908, Campbell in-
creased the dispersion by the use of three 60° prisms and
an objective of 60 inches focal length, the dispersion being
about double that obtained by him in 1905. At Hy this
amounted to 2.9 A per mm, almost as great in scale as in the
1927 spectra of Pannekoek and Minnaert.
In the observation of eclipses, my own work has always
been spectroscopic. I have always employed gratings and
have used them without a slit. My record as an eclipse ob-
server is probably unique. I have observed eight solar eclip-
ses, and yet neither the Leander McCormick Observatory
nor I, personally, owns a single piece of eclipse apparatus;
at each eclipse everything must be borrowed. At my latest
eclipse, in 1930 at Niuafoou Island, I had two concave grat-
1 Publications of the Lick Observatory, 17, i, 1931.
252 ECLIPSES OF THE SUN
ings. All of the equipment used at this expedition belonged
to the U. S. Naval Observatory with the exception of one
grating of 4-inch aperture kindly loaned by my good friend
Saunders of Harvard University. This grating has been
with me at every eclipse since 1905. Photographs of the
flash spectrum were obtained in all but two of the eclipses,
in 1923 in California and in 1927 in Norway. The results
from the photographs obtained under clear skies in 1905
and 1925 have been published in Astrophysical Journal, 71 ,
i, 1930, and 72, 146, 1930. The other concave grating used
in 1930 was of 6-inch aperture. Both gratings are of lo-foot
radius of curvature (or 6o-inch focus) and each has approxi-
mately 15,000 lines per inch. The dispersion is 10.9 A
per mm. At this recent eclipse, excellent definition was
obtained from 3200 in the violet to 7800 A in the red,
the region 4650 to 6800 A being photographed by both
spectrographs. The discussion of these spectra has not been
completed. The same two gratings will be employed at the
1932 eclipse.
The arrangement for using the concave grating without a
slit is one of the greatest simplicity. The light from the sun
falls directly on the coelostat mirror and then after reflec-
tion the beam of parallel light falls on the grating where it is
diffracted and brought to a focus on the photographic plate.
If the grating and the photographic plate are each perpen-
dicular to the line joining their centers, the spectrum is nor-
mal, or to speak in more exact terms, the spectrum departs
very little from a uniform scale of wave-lengths.
Used in the ordinary Rowland form of mounting in the
laboratory, one of the well recognized advantages of the
concave grating is the property of " astigmatism/' whereby
the spectrum lines are increased in length. If the astigma-
tism should be of approximately the same amount when the
grating is used objectively without slit, then as a result of
lengthening out the chromospheric lines, which are neces-
sarily curved, the definition would be ruined. Consequently,
in making plans for 1900, when concave gratings were used
for the first time at an eclipse, the Naval Observatory party
did not dare attempt to use such a grating without slit.
PHOTOGRAPHING THE FLASH SPECTRUM 253
The successful photographs of stellar spectra l secured by
concave grating used objectively showed however that these
fears were groundless. Moreover, Runge's discussion of the
theory of the concave grating, in Kayser's Handbuch der
Spectroscopie, i, 450, 1900, proved that the amount of as-
tigmatism for a concave grating used in the objective form
would be so minute that it could have no harmful effects
on the definition of the spectra.
It should hardly be necessary to add that the grating
spectroscope must be very firmly mounted on solid piers of
masonry or heavy timbers in order that the tremors of the
apparatus caused by the wind or by the changing of the
plate holders may quickly subside. It is manifestly difficult
to mount such an instrument of large dispersion on an equa-
torial mounting or on a polar axis, with the grating in conse-
quence directly exposed to the sun's rays. This method
would indeed get rid of the coelostat mirror with its possible
change in figure, but if this plan were followed, it would
probably be a case of " out of the frying pan into the fire."
It might not be out of place to call attention to the very
great difficulty always experienced by eclipse observers in
securing sharp focus with their spectroscopes; as stated, one
very prominent feature of eclipse spectra in the past has
been the continued succession of photographs poorly fo-
cused. One method of securing focus frequently made use
of has been to apply the final adjustments by utilizing the
spectrum of the disappearing crescent of the sun a few
minutes before totality. During the excitement and nerve-
racking tension of these moments, a perfect adjustment can
be obtained in this manner only as the result of a happy acci-
dent — and this method should never be resorted to under
any circumstances. For instruments of small dispersion, the
light from a star may be utilized for securing focus, if hap-
pily some bright star is conveniently located, but for spectro-
graphs of the greatest dispersion the spectra even from the
brightest of the stars are too weak. For large instruments,
there is left only the option of securing focus on the sun itself
or the electric arc several days before the eclipse by the em-
1 Astrophysical Journal, 10, 29, 1900.
254 ECLIPSES OF THE SUN
ployment of some sort of collimating device which will give
a parallel beam of light coming from a slit source. For the
use of the U. S. Naval Observatory party at the eclipse of
1905, Jewell constructed a collimator consisting of a slit at
the common focus of two concave mirrors, lenses not being
used because of their chromatic aberrations. Several meth-
ods of placing the slit at the common focus of the mirrors
will at once suggest themselves to any ingenious eclipse ob-
server, one of the simplest being to utilize a telescope of me-
dium size (say of five inches aperture) accurately focused on
the stars.
The author has always made it a habit to be at the eclipse
site a month or more in advance so that there may be plenty
of time to secure exact focus without too much rush and
excitement immediately preceding the eclipse. The collima-
tor described above has always been utilized. When electric
power is available, it has been found easier and more efficient
to use the electric arc as the source of light for adjusting
rather than the sun. This method was followed in the
eclipses of 1923, 1925 and 1927. At the " Tin-Can Island "
eclipse there was no electric power, and hence there was noth-
ing to do but use the tropical sun as the source of light during
the weeks of adjustment. The difficulties underlying this
process are at once evident. In the optical train while ad-
justing, there are four mirror surfaces: the coelostat of
silver-on-glass, the two metal mirrors of the collimator and
the grating itself. In the adjustment, the slit becomes the
source of light, and hence it is of minor importance if the
coelostat mirror is not plane or if the slit is not in the exact
focus of the first collimator mirror which forms the image
of the sun on the slit.
Unfortunately, mirrors alter their focal lengths with
changes in temperature, a fact well known to every astrono-
mer with experience with a reflecting telescope. Excellent
focus of the flash spectrum requires, among other things, that
on the eclipse day the coelostat mirror be plane and not
warped by the direct rays of the sun. (The mirror is always
screened from sunlight until a few minutes before totality.)
No matter how much time has been spent nor how much care
PHOTOGRAPHING THE FLASH SPECTRUM 255
in the determination of focus, the great fear is always present
lest the grating alter its focal length owing to changes of
temperature between the time of adjustment and the time
of the eclipse. This requires that the wooden boxes and
plate holders of the spectrograph should not expand enough
to deteriorate the focus. And all of these nice adjustments
had to be made and relied upon at the recent eclipse on a
tropical island, with clouds always interfering with the work,
with the dark-room during the daytime with temperatures
that felt like inferno, and with no ice and no running water
for development of the photographs. The trials and tribu-
lations of an eclipse astronomer are many, especially when
it is necessary to work with apparatus which is temporary
and always borrowed !
With the collimator placed in the beam of light between
coelostat mirror and grating, the focus was first determined
visually with as great care as possible. For improving the
focus, about a hundred and fifty focus plates were taken.
The extreme range of focus in the last hundred of these films
was but a fiftieth of an inch together with slight changes in
the tilt of the photographic film.
The best type of spectograph to plan for the photography
of the flash spectrum will unquestionably be the one that is
able to make the greatest contribution to the solution of solar
problems. With the gigantic equipment of great observa-
tories working assiduously on the dark-line absorption spec-
trum of the sun, with the knowledge of the structure of the
atom gleaned in recent years from refined researches in ob-
servatory and laboratory, how can the bright-line emission
soectrum of the sun photographed with comparatively sm^ll
dispersion best contribute to these investigations by supple-
menting daily researches? The chromospheric soectra ?*re
investigated in order to ascertain: (i) wave-lengths; (2) in-
tensities of the lines; and (3) the heights in miles or kilo-
meters that the vapors extend above the photosphere.
It will be shown later that the intensities of the lines of the
flash spectrum depend on a great many different considera-
tions, the timing of the exposures, the heights and whether
the spectrograph is with slit or slitless. For refined work
256 ECLIPSES OF THE SUN
where the intensities are measured by a microphotometer, all
of the various factors must be taken into account. If, how-
ever, the intensities are estimated on an arbitrary scale in
the manner of Rowland's Tables, these estimates may be
carried out with about equal facility no matter what the
type of instrument. Consequently, in making a decision
regarding the best type of spectrograph, the question of in-
tensities may be laid to one side. One has a choice that
is accordingly much limited. Are exact wave-lengths of the
chromosphere of the highest importance?
If the decision is made in the affirmative, then it might
seem that we should adopt a slit spectrograph. With equal
dispersion and equally sharp focus, the wave-lengths derived
from a slit spectrograph will however be superior in accuracy
to those with slitless instruments in the measurement of the
strongest lines of the spectrum only. If the observer is care-
ful to place the slitless spectrograph in such a position that the
tangents at the centers of the chromospheric arcs lie parallel
to the lines of the grating or to the edge of the prism, or in
other words, so that the spectral lines are perpendicular to
the length of the spectrum, then these spectra are sharp and
clear-cut and wave-lengths can be determined with high pre-
cision. With the strongest lines in all spectra there is always
a spreading of light on the photographic plate by irradiation.
If a slit is employed this spreading is fairly symmetrical,
while without a slit the spreading is not symmetrical due to
the interposition of the moon and to the elevation of the
heated vapors above the surface of the photosphere. Slitless
spectra of the chromosphere consequently demand greater
experience and judgment in the person who measures these
spectra with the result that the precision of the wave-lengths
will depend to a large measure on the skill of the measurer
in his ability to allow for the effects of irradiation.
With the small amount of light available at eclipses and
brief exposures of a few seconds, it is possible only to utilize
a dispersion small in size when compared with the much
greater dispersion in the every-day solar investigations, such
as are carried out with the i5q-foot tower telescope and 75-
foot spectrograph of the Mount Wilson Observatory. A
PHOTOGRAPHING THE FLASH SPECTRUM 257
dispersion of about 2 or 3 angstroms to the millimeter is
about the maximum possible with the flash spectrum and this
permits an accuracy of wave-lengths of about 0.02 angstroms.
Such an accuracy is much inferior to that employed in ordi-
nary solar work, and is not sufficiently high to permit the
determination of systematic differences between eclipse
wave-lengths and those taken under ordinary solar condi-
tions. Accordingly, chromospheric wave-lengths practi-
cally can serve no other purpose than the identification of
lines for accurate comparisons with Rowland's Tables in
order to determine the sources whence the spectral lines
originate.
As a matter of fact, no photographs of the flash spectrum
taken with a slit have furnished any more accurate wave-
lengths than those of the 1905 eclipse taken by concave
grating without slit. It therefore appears open to question
whether spectrographs with slits will give wave-lengths of
greater accuracy than those of the slitless variety.
If, therefore, we assume that both wave-lengths and in-
tensities of the spectral lines may be determined with equal
accuracy with slit and slitless instruments of about the same
dispersion, the choice of the best type of spectrograph for
the flash spectrum must be decided by the ability of the
two different types of instruments to give information re-
garding the heights to which the chromospheric vapors extend
above the surface of the photosphere. The decision can
now be made in the easiest possible manner. Spectrographs
without slits give vastly more information about levels than
can possibly be derived from any form of slit instrument.
It is, accordingly, the firm opinion of the writer, who has
confined his attention at eclipses exclusively to the photog-
raphy of the flash spectrum, that an observer who chooses a
slit spectrograph to photograph the flash spectrum delib-
erately thrusts to one side the most valuable information that
can come from the chromospheric spectrum, namely, the
heights to which the vapors extend above the sun's surface.
On the other hand, it is well not to forget that a spectrograph
with slit readily permits a more accurate and reliable de-
termination of good focus under the temporary conditions of
258 ECLIPSES OF THE SUN
eclipse observation than is possible with any form of slitless
instrument. It would therefore perhaps be good advice to
say that if an astronomer is to observe his first eclipse and
wishes to do some work of value, he had better try to photo-
graph the flash spectrum using a slit spectrograph with fair
dispersion, for instance, about equal to that of the Mills
spectrograph of the Lick Observatory or the Bruce of the
Yerkes Observatory. For such work it will be well for him to
confine his attention to the blue end of the spectrum on ac-
count of the greater dispersion of his spectrograph in this
region and on account of the greater number of lines in the
flash spectrum.
It is impossible to exaggerate the importance of securing
the photographs of the flash spectrum at the proper instants
of time so as to secure the spectra of the layers of the chromo-
sphere as close to the photosphere as possible. At an eclipse,
there are two manifestations of the flash, one at the begin-
ning and one at the end of totality. Before the begin-
ning of the total eclipse, the Fraunhofer lines persist as long
as there is any portion of the photosphere visible, but when
the moon entirely covers the sun's surface, or at the very in-
stant of the beginning of totality, there is the sudden re-
versal of the Fraunhofer spectrum to that of bright lines.
If one watches the phenomenon visually with some form of
spectroscope, he will see many of the high level lines reversed
many minutes before totality, particularly at the cusps.
The plan for securing photographs at the proper times al-
ways followed by the author is an old familiar one. A pair
of old-fashioned binoculars is used and over one lens there is
a direct-vision spectroscope. The one used in recent eclipses
is a replica transmission grating of 15,000 lines per inch.
With this it is possible to observe any particular portion of
the spectrum one wishes. With a pair of binoculars and such
an attachment, it is possible with the left eye to watch the
disappearing crescent of the sun, shielding the eye by smoked
or colored glass, while with the right eye the emission lines
can be watched as they appear one after the other with the
approach of second contact. Armed with this, the first flash
can be observed and the exposure started with great nicety.
PHOTOGRAPHING THE FLASH SPECTRUM 259
On account of the uncertainty in our knowledge of the exact
duration of totality still persisting, one will be wise to de-
cide that the exposure for the second flash should begin five
seconds before the calculated end of totality, and should ter-
minate with the first trace of the reappearing sun. A delay
of one-tenth of a second in ending the exposure may readily
bring ruin to this exposure. In photographing the flash spec-
trum at an eclipse it is evident that the important photo-
graphs are two, one at the beginning and one at the end of
totality. Ordinarily, additional photographs are made, just
before and immediately after totality, for the Fraunhofer
and any emission lines. During totality, several short ex-
posures are given, just after the first flash and again before
the second flash, for the vapors of greater elevation, with a
long exposure or two at mid-totality to obtain the spectrum
of the corona which appears as a series of complete rings.
My little pair of binoculars just described gave me at the
1930 eclipse a most gratifying view of the flash spectrum,
both at the beginning and at the end of totality. One great
handicap in eclipse work is that in one's lifetime there are so
few opportunities to rehearse. The 1930 photographs show
that my reaction time (like that of everybody else who
has ever photographed the flash spectrum ) is not instantane-
ous; the first flash does not record the chromospheric lines
of lowest level. At the end of totality, I kept the exposure
going as long as I dared, and the photograph shows almost
perfect timing.
It need hardly be added that the times of first and second
flash, recorded preferably on the chronograph, will furnish
excellent observations of the beginning and ending of the
total eclipse. On account of the rough character of the
moon's edge, these times will not agree with those recorded
from the last appearance and first reappearance of Baily's
beads — which brings up anew the time-honored question of
what one means by the " beginning " and " ending " of a
total eclipse.
The above descriptions of slitless instruments and meth-
ods of obtaining the flash spectrum all refer to a stationary
photographic plate where the lines of the spectrum consist of
260
ECLIPSES OF THE SUN
a series of crescents. At the eclipse of 1898 in India, Camp-
bell tried out an ingenious innovation of placing a narrow
slot directly in front of the photographic plate in the manner
shown in Figure 5 ; and then moving the photographic plate
uniformly in a direction perpendicular to the slot. The same
procedure was followed at the eclipse of 1900 in Georgia,
1905 in Spain and 1908 in Flint Island. The best definition
of the four eclipses was obtained in 1905. After a delay of
FIG. 5 The moving-plate spectrograph
more than twenty years, a discussion by Menzel, together
with an introduction by Campbell, has recently appeared in
handsome form as Volume XVII of the Publications of the
Lick Observatory. This volume forms a magnificent con-
tribution to the study of solar problems, quite in keeping with
the high standard of excellence set in the past forty years in
the observation of eclipses by the Lick Observatory and by
Dr. Campbell, its director for much of this period. The
author wishes to express his highest praise of the beautiful
Lick spectra and of the splendid character of the discussion.
If the moving plate is set in motion about twenty seconds
before the beginning of totality, it will automatically record
the gradual appearance as bright lines, first of the lines of
highest level, then of medium level lines and then the spec-
tacular appearance of the flash spectrum in the manner
described by Young at the eclipse of 1870. At the end of
totality the plate should be started more than five seconds
before the calculated end of totality in order to photograph
the second appearance of the flash spectrum in reversed or-
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PHOTOGRAPHING THE FLASH SPECTRUM 261
der. Facing page 260, there is a reproduction of the Lick
moving plate of the second flash of the 1905 eclipse. The
strip of normal Fraunhofer spectrum of the sun appended
below for comparison was taken by Menzel with the original
1905 apparatus reassembled after more than twenty years
and with the addition of a slit and collimator lens. The
streaks running lengthwise throughout the spectrum are
caused by the non-uniform motion of the photographic plate.
It is interesting to compare the details of this moving plate
spectrum with that taken by the author with fixed plate, as
shown facing page 248. The spectra taken by the two
methods refer to the same (1905) eclipse and both were
taken at the end of totality. In the original spectra, in the
region near the strong H and K lines shown to the left on
page 248, the Lick moving plate had three times the disper-
sion of the fixed Mitchell plate.
One obvious and important advantage of the moving over
the fixed plate is that the former makes less drastic demands
on the ability of the observer to time his exposures so as to
reach the lowest possible levels. Another advantage is that
the moving plate records the gradual changes from the dark-
to the bright-line spectrum at first flash, and in the reversed
order at second flash. The fixed plate makes the record in
discontinuous exposures, the moving plate has a continuous
record.
Now that the Lick results have been published, it is pos-
sible to compare the relative merits of the fixed and moving
plates for the photography of the flash spectrum. When
the performances of any two spectrographs are compared, it
is almost the universal custom among skilled spectroscopists
to draw conclusions only when the two instruments have
nearly identical optical powers, but more particularly when
the dispersion is nearly the same for each. By disregarding
this basis of comparison, many mistakes have been made in
interpreting the results of the flash spectrum, the most out-
standing probably being that by Lockyer, referred to on page
162, who compared the number of lines in the flash spectra
photographed in 1893 and 1896 with the number found in the
great Rowland Atlas obtained with vastly superior definition
262 ECLIPSES OF THE SUN
and dispersion. One is therefore surprised to find Campbell
(loc. cit.) comparing the number of spectral lines of the
1905 and 1908 moving plates with those given by the 1905
fixed plate with concave grating, and then drawing conclu-
sions in spite of the fact that the 1905 moving plate had twice
the dispersion, and the 1908 plate four times the dispersion
in the region of wave-lengths common with the concave grat-
ing photograph.
Investigations of the flash spectrum are attempted in order
to photograph the solar spectrum under conditions differing
radically from those of every-day observation without an
eclipse. The heights to which chromospheric vapors extend
are of the very greatest value in furthering solar research.
Hence, if comparisons are made of fixed and moving plate
spectrographs having the same dispersion, then it should be
easy to decide which method will furnish heights with the
maximum of accuracy and which will be most efficient in re-
cording the greatest number of lines. Of course, it goes
without saying that the dispersion of both fixed and moving
plate spectrographs should be as great as possible. A com-
parison is not now being made of the relative merits of prism
or grating spectrographs for the reason that either type of
instrument may be combined with either fixed or moving
plate.
Under ideal conditions of perfect timing and circular edges
of both moon and sun (the moon without mountains and val-
leys, the sun without prominences), the flash spectrum ap-
pears at the instant that the whole photosphere is covered up
by the moon, hence with edges of sun and moon tangent as
in Figure 6. The fixed plate records the crescent arcs. A
knowledge of the angular diameter of the sun and the aug-
mented diameter of the moon furnishes a ready method of
deriving from the spectra the heights to which the chromo-
sphere vapors extend. Measurements are made of the angu-
lar length of the different arcs, or more simply by the meas-
urement of the half -chord of this arc yo in Figure 6. Under
the ideal conditions outlined above, the chromospheric arcs at
their middle, or at the horizontal line in Figure 6, represent
in each spectral line the radiations from all levels of the
PHOTOGRAPHING THE FLASH SPECTRUM 263
chromosphere lying above the photosphere. At a height of
y<> equal to 2.0 mm on the original spectra of 1905 (with a
focal length of 60 inches) each of the crescent arcs repre-
sents the chromosphere at levels that are above 700 kilo-
meters, a half-chord of 3.0 mm in each case gives the condi-
tions at levels above 1600 km. At a value of y<> equal to 5.0
FIG. 6 Measuring the heights of solar vapors.
mm, the tip of a high level cusp is reached and this tip fur-
nishes a detectable amount of radiation impressed on the
photographic plate. At the tip of this chromospheric arc,
therefore, only those radiations reach the photographic plate
which come from emitting atoms above the 5000 km level.
Hence each chromospheric arc, both above and below the
middle of the arcs as recorded in the spectrum, gives a record
of the radiations at the photosphere and at higher and still
higher levels as the tips of the arcs are approached. If the
tip of the chromospheric arc comes at a half-chord measured
at 2.0 mm, then the radiations above the 700 km level are
sufficiently active to give a blackening of the photographic
image strong enough to be detected. The " height " is then
said to be 700 kilometers. Under the actual conditions at
264 ECLIPSES OF THE SUN
the time of the eclipse, neither the edge of the moon nor that
of the sun is circular in outline, nor is the exposure of the
flash spectrum an instantaneous one, and the scale of heights
is accordingly modified. The moon has mountains and val-
leys projected against the edge of the sun, which has promi-
nences. The chromospheric arcs will present a picture of
these effects. If these arcs are very irregular, then mani-
festly it would be difficult to get reliable information re-
garding heights, particularly if a large and active prominence
is projected near the tips of the chromospheric arcs.
With the moving plate method, all features of the chromo-
spheric arc are exactly as for the fixed plate outline above,
the only difference being that the slot used with moving plate
concentrates attention on a definite section of the chromo-
spheric arc. With the arrangement used at the 1905 eclipse,
the slot width uncovered a layer of 300 km at one time. As
the eclipse progressed the moving plate furnished an inte-
grated picture of what was happening within this layer 300
km in height.
In the earlier editions of this book, and also in the memoir
in Volume IV of Handbuch der Astrophysik, the author has
stated that one decided objection to the moving plate method
is that at the time of an eclipse the slot might readily be
superposed on a section of the sun where there was an erup-
tive prominence. At the eclipse of 1918, the " Heliosaurus "
shown facing page 196 was exactly at the position of third
contact. At the eclipse of 1919, another large prominence
group is shown facing page 272.
The Lick observers recognize the force of this criticism as
is shown by the following (loc. cit. p. 249), " One valid ob-
jection to the moving plate is that, if the image of a promi-
nence falls on the plate, the resultant heights would be diffi-
cult to interpret." Hence at the latest eclipse observed with
moving plate, that of April 28, 1930, the Lick observers ex-
amined the solar image just before the beginning of totality
in an effort to set the slot on a portion of the sun devoid of
large disturbances. One unfortunate feature resulting from
this attempt * was the failure to photograph the layers of
1 Publ. A. S. P., 42, 131, 1930.
PHOTOGRAPHING THE FLASH SPECTRUM 265
lowest level owing to the plate not being put in motion until
after the total phase was well started.
Regarding the relative number of lines photographed by
fixed or moving plates, it seems easy to reach conclusions. In
the region of wave-lengths, from 4200 to 4500 A, where all
three spectra had the best definition, the 1905 and 1908 mov-
ing plates recorded 425 and 292 lines respectively, while in
the same region of wave-lengths, the 1905 concave grating
spectra had 43 7 lines ; and this in spite of the fact that the
moving plates had average dispersions twice and four times,
respectively, that of this 1905 fixed plate. Between the re-
gion 3900 and 4100 A, the Lick 1905 moving plate recorded
413 lines and the Lick 1905 fixed plate 454 lines in spite of
the better definition of the former and a dispersion more
than twice greater than that of the latter. Hence with equal
dispersion and definition the fixed plate will always show
more lines than a moving plate.
Another disadvantage of the moving plate is the difficulty
of ascertaining what zero to adopt as the initial level for the
scale of heights. This zero-point depends on the reversal
from dark to bright lines on the photograph (at first flash)
or the reverse at second flash. As already stated, at the be-
ginning of totality, the high-level lines become bright many
seconds before those of lower levels. The reversal of the
lines of lowest level forms the " flash " spectrum. With
the fixed plate, measures of the lengths of the arcs give the
heights directly, but with the moving plate, the photographs
themselves must furnish the zero-point from the reversal of
the lines. This is a difficult task which is further compli-
cated by the fact that the slot causes an effect integrated
over a region stretching over 300 km in height. It would
seem therefore that this integrated effect would not permit a
high precision in the determination of heights by the mov-
ing plate which must also be subject to a zero-point correc-
tion far larger than with the fixed plate.
In making comparisons of the reliability of fixed and mov-
ing plates, the best conclusion can be reached by confining
attention to the low-level lines only, those that reach heights
of 700 km or less, these lines being vastly greater in number
266 ECLIPSES OF THE SUN
than those of higher levels and their heights are known with
greater precision. The Lick 1905 fixed plate gave average
heights for these lines of lowest levels which differed about
50 km from those of the 1905 Mitchell plate. On the other
hand, the average heights from these same low-level lines
from the 1905 moving plate were 400 km greater than those
from the Lick 1905 fixed plate. At one and the same eclipse,
the simplest method of interpreting this systematic differ-
ence is the zero-point correction of the moving plate. More-
over, the 1905 moving plate gave average heights for the low
levels more than 500 km greater than the 1908 moving
plate.
Furthermore, with the moving plate, the scale of heights
depends on an accurate knowledge of the speed of motion
of the plate and also on the assumption that this motion is
absolutely uniform.
Considering therefore the difficulties outlined above and
the various causes of errors that may beset the moving plate
method, the author is in hearty agreement with the opinion
expressed (loc. cit., p. 2) that " it is doubtful if any other
astrophysical instrument is as difficult to set up and operate
successfully as an objective-prism eclipse spectrograph, when
used with a continuously moving photographic plate includ-
ing a slit immediately in front of the plate." One might also
add that it is doubtful if the photographs of any other astro-
physical instrument are so difficult to interpret in order to
reach conclusion free from systematic errors.
If the flash spectrum were an exact reversal of the Fraun-
hofer lines, both as regards wave-lengths and intensities,
the eclipse observations could add but little to our knowl-
edge of solar physics. In such a case, the precious moments
of a total eclipse should be devoted to the investigation of
other lines of research. In fact, the flash spectrum is inter-
esting and important only in so far as it differs from spectra
taken under ordinary conditions.
The intensity of a spectrum line depends both on the width
and on the blackness of the photographic image of the line.
It is unfortunate that in all spectra, whether of dark or bright
lines, whether determined in the laboratory or in the observa-
PHOTOGRAPHING THE FLASH SPECTRUM 267
tory, it is ordinarily impossible to have a scale for the desig-
nation of relative intensities which is other than arbitrary.
With such a scale the strongest line in any spectrum may be
represented by 10, by 100, or even by 1000, while the weak-
est line receives the number i, or o, — i, — 2, or even
— 3, as in the revised Rowland's Tables. Such scales being
arbitrary may not be uniform, and it is consequently very
difficult to compare the values of the intensities of one spec-
trum assigned by one observer with those investigated by
another.
For reasons outlined above, with chromospheric arcs pho-
tographed by the fixed plate, it is readily possible to make
estimates of intensities or, better still, measures of intensities
by the microphotometer at different positions along the arcs.
At the middle of the arcs the intensities refer to the radiations
of all atoms above the photosphere. At positions 2 mm from
the middles of the arcs the intensities are thus derived from
the radiation from all atoms above 700 km in height. By
estimating or measuring the intensities at different places
along the chromospheric arcs, from their middle to the tips of
the cusps, a knowledge is obtained of the radiations of atoms
at higher and still higher levels above the photosphere. In
similar manner with the moving plate, estimates of inten-
sities may be made or measures with the microphotometer
be carried out, as was done by Menzel (loc. cit.}. With the
moving plate, as with the fixed plate, the intensities, esti-
mated or measured, refer always to the radiations from atoms
above certain levels as determined by the edge of the ad-
vancing moon.
As has been stated, with the fixed plate, the interpreta-
tion of heights is complicated by the Baily's beads which
make knots in the curved lines of the spectrum. However, in
estimating or measuring intensities on the fixed plate at dif-
ferent heights above the zero-point, the observer has it quite
in his power to make measures at any particular location
along the whole of the curved arc. Hence the Baily beads
need be of no particular concern unless the solar disturb-
ance is great in size and extent. With the moving plate, on
the contrary, the slot has a fixed definite position and meas-
268 ECLIPSES OF THE SUN
ures may be made of conditions affecting the chromosphere
at this and at no other location.
The most characteristic difference between the chromo-
spheric and the Fraunhofer spectra is found in the relative
intensities of the lines. The system of intensities adopted
for the chromospheric spectrum is purely an arbitrary one,
in which 200 represents the strongest lines like K and Hy,
and o that of the weakest line. Naturally the intensities
depend on the character of the photographic plate used, but
partial allowance may be made for the decrease in sensitive-
ness of the plate in the green and yellow regions. In estimat-
ing intensities, one is unconsciously influenced by the breadth
of the lines, so that the values for intensity give a somewhat
combined appraisal of the blackness and breadth of a cer-
tain line. These at best are but estimates, but they are
perhaps comparable in accuracy with estimates of intensities
by others, for instance, as in the Rowland's Tables. Esti-
mates in Rowland and in the flash spectrum may 1 be cali-
brated.
The reasons for these pronounced differences in intensi-
ties between the dark line Fraunhofer spectrum and the
chromospheric spectrum will be evident on a moment's re-
flection. Consider a Fraunhofer line coming from the center
of the sun's surface, and assume that the absorption is caused
by a reversing layer 500 miles in thickness. The light com-
ing perpendicularly from the photosphere can be absorbed
by the atoms in this 5oo-mile layer. At the time of an eclipse,
the light of the chromosphere comes tangentially from the
sun's surface, and not perpendicularly, with the result that
the chromospheric light is affected by a depth of 20,000 miles
of atoms. (The line of sight from a layer 500 miles in thick-
ness passes through 20,000 miles of solar atmosphere when
tangent to the sun's surface.) This has an important bearing
on Saha's theory, as will be explained in Chapter XVII.
Researches on the structure of the atom, as shown in
Chapter XIV have demonstrated the important fact that the
intensity of a line in any spectrum depends primarily on the
number of emitting or absorbing atoms. In the Fraunhofer
1 Astro physical Journal, 68, i, 1928.
CO
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THE CITADEL CROWNING THE CITY OF DAROCA
OFFICERS AND SAILORS OF THE U. S. NAVY ASSIST THE ASTRONOMERS IN
OBSERVING THE TOTAL ECLIPSE IN SPAIN
PHOTOGRAPHING THE FLASH SPECTRUM 269
spectrum the atoms are absorbing radiation but in the
chromospheric spectrum they are emitting radiation. Let us
now consider two different elements in the sun's envelope;
one of these elements has a low density but extends high in
miles above the photosphere; the other element is much
heavier and its atoms are confined to layers lying much closer
to the sun's surface. It is easy to imagine in the case of ab-
sorption of radiation that the total number of atoms involved
in producing a line in the spectrum of the lighter vapor might
be identical to the number contributing to the dark line in
the heavier vapor on the condition where the light passes
radially through the gases, for instance, when coming from
the center of the sun's disk. If , however, at the time of a total
eclipse when the moon covers the photosphere, the atoms of
the chromosphere emitting radiation come tangentially from
the sun's envelope. Under these circumstances, the greater
height attained by the atoms by the rarer of the two vapors
adds enormously to the number of atoms encountered rela-
tive to the number encountered in the low-lying and denser
layer when the atoms are excited and radiate light. Hence, it
is readily seen that although the two gases may give lines of
equal intensity in their absorption spectra, they will not
necessarily do so in their emission spectra; the low-lying
heavy vapor will give in the chromospheric spectrum short
arcs, while the other assumed vapor will give longer arcs of
greater relative intensity. Though there are many contribut-
ing causes, the main reason for the great differences in in-
tensities between the dark and bright line spectrum of the
sun is the differences in heights to which the vapors extend.
The H and K lines of enhanced calcium and the lines of the
hydrogen series are the strongest lines in the chromosphere
mainly for the reason that the atoms of enhanced calcium and
hydrogen are detected at greater elevations than are attained
with any of the other elements.
As a matter of fact, there are such enormous differences
in the intensities of the Fraunhofer and flash spectra that
placed side by side, as they are on page 268, the spectra
seem to belong to stars of two different types rather than
to the same object under different conditions. It is these
270 ECLIPSES OF THE SUN
differences that make observations of eclipse spectra of the
greatest value in widening our knowledge of solar physics.
The chief differences in intensity for the stronger lines are
found in the elements helium and hydrogen. As is well
known, no helium absorption lines are ordinarily found in
the sun, whereas in the eclipse spectrum the helium lines
are conspicuous by their great strength. In the Fraunhofer
spectrum there are only four hydrogen lines visible, while in
the flash spectrum there is the whole Balmer series, no less
than thirty- four lines being measured on the 1905 plates.
One can therefore see at a glance the very great importance
attaching to a knowledge of heights in the chromosphere.
The following chapters will show how this information not
only has been the basis of Saha's Theory of lonization but
in addition has had an important practical bearing on many
solar and stellar problems.
This close comparison of the solar and chromospheric spec-
tra side by side helped make the identifications of sources
rather certain. But the Rowland spectrum had a dispersion
fully ten times the dispersion of the chromospheric spectrum
(2i-foot radius in the second order compared with 5-foot
focus in first order, the gratings having nearly the same num-
ber of lines per inch). Naturally, lines which appear single
in the chromospheric spectrum may be a blend of two or
more lines with the greater dispersion. But lines which ap-
pear as a close pair or a blend in the chromosphere must be
the result of the blend of corresponding lines in Rowland.
On account of the great differences in intensity of the chro-
mospheric and Rowland spectra, it was difficult to be always
sure of identifications until photographs were compared side
by side. The original photograph of the flash spectrum was
enlarged five times. Rowland's great Atlas was reduced six
times. Since the flash spectrum was nearly normal, it was
possible to procure both spectra on a comparatively close
approximation to scale. This comparison of spectra will
perhaps speak more strongly, than any words or comparison
of wave-lengths, concerning the sharpness of the original
spectrum of the chromosphere. On account of the small
variations from the normal spectrum (noted above) it was
PHOTOGRAPHING THE FLASH SPECTRUM 271
impossible to obtain an exact match in scale in the two pho-
tographs. Those who are interested sufficiently will be able
to carry the comparison along line for line.
Repeated attention must be directed to the fact that the
heights of the chromospheric vapors determined from the
measurement of the angular length of the cusps, can afford
no great accuracy in the determination of the absolute heights
in kilometers to which the various layers extend above the
photosphere. The method depends on the visibility of the
ends of the cusps. It is quite possible, and probable, that
vapors extend in detectable amounts to elevations beyond
the limits visible in the cusps. The heights derived by this
method can therefore only represent a mean height and can-
not be expected to furnish the maximum heights to which
the vapors in detectable amounts extend. Attention should
likewise be called to the fact that the heights measured in
this manner cannot give the elevations above the photo-
sphere, but rather above the average level of the layer pho-
tographed in this particular flash spectrum. With these limi-
tations, the method is capable of furnishing the relative
heights of the layers producing the individual spectrum lines
with a fair degree of accuracy.
This is not the place to go into greater technical details
which may be found in Publications of the Lcander McCor-
mick Observatory, Vol. 5, part 7, 1932, or in the Astrophysi-
cal Journal. However, a brief summary may be made here
of the advantages and disadvantages of the moving over the
fixed plate for the spectrum of the chromosphere. It is as-
sumed that the two types of spectrographs have about equal
dispersion and light gathering power. Wave-lengths are ob-
tained with equal accuracy by the two methods and hence
may be left out of consideration.
The moving plate is a much more complicated instrument
and demands greater technical skill in the erection and ad-
justment at the eclipse site. In photographing the flash
spectrum, the moving plate has distinct advantages in the
proper timing of the exposures. The moving plate shows the
gradual change from dark to bright lines at the first flash (or
the reverse on second flash). The separate exposures with
272 ECLIPSES OF THE SUN
the fixed plate make a similar but less complete record. With
equal dispersion and definition, the fixed plate records more
lines than the moving plate.
If the chromosphere is greatly disturbed near the posi-
tions of second and third contacts, the heights recorded from
the lengths of the arcs on the fixed plates are difficult to inter-
pret, especially if a solar prominence occurs near one of the
cusps. With the moving plate, the slot which defines the
region of investigation may be superposed on an active promi-
nence region and therefore the photographs will not repre-
sent average solar conditions. For the first flash, the slot
might possibly be set immediately before totality so as to
avoid disturbed regions in the chromosphere. This however
could not be done for second flash. The present writer would
never under any circumstances attempt such an operation.
It is far too difficult a task to undertake in the few excited
seconds available. It is far easier to observe the appearance
of the flash spectrum with the binoculars and direct-vision
spectroscope, and then to start and close the exposures ac-
cordingly.
If successful photographs are obtained with both fixed and
moving plates, it is much easier to interpret the results of the
former. With the arcs recorded by the fixed plate, any por-
tion of them may be adopted for discussion. The levels that
lie closest to the photosphere manifest themselves by the
appearance of a strong continuous spectrum on the photo-
graph. Hence with the fixed plate, the zero-point correction
should be small, probably of the order of 50 kilometers. At
the 1905 eclipse, the Lick fixed plate at second contact and
the Mitchell fixed plate at third contact gave low-lying levels
which differed about 50 km, those of the latter recording the
greater heights.
With the moving plate, the zero-point correction depends
on the estimation of the location where on the photograph the
spectral lines reverse from dark to bright (or bright to dark).
The zero-level should be that of the vapors closest to the
photosphere, those of lowest level. If there are many en-
hanced lines in the spectrum, as in the region of 4300 and
4400 A, the problem becomes complicated and more diffi-
THE GREAT PROMINENCE OF MAY 29, 1919
Photographed at Yerkes Observatory by Pettit with the spectroheliograph
nn tnr> Ha\r nf fl-i« f/^tol «^K»^o«. T>U» -L__.L i_^- i , ,. . . . ^e>*c*i-'*i
on the day of the total eclipse.
The greatest height attained on that day was
760,000 kms.
BRITISH PHOTOGRAPH OF TOTAL ECLIPSE OF MAY 29, 1919
The same prominence is shown facing page 272 from photographs taken at Yerkes
Observatory where there was no eclipse,
PHOTOGRAPHING THE FLASH SPECTRUM 273
cult. As already stated, the Lick 1905 moving plate gave
the heights of the vapors of lowest level 400 km in excess of
the Lick 1905 fixed plate. This systematic difference indi-
cates zero-point corrections which are larger for moving than
for fixed plates.
The 1905 Lick moving plate had a slot width of .05 inches
which permitted radiation from 300 kms of vapors to pass
through and be recorded on the photograph. The motion of
the plate causes progressive exposures to be made along the
spectral line. The height of the vapor is derived in each case
from the total length of the line measured from the assumed
zero-point up to the vanishing tip. But this total length
depends on the integrated effect of the radiation passing
through the slot of the mechanism. Hence it would seem
that the moving plate might readily have systematic differ-
ences between the low-level heights and those of greater ele-
vation, and this is further complicated by departures of the
motion of the plate from a uniform character. " An examina-
tion of the 1905 eclipse plate indicates that in the neighbor-
hood of 1800 kms, the plate had experienced a slight accelera-
tion " (loc. cit., p. 258).
In regard to the photometric measures, a quotation may
be made (in its corrected form) by Campbell (loc. cit., p.
iv). " My moving-plate method gives the average or in-
tegrated effect of a relatively long segment of the chromo-
spheric crescent itself, say 300 km long, the inner edge of
which is serrated by lower mountain peaks. The fixed plate
method records the serrated crescent as a whole (Mitchell),
or in part (Pannekoek and Minnaert) ; and it is interesting
to note, a long segment of the serrated photographic crescent
was averaged or integrated upon a moving plate of the re-
cording microphotometer by Pannekoek and Minnaert as
the basis of their photometry of the chromospheric spectrum.
In their photometric applications, therefore, the two meth-
ods seem to have an element of equivalence." However, we
might remind Dr. Campbell that in the measurement of the
fixed plate spectra, it is not necessary to use a long slit with
the microphotometer. A short slit may be used in order to
integrate the measures over a relatively short range in heights.
274 ECLIPSES OF THE SUN
In the actual operation of measuring the intensities of the
spectra of fixed or moving plates there should be practically
no difference in procedure.
In the foregoing, there has been stressed some few of the
difficulties besetting the eclipse observer. No matter how
carefully and precisely the focus of the spectrograph is de-
termined, no matter how accurately the exposures are timed,
either by fixed or moving plate, the photographed spectra
may not be of finest quality for causes entirely outside the
control of the observer, namely, the " seeing." As an ex-
ample, the experience of the writer may be cited. At the
1925 eclipse the flash spectrum was photographed with the
same equipment as at the 1905 eclipse. At the 1925 eclipse,
the sun was only 17° above the horizon, and in consequence
the seeing was poor. The 1905 eclipse was observed under
excellent conditions of seeing. The 1905 spectra show the
faintest lines of the spectrum in much greater numbers than
the 1925 photographs, the lines in the former eclipse being
stronger and more clearly defined. The explanations for the
differences in the two spectra cannot be found in differences
of focus, or of exposures, or of levels photographed. Under
the poor conditions of seeing of the 1925 eclipse, the light of
the bright-lined chromospheric arcs was rendered ill-defined
by being spread over a larger area. With the strong lines of
the spectrum, this effect made the edges hazy but diminished
the total intensities of the lines but little. With the weak
lines, however, the spreading of the light over a larger area on
the plate caused a marked diminution in intensity and sharp-
ness of each line with the necessary result that the weakest
lines in the 1925 spectrum were practically obliterated by
the poor seeing and only those lines of a certain minimum
strength survived. Astronomers who are engaged in the ob-
servational work of stellar photography, particularly with
telescopes of great focal length, are entirely familiar with an
exactly analogous problem. Under the best conditions of
seeing, the star images are hard and sharp and with well-
defined edges. Under poorer and poorer conditions of see-
ing, the star images increase in size and the edges become
more and more fuzzy. The larger stellar images with poor
PHOTOGRAPHING THE FLASH SPECTRUM 275
seeing require an increase of exposure to photograph a star
of any given magnitude. The length of exposure becomes
greater and greater as the seeing deteriorates more and more.
Under poor conditions, the star images on the plates are
large and ill-defined and the accuracy of measurement, when
compared with plates taken under good conditions, is much
diminished.
If photographs of the flash spectrum are actually secured
in spite of all difficulties to be overcome, then comes the
much more important problem of the discussion. The size
of this task may be surmised from the fact that Dr. Menzel
spent about five years in preparing for publication the hand-
some Lick Publication, Volume 17. On page 2, it took one-
half a quarto page for him to render thanks to those individu-
als or bodies who had given scientific or financial assistance.
In similar manner it has also taken the present writer, al-
though working almost alone and with his time interrupted
by many duties, five years to prepare the original contribu-
tion in Publications of the Leander McCormick Observa-
tory, Volume II, parts 2 and 3 and the revision in Volume V,
parts 2, 3, 6 and 7.
It will not be necessary here to explain in further detail
the methods followed in deriving wave-lengths and heights.
This information may be obtained from the sources just
cited.
When the spectra of the 1905 eclipse were being discussed
by the writer, comparatively little was known of the differ-
ences between the conditions existing in the Fraunhofer
spectrum and in the chromosphere. The main difference
known to exist was that pointed out by Fowler from the 1898
eclipse spectra, namely, that the enhanced lines played an
important role in the flash spectrum by showing increased
intensities over those in the solar spectrum. But how was
one to find the wave-lengths of the lines which had greater
strengths in the spark than in the arc spectrum? Lockyer
had given lists of some of these lines, and these were good as
far as they went. But the known lines were few in number
and entirely inadequate for a discussion of the problem.
What was to be done? Kayser's important lists had not yet
276 ECLIPSES OF THE SUN
appeared. There was nothing to do but to follow the ex-
ample set by Kayser and others, namely, that of going to the
original sources one by one. There seemed no other method,
and this meant many long and tedious hours of patient com-
parisons.
Within the past decade, however, the combined attack on
the structure of the atom by the astronomer, physicist and
chemist has resulted in a stupendous increase in knowledge
of conditions underlying the production of emission and ab-
sorption lines in different spectra. The outstanding achieve-
ments have been the Bohr-Sommerfeld atom, Saha's theory
of ionization, investigations of series in spectra coming mainly
from the hands of Fowler, Russell and Meggers, and the
publication from Mount Wilson Observatory of the Revision
of Rowland's Table of Solar Wave-Lengths. As a result of
this greatly increased information now available, particularly
in the proper identifications of the sources causing the spec-
tral lines, the discussion of the flash spectrum has become
one of greatly increased simplicity.
CHAPTER XVI
DISCUSSING THE FLASH SPECTRUM
A" | AHE depths of the various layers of gases surround-
I ing the sun have an importance which is very vital
JL in all theories of solar physics. Eclipse spectra fur-
nish the only means yet known of directly measuring these
depths. Comparisons of the flash spectrum with the solar
spectrum taken under ordinary conditions reveal many im-
portant conclusions, the first of which is that wave-lengths
are identical in the flash and in the Fraunhofer spectrum.
This statement can be true only within the limits of accuracy
attainable in the measurements of wave-lengths of the flash
spectrum, or expressed in other terms, it may be said that no
differences between the two spectra exceed 0.02 angstroms.
The flash spectrum must therefore be regarded as a true re-
versal of the ordinary spectrum of the sun since every strong
line in the solar spectrum, without any exception, is changed
to a bright line at the beginning and at the ending of totality.
Although the wave-lengths in the two spectra are identi-
cal, this is far from being true with the relative intensities
of the lines. In the flash, many lines appear which are not
found in the ordinary solar spectrum; furthermore, some
strong lines in the Fraunhofer spectrum appear as weaker
lines in the flash, and vice versa, weak lines in the sun are
strengthened in the spectrum of the chromosphere. Dif-
ferences in intensity signify differences in level and in elec-
trical, thermal and pressure conditions of the vapors pro-
ducing the lines, and consequently an intimate study of such
dissimilarities will give valuable information regarding the
distribution of atoms in the solar atmosphere.
The problem, however, is a complicated one for the reason
that the intensities depend so intimately on the level of the
chromosphere photographed, all spectral lines being most
277
278 ECLIPSES OF THE SUN
intense at levels closest to the photosphere. Hence, at one
and the same eclipse and with exactly the same timing, dif-
ferent intensities are found on the photographs depending
on whether the spectrograph is used with or without slit.
Without a slit, all levels contribute their emission to the
spectral line, while with a slit only those levels covered by
the slit give up their light to the line in question. Mani-
festly, the position of the image of the slit with respect to
the photosphere is of prime importance, and also whether
or not there is a prominence at the sun's edge where the slit
is projected. Hence with a slit, there are many reasons why
the intensities of the flash lines estimated or measured from
the photographs of any one eclipse may vary from photo-
graph to photograph or from instrument to instrument. Even
on the same photograph there are differences of intensities
for the same line. In their publication dealing with the 1926
eclipse, Davidson and Stratton give the estimates at two dif-
ferent positions in their photographs, called respectively
" flash " and " prominence." From their photographs taken
at the 1927 eclipse with slit, Pannekoek and Minnaert note
similar differences in intensities.
For the same reasons, eclipse spectra taken without slit
show wide ranges in intensities depending on the levels pho-
tographed. For instance, the author secured spectra with
the same equipment in 1905 and 1925. The intensities dif-
fer materially in the two years, and in turn they both differ
in most details from the intensities observed at the 1926 and
1927 eclipses, and also from the Lick results at the eclipses
of 1898, 1900, 1905 and 1908. One should, therefore, be
very guarded when comparing one eclipse with another be-
fore coming to the conclusion that differences in intensities
between two eclipses mean differences in solar activity.
Manifestly one should not push too far any deductions based
on the intensities at any one eclipse.
Since the date of the second edition of this book, several
important discussions have appeared dealing with the ob-
servations of the flash spectrum. The instrumental equip-
ment has been described in the preceding chapter. A list of
the more extended of these publications follows, arranged in
DISCUSSING THE FLASH SPECTRUM 279
order of the dates of the eclipses observed. As already stated,
Campbell with the moving plate obtained photographs in
1898, 1900, 1905 and 1908. In 1905, with the fine seeing of
the Spanish eclipse, the spectrum also was photographed on
a fixed plate. The discussion by Menzel makes a veritable
storehouse of valuable information. Accurate wave-lengths
derived from the weighted mean of the different spectra make
possible a close comparison with Rowland. The identifica-
tion of the individual lines are given in splendid detail to-
gether with their multiplet designation. The intensities were
estimated on the Rowland scale. For certain of the stronger
lines, the intensities were measured by the microphotometer
at different heights above the photosphere. On the observa-
tional side, the most important information is contained in
the heights from both fixed and moving plates. As shown
in the preceding chapter, the heights from the moving plates
are subject to larger systematic errors than those from fixed
plates. After tabulating the material in order of wave-
lengths, a further tabulation rearranges the material accord-
ing to the source of the line, a grouping being made accord-
ing to the multiplet structure. A summary of the various
recent theories underlying the problems of solar physics
makes this Lick publication an epoch-making contribution.
As an illustration of the tremendous activity since 1923 (the
date of the first edition of this book) caused by researches
on the structure of the atom, there may be cited the number
of references to scientific publications made by Menzel in
footnotes. Before 1923, references were made to 18 arti-
cles; in the years 1923-25 there were 22 references; while
in the interval 1926-30, no less than 100 publications
appeared, of which number there were 69 citations in 1928
and 1929.
Following the eclipse of 1908 observed by Campbell, the
next eclipse to provide a photograph of the flash spectrum
was 1914, when Abetti secured spectra of small dispersion.
At the eclipse of 1918, on account of widespread clouds, the
only photograph of the flash spectrum in good detail was
obtained by H. C. Wilson with concave grating, but also with
small dispersion. No attention was paid to the spectrum of
280 ECLIPSES OF THE SUN
the chromosphere in 1919 and 1922, the Einstein problem
being of paramount importance. Little progress was made
at the 1923 eclipse.
At the 1925 eclipse, Curtis and Burns1 with a concave
grating of short focal length obtained photographs at the red
end of the spectrum on plates stained with dicyanine. About
100 lines were measured between the D lines and 8807 A,
the dispersion being small, of 80 angstroms per mm. At this
same eclipse, Anderson with a 21 -foot concave grating with-
out slit secured spectra on which the definition was vitiated
by the poor qualities of seeing. At the same eclipse, with 10-
foot concave grating without slit, Mitchell obtained photo-
graphs of the flash spectrum. For publication, the results
were combined with those of the 1905 eclipse photographed
with the same equipment. At the extreme ultra-violet, the
measures of the 1926 spectra of Davidson and Stratton were
included in the discussion by Mitchell. This publication,
like that of Menzel, involved the newer ideas of the structure
of the atom. In fact, both Menzel and Mitchell, through the
kindness of the Mount Wilson astronomers, had free access
to the valuable compilations on multiplet structure. The
region of wave-lengths included in Mitchell's discussion was
from 3066 to 7065 A, while that of Menzel included the re-
gion 3229 to 5328 A.
In 1926, Davidson and Stratton " secured beautiful photo-
graphs with a quartz slit-spectrograph giving excellent defi-
nition from 3066 to 3968 A. With a camera of i9-feet focus
and direct-vision prism, the region photographed was ex-
tended to H(3, and with camera of 4O-feet focus and prism
of 40°, the region was further extended to beyond Ha. The
photographs with the two prismatic cameras were taken with-
out slit and furnish heights for the stronger lines of the spec-
trum. The results were grouped according to multiplets
shown by the different chemical elements.
Davidson and Stratton compared the heights derived from
their prismatic cameras with those of the 1905 eclipse with
concave grating. Differences were noted which depend
1 Publications of Allegheny Observatory, 6, 95, 1925.
2 Memoir R. A. S., 64, 105, 1927.
DISCUSSING THE FLASH SPECTRUM 281
mainly on definition but there was no systematic error in
zero-point between the heights from the two eclipses.
At the 1927 eclipse, Pannekoek and Minnaert secured ex-
cellent photographs of the flash spectrum at Gallivare in
Lapland, one of the few places where clear skies greeted the
observers of this eclipse. The spectrograph was one of three
prisms and slit, the photograph of the first flash was in splen-
did definition between the wave-lengths 4154 and 4751 A.
The dispersion of i mm equal to 3 angstroms is the largest
ever successfully employed on eclipse spectra.
The most interesting part of their discussion is the pho-
tometry of the flash spectrum, the Moll registering micropho-
tometer being used for the measurement of intensities. In
spite of the large dispersion employed, no attempts were
made to measure exact wave-lengths. The positions of the
spectral lines were read from the photometer sheets and
wave-lengths were derived from a Hartmann formula. Com-
parisons were made for each line with Rowland and with the
intensities estimated by Mitchell from the 1905 eclipse, an
excellent agreement being found between the 1905 and 1927
results.
These spectra were very carefully calibrated by means of
three other plates cut from the same larger photographic
plate as the one on which the flash spectrum was photo-
graphed, and developed together with it. On one of these
plates was photographed the iron arc; on the second, the con-
tinuous spectrum of a standard incandescent lamp whose in-
tensity distribution over various wave-lengths was known;
and on the third, the Fraunhofer spectrum of the sun. In
front of the slit of the spectroscope they had placed a " step
weakener." By means of this they obtained a calibration
curve for each region of the spectrum separately; and by
means of the spectrum of the standard lamp and the Fraun-
hofer spectrum they obtained the relation between these in-
dividual calibration curves.
In a very thorough discussion they were able to find the
number of ergs per second emitted in a unit solid angle by
an arc of the chromosphere i' in length corresponding to each
bright line of their flash spectrum. Combining this material
282 ECLIPSES OF THE SUN
with the theoretical intensities of lines within multiplets,
they made a careful study of the effects of self-reversal in the
flash spectrum. They also found the total intensities of
entire multiplets relative to the total intensities of other mul-
tiplets of the same element. When the theory of atomic
spectra has been sufficiently developed to predict the relative
intensities from one multiplet to another, such absolute in-
tensities in the chromospheric spectrum will offer the best
data for comparison, much better, in fact, than laboratory
spectra.
To derive from the measured transmissions of the micro-
photometer, a knowledge of the absolute units of energy of
the source in the chromosphere is a problem beset with many
difficulties. By the employment of their careful methods of
calibration, this was accomplished in three steps: (i) From
the measured transmission curve for a short interval of
wave-lengths to ascertain the apparent intensity. (2) By
proper allowance for instrumental causes, such as change of
dispersion in the spectrograph, color sensitivity of the pho-
tographic plate, selective absorption in the apparatus, and
other factors, to change the apparent intensities thus deter-
mined into real intensities. (3) By proper methods of cali-
bration and standardization it is then necessary to find the
absolute intensities. According to Pannekoek and Minnaert,
" It is easy to foresee that the determination of the apparent
intensities is the most accurate, that the determination of
the real intensities is more difficult, and that the determina-
tion of absolute intensities may be liable to many sources of
errors."
After making allowance for all possible factors and deriv-
ing intensities measured in absolute units, comparisons were
then made with Rowland's intensities and with those of
Kayser. An interpretation of these comparisons which will
be reasonably free from large systematic errors is encum-
bered with many grave difficulties for the reason that the ab-
solute scale of intensities derived from the microphotometer
has no definite relationship with the estimates of Row-
land and Kayser which are on arbitrary scales. On account
of the many lines of the iron spectrum, this element gave the
DISCUSSING THE FLASH SPECTRUM 283
most complete information. Between the microphotometer
readings and Kayser's estimates there was found a strong
dependence on wave-length; a line at 4200 A having a three-
fold greater microphotometer intensity than a line of similar
Kayser intensity at 4700 A. On the other hand, a close
agreement was found to exist between Rowland's solar in-
tensities and Kayser's estimates for Fe; but a similar agree-
ment is not found for other important elements in the sun,
such as Cr, Mn, Tiy Ni and Co, the Rowland's intensities be-
ing much lower than Kayser's intensities of the elements.
In the calibration of Rowland's scale, referred to in a later
chapter, Russell, Adams and Miss Moore find that the Row-
land scale at 4200 A is seven per cent greater than at 4700 A,
a result not in harmony with the findings from the 1927
eclipse. On account of this disagreement it is evident, either
that the 1927 spectra were not properly calibrated or else
that the homogeneous scale derived at Mount Wilson in the
process of the revision of Rowland's Table must be changed
by a large factor.
As a further result of their spectra, Pannekoek and Min-
naert find that, " The energy emitted by the whole chromo-
sphere in each of these wave-lengths is not proportional to
the theoretical emission. In general, the observed intensities
increase together with the theoretical intensities, but more
slowly. This proves that the chromosphere may not be con-
sidered as an optically thin layer of small effective depth, but
that there is an appreciable amount of self-absorption in the
layer of gas viewed tangentially." Further discussions car-
ried out by Pannekoek 1 lead to the conclusion that the density
of the chromospheric gases being small, the effect of colli-
sions may be neglected with the result that absorption and
emission of radiation is the only method of energy transfer.
The atoms forming the chromosphere being exposed to the
radiation from the hemisphere below, there is no diminution
of radiation at the highest levels. This implies that the chro-
mospheric gases produce only a small part of the total ab-
sorption in the solar chromosphere with the consequent result
that the Fraunhofer absorption takes place almost com-
i B. A. N., 4, 263, 1928.
284 ECLIPSES OF THE SUN
pletely within the confines of the lower levels of the reversing
layer. These results lead to the conclusion that the chromo-
spheric gases are supported mainly by radiation pressure.
For obvious reasons, these conclusions must be accepted with
reservations.
By combining the material from six successive exposures
they were able to find the density gradient of hydrogen in
the chromosphere up to heights of 3000 km. They found that
its density gradient was much less than would be expected in
an isothermal atmosphere in which the only counterbalance
to gravitation is gas pressure. By the same method they
found that the density of the emitting atoms of helium is
actually greater at 700 km above the photosphere than at
levels closer to the photosphere. Their work is the most suc-
cessful yet accomplished in exact spectrophotometry of the
chromosphere.
The region investigated at the 1927 eclipse, of 600 ang-
stroms at the red side of 4153 A, is but a small portion of the
chromospheric spectrum. Menzel (op. cit., p. 12) with the
Moll registering microphotometer measured the 1905 Lick
moving-plate spectrum between 3913 and 4466 A, the region
of best definition. Runs were made in the ordinary way at
six different levels, assumed to be at 170,385,600, 1030, 1675,
and 2030 kilometers, respectively, above the photosphere.
Although the method adopted by Menzel, developed in-
dependently, for reducing the microphotograms, was very
similar to that of Pannekoek and Minnaert, nevertheless he
worked under severe handicaps in that he did not even know
the character of the photographic plate used at the 1905
eclipse, and naturally, no standard squares were impressed
thereon for purposes of calibration. No corrections were
made by him for atmospheric or instrumental absorption.
As stated in the preceding chapter, the slot of the moving
plate permitted an integrated radiation of 300 kms in each
spectral line, and moreover, each line under consideration
was defined on one side by the serrated edge of the moon,
and on the other side by emitting atoms assumed to lie above
the six different levels under consideration.
With so many unknown factors, and with heights subject
THE APPROACHING SHADOW OF THE MOON, BAKER, OREGON, JUNE 8, 1918
From the painting by Howard Russell Butler, N. A.
DISCUSSING THE FLASH SPECTRUM 285
to systematic errors, Menzel is forced to evaluate his material
from the interagreement of results from separate lines.
"When the continuous background was subtracted, it was
found that all of the curves for a given chromospheric height
required multiplication by a single factor, inversely propor-
tional to the ordinate at maximum, to bring them into sur-
prisingly good agreement. This was probably due, in part,
to the short spectral region studied. No correction for atmos-
pheric or instrumental absorption has been introduced. The
intensity of a spectral line is equal to the area under the ' true
intensity ' curve. Since all of the curves, for a given level,
were of similar ' shape,' the ordinate at the mid-point deter-
mines the relative intensity of a line.
" The observed peculiarity of line shape is just the reverse
of what might have been expected on a priori grounds. It is
easily shown that the widening that arose from the deviation
of the small segment of the solar crescent from a straight line
was negligible. Almost all other causes that act to broaden
a spectral line — pressure, Stark effect, self-reversal, tem-
perature ( Doppler motion ) — apparently should be more
effective at the lower levels. There is, of course, the chance
that ' seeing ' conditions during totality were not uniform,
but there is evidence against this explanation, in the form of
a marked exception to my previous statement that all lines,
at a given level, conform to the same contour curve. The
line 4026 A of helium is essentially a i high-level ' line, as is
immediately evident from its great extension in relation to
its intensity. Consequently, most of the intensity, recorded
on the tracings at lower levels, is the integrated light from
much greater heights. The lines of greatest intensity pre-
sent a special problem. Small errors in drawing the char-
acteristic curve of the photographic plate produce large er-
rors in the resultant intensities. Rather than introduce such
indeterminate intensities, I have computed the intensities of
these lines on the assumption that their contours were the
same as for the fainter lines. It then suffices to determine
the ordinate at any point of the line contour. The intensity
is measured, not at the center of the line, but in the wings
where the photographic density is less, and where the char-
286 ECLIPSES OF THE SUN
acteristic curve is more certain. Intensities calculated in this
manner are ' upper limits.' They are subject to correction for
sel f -r ever sal. "
Continuing the study by the investigation of the difficult
problem of self -reversal, Menzel continues on page 261 as
follows. "The density gradient of the chromosphere is
closely related to the observed intensities of the chromo-
spheric lines at the various levels studied by the micropho-
tometer. The energy at any one level on the plate represents
the integrated light from all the higher levels not yet cut off
by the moon's limb. The presence of self -reversal compli-
cates the problem. Theoretical estimates of the amount of
self-reversal seem to be unreliable. We can, however, de-
termine the amount of the self-reversal in what seems to be
a perfectly direct way, by comparing the observed and theo-
retical intensities through the intermediary of the estimated
flash intensities."
After going through an intricate theoretical discussion,
Menzel apparently puts little weight upon his final results.
This is shown by the fact that in the determination of the
distribution of vapors in the chromosphere and the deriva-
tion of density gradients, he prefers the density gradients de-
duced from a discussion of the observed heights to those de-
rived from his microphotometer readings.
One of the most pressing needs concerning the atom at the
present time (1932) is a more accurate knowledge of the
contours of lines in the ordinary solar spectrum in order to
ascertain the numbers of atoms effective in producing ab-
sorption in the centers and wings of individual lines. Valu-
able work has been done by Unsold and others, but this forms
merely the beginning of a more comprehensive research nec-
essary. In the Fraunhofer spectrum the atoms are absorb-
ing energy, in the chromospheric spectrum they are emitting.
To those who are not fully acquainted with the difficulties
involved, it would seem an easy matter to photograph the
chromospheric spectrum at different levels, and then to ob-
tain a knowledge of the number of atoms involved at differ-
ent levels. After several years of investigation on the Fraun-
hofer spectrum, with huge equipment and unlimited re-
DISCUSSING THE FLASH SPECTRUM 287
sources, we do not yet feel on very firm ground. If an eclipse
came every day, and if photographs could be obtained of the
flash spectrum with powerful equipment, that is, with large
dispersion and large solar image, much might be accom-
plished. Unfortunately, eclipses are rare phenomena, the
" flash " lasts but a few seconds, and it is impossible to use
large dispersion with a large solar image on account of the
paucity of light and erratic conditions of seeing. The pres-
ent writer is always an optimist (or he would not be an eclipse
observer) but he has a practical turn of mind. In the im-
mediate future, he cannot foresee any brilliant discoveries
from the measurement of eclipse spectra by the micropho-
tometer.
A knowledge of conditions in the sun's atmosphere are of
such great importance to solar physics that attempts are
made to observe or photograph the chromospheric spectrum
at times when there is no total eclipse. This is possible either
during a partial eclipse by observations at the cusps, or when
there is no eclipse at all. Observations were secured visually
by Fowler in London during the progress of the partial eclipse
of the sun, April 17,1912. At its maximum phase, this eclipse
was 0.91 total (the sun's diameter = i.o). The 6-inch equa-
torial was employed in conjunction with the Evershed spec-
troscope, the observing conditions being very favorable. The
number of bright chromospheric lines that were seen vastly
exceeded expectations. As early as thirty-five minutes be-
fore maximum eclipse, high-level chromospheric lines were
noted at the cusps and the number of lines increased with the
progress of the eclipse. During the maximum phase, hun-
dreds of Fraunhofer lines were reversed, in fact the number
of lines seen was so great that it was impossible to record all
of the lines. The appearance greatly resembled the flash
spectrum that had already been observed by Fowler at more
than one total eclipse. About seventy bright lines between
b and D were actually identified. That so many lines of the
chromosphere were visible near the cusps at the time of the
eclipse may be partially explained as the result of reduced
sky illumination due to the fact that but nine per cent of the
sun remained uncovered. A greater advantage may have
288 ECLIPSES OF THE SUN
resulted from the smaller effect of unsteadiness or " boiling "
at the cusp as compared with the limb under ordinary con-
ditions.
The success of these observations was so great that it
seemed possible to Fowler that even better results could be
obtained at a similar eclipse by the use of more powerful
apparatus, and that the multitude of bright lines seen visu-
ally for half an hour, while the eclipse ranged from eight- to
nine-tenths total, might profitably be photographed by suit-
ably arranged instruments. In fact, at this same eclipse,
Newall at Cambridge actually secured successful photo-
graphs. On the best photograph only about forty lines were
recorded as bright, many of them exceedingly narrow with
the continuous spectrum quite faint. Apparently, therefore,
it is more difficult to photograph the bright lines than it is
to observe them visually. In view of the success attained in
photographing, Newall came to the conclusion ' that " ex-
ceedingly valuable work could be carried out with an instru-
ment of high power by an observer who, in a total eclipse,
stationed himself to the north or south of the band of to-
tality at such a distance that the maximum phase was about
0.99. At such a station, detailed observations could be con-
veniently made with a much more leisurely program and with
far greater completeness than on the central line."
In view of their success in 1912, the Cambridge 2 observers
prepared to photograph the eclipse of 192 1 with the McClean
spectroscope of the Solar Physics Observatory. This instru-
ment uses an image of the sun 168 mm in diameter, the
dispersion being caused by a 6-inch plane grating. Two
photographs were secured with excellent definition — but the
total number of bright lines visible was only two, due to hy-
drogen, not a single bright metallic line appearing on either
of the plates. A similar disappointment resulted from the
photographs taken with the Huggins refractor, also at Cam-
bridge.
Observations similar in kind were also made 3 visually at
1 Monthly Notices, R. A. S., 72, 538, 1912.
2 Monthly Notices, R. A. S., 81, 482, 1921.
3 Monthly Notices, R. A. S., 81, 485, 1921.
DISCUSSING THE FLASH SPECTRUM 289
the same eclipse by Fathers Cortie and Rowland at Stony-
hurst. A Browning spectroscope with a dispersion of eight
prisms of 60° was employed, the region observed being in
the green from 5167 A to 5400 A. " Every line in the field
was reversed, the bright lines tapering to a point indicating
decrease of pressure."
Newall (loc. cit.) could not offer any explanation for his
failure to photograph the bright lines at the 1921 partial
eclipse. The experience of the writer, both at total eclipses
and at Mt. Wilson (see below) causes him to suspect that the
conditions of seeing at Cambridge were inferior to what they
were at the eclipse of 1912 in spite of the fact that at the
time the observers regarded the conditions as about equal.
A quarter of a century ago,1 Hale and Adams secured pho-
tographs of the flash spectrum without an eclipse by using the
6o-foot tower telescope and powerful spectograph attached.
The method employed was to allow light from the sun's limb
to fall upon a diagonal prism so placed as to reflect the light
horizontally to a second prism immediately above the slit.
The first prism was mounted upon a slide with a screw ad-
justment allowing motion toward or away from the second
prism.
After the sun's image has been brought to the slit, the
observer selects a bright line of the chromospheric spectrum
and brings it into the field of view of an eye-piece, mounted
in an opening near the end of the plate-holder. During the
exposure, this line is maintained at maximum brightness by
guiding with the screw controlling the position of the first
diagonal prism, thus moving the sun's image slightly on the
slit. The second order spectrum was employed giving a dis-
persion of i mm = 0.9 angstroms; and exposures of four
minutes were required in the yellow part of the spectrum,
and double this amount in the red.
Two reports on the wave-lengths, etc., obtained from the
spectra have been published from Mt. Wilson. The first one
by Hale and Adams appeared in Communications No. 41,
and the second by Adams and Burwell in Communications
No. 95, the former coming before and the latter after the
1 Astrophysical Journal, 30, 222, 1909; Mt. Wilson Contr., No. 41.
290 ECLIPSES OF THE SUN
publication by Mitchell of his flash spectrum results obtained
at the eclipse of 1905. For obvious reasons, the second com-
munication from Mt. Wilson is more complete than the first.
Unquestionably the photographs at Mt. Wilson were secured
at a very low level, but whether at a lower level than the
1905 eclipse spectra it is rather difficult to decide. In com-
paring the results obtained within and without an eclipse,
there are very great advantages in favor of the latter method,
the most important being the possibility of securing a much
higher dispersion by the method without an eclipse than can
be secured at the time of an eclipse. The dispersion of the
1905 eclipse spectra was i mm =10.9 angstroms, or one-
twelfth of that in the discussion in the Mt. Wilson Com-
munications. For reasons stated in the foregoing, it is im-
possible to use large dispersion at an eclipse. Because the
exposures without an eclipse can be increased at will, the dis-
persion can also be increased, and it may be possible for the
Mt. Wilson observers to employ the i5o-foot tower tele-
scope with the 7 5 -foot spectograph in the second order and
thus secure a dispersion thirty times that of the 1905 eclipse
spectra. At an eclipse only two exposures of the flash spec-
trum are possible, and unfortunately the best focus is se-
cured more or less only as the result of a happy accident.
Outside of an eclipse there are no such limitations, observa-
tions may be repeated until moments of good seeing are se-
cured and until photographs are obtained of the best defini-
tion exhibiting the results of layers sufficiently close to the
sun.
The comparison of the results obtained with and without
an eclipse may be briefly summarized here. First, let us
take up the number of the lines photographed by the two
methods in a given region of the spectrum. Compared with
spectra taken outside of an eclipse, those obtained at an
eclipse have the two-fold disadvantage of the much smaller
dispersion and of the superposition of the eclipse lines on
a very strong continuous spectrum. In the process of meas-
uring the eclipse spectra, it was difficult to differentiate the
weakest lines from the continuous spectrum. Consequently
many eclipse lines were actually measured in the flash spec-
DISCUSSING THE FLASH SPECTRUM 291
trum but were not published at the time (see Astro physical
Journal, 38, 481, 1913), for it seemed unwise to add any lines
to the publication unless those lines could be definitely identi-
fied with lines appearing in Rowland's Tables. For these
reasons, therefore, it must be concluded that the number of
the weakest lines secured at Mt. Wilson without an eclipse
is probably not greater than the number found on Mitchell's
eclipse spectra. Since the intensities of the lines depend on
the levels at which the lines originate, it seems highly prob-
able, therefore, that the levels photographed within and with-
out an eclipse are not very different. For the stronger lines
originating at higher levels, the intensities inside and outside
of the eclipse greatly differ, such variations however being
readily explained on account of these very differences in level.
Regarding the accuracy of the wave-lengths, the following
may be said. On account of the spreading of the photographic
images of the strong lines of the eclipse spectra it is im-
possible to secure accurate wave-lengths from such lines.
Omitting these lines, the eclipse wave-lengths differ from
Rowland on the average by 0.020 angstroms. With the
twelve-fold greater dispersion at Mt. Wilson the wave-
lengths have an accuracy of 0.012 angstroms,1 being a pre-
cision about twice that obtained from eclipse spectra.
With a slit tangent to the sun's limb it is evident that the
length of the lines in the spectrum taken without an eclipse
should furnish information regarding the levels at which
such lines originate. Such measures have not as yet been
carried out at Mt. Wilson. The need of more reliable deter-
minations of the levels at which the spectrum lines of dif-
ferent intensities originate and the great importance of such
knowledge in present-day problems of solar physics cannot
be overemphasized.
In summing up the problem regarding the photography of
the flash spectrum as it appeared to him in 1924 while in resi-
dence for a brief time at Mt. Wilson Observatory, the writer
voiced his opinions in the following paragraph which is found
in the second edition.
The recommendation is therefore made to the investiga-
1 Mt. Wilson Contributions, No. 95.
292 ECLIPSES OF THE SUN
tors of solar rotation, and is hereby urged upon them for
their consideration, that they curtail their work on solar
rotation, and instead devote their energies for a short while
to the flash spectrum without an eclipse. With the equip-
ment already in hand, and under good conditions of seeing
and with adequate facilities for proper guiding, good photo-
graphs of the flash spectrum should be possible at very low
levels. The accurate measurement of wave-lengths, and par-
ticularly the determinations of the levels at which different
lines of the spectrum originate, will add greatly to our knowl-
edge concerning these lines and will supply information so
sadly needed in deciphering the laws underlying the produc-
tion of spectral lines. The Bohr atom and Saha's theory of
ionization have made possible the identification of new
spectral lines in the sun and in the laboratory, and undoubt-
edly we are on the eve of a very great advance in knowl-
edge regarding the laws underlying the production of lines
in the spectra of various sources, provided wave-lengths
of great accuracy and free from systematic errors can be
furnished.
The eight hectic years since the second edition of this book
have revolutionized our conceptions of solar research. Re-
garding the problem of the flash spectrum, Director Adams
gave the writer, while he was in residence at Mt. Wilson,
every opportunity for observing with the i5o-foot tower tele-
scope. The writer then realized the important role played
by the qualities of seeing and steadiness of image of the sun
on the slit of the spectrograph. If the slit is set tangent to
the limb of the sun and if the bright-lined spectrum is ob-
served visually by the methods described above, then it is
immediately noticeable that if the seeing is ragged or fair,
there will be few bright lines that can be seen, such for in-
stance as the stronger lines of the solar spectrum like the
6-group in the green. If the seeing improves and the image
of the sun becomes more and more steady, then more and
more lines are seen reversed into bright lines. At Mt. Wil-
son, the best seeing ordinarily comes shortly after sunrise.
After the sun's rays heat up the slopes of the mountain and
the rising of the heated air disturbs the atmosphere, the
DISCUSSING THE FLASH SPECTRUM 293
steadiness of the image of the sun on the slit of the spectro-
graph becomes less and less. In the short time at his disposal
for making observations, the writer came to the conclusion
that for photographing the flash spectrum without an eclipse
the best possible conditions are absolutely necessary, or in
other words, with seeing and steadiness of quality 10 where
10 represents the maximum of perfection. If therefore one
wishes to obtain such photographs without an eclipse, he
must be continually on the alert to catch the few precious
moments of perfect seeing when they come; and then if not
too impatient, after taking hundreds or possibly thousands
of photographs for this purpose, a photograph may finally be
secured which will be of quality equal to, or even better than,
that of Adams obtained in the early years at Mt. Wilson.
These observations only serve to emphasize the importance
of excellent seeing, no matter what method is employed for
photographing the flash spectrum.
Anticipating somewhat the theoretical considerations to be
developed in the three following chapters, it is possible to
make a summary of results achieved from a study of the
flash spectrum, and also to make recommendations for work
at future eclipses. The following general conclusions may
be drawn:
1. On account of the different conditions under which the
chromospheric and Fraunhofer spectra originate, it is prob-
able that wave-lengths from the two spectra differ systemati-
cally. However, these differences do not amount to as much
as 0.02 A.
2 . Every strong line in the Fraunhofer spectrum is found
in the flash spectrum, and every strong line in the latter
(with the exception of H and He lines) is matched by a line
in the former.
3. The flash spectrum may therefore be regarded as a
reversal of the Fraunhofer spectrum.
4. The " flash " is not an instantaneous appearance. At
the beginning of totality the chromospheric lines of greatest
elevation appear first, and at the end of totality remain the
last.
5. The " reversing layer " which contains the majority of
294 ECLIPSES OF THE SUN
the low-level lines of the chromosphere is about 600 km in
height.
6. The " reversing layer " has no existence separate from
the chromosphere.
7. It is the densest part of the chromosphere lying closest
to the photosphere, and it is the cause of the greatest por-
tion of the absorption producing the Fraunhofer lines.
8. The " Evershed-effect " measured in sun-spots, and
photographs of flocculi which exhibit vastly different aspects
when photographed at various elevations above the photo-
sphere prove that the shadings of such strong lines as H and
K are caused by absorption at different levels and pressures
above the photosphere.
9. The chromospheric spectrum differs greatly from the
ordinary solar spectrum in the intensity of the lines.
10. The Fraunhofer spectrum is essentially an arc spec-
trum. The chromospheric spectrum more closely resembles
the spark spectrum, and its spectrum corresponds to an
" earlier " type than that of the sun.
1 1 . Especially prominent in the chromosphere are the en-
hanced lines.
1 2 . The enhanced lines ascend to greater elevations above
the photosphere than do the ordinary lines.
13. The increased elevations cause greatly diminished
pressures.
14. As Saha has shown, the reduced pressures permit the
ionization of the atom. As a result, the lines of the ionized
atoms are specially prominent in the flash spectrum. The
enhanced lines are produced by the ionized atoms.
15. The depth of the chromosphere is not constant.
Recommendations for future work on the flash spectrum
may be briefly summarized. The most important contribu-
tion from the chromosphere will undoubtedly come from the
investigations of heights and intensities of the spectral lines
in order to gain further information regarding atomic struc-
ture. To be of the greatest value in furthering scientific
research, photographs of the flash spectrum should be se-
cured with large dispersion, they should extend as far to
the violet and as far to the red as possible, the definition
DISCUSSING THE FLASH SPECTRUM 295
should be of the very best and the exposures should be
timed so as to photograph the very lowest possible levels.
The occupation of a station near the edge of the moon's
shadow path would permit relatively long exposures on the
low-lying layers closest to the sun's pole. Such spectra would
afford interesting comparisons with those taken near the cen-
tral line of totality which give spectra near the sun's equator.
Another important investigation for the future will be to
make comparisons between flash spectra taken at different
phases of the sun-spot period. If we are to judge by the
changes which take place in the spectra of the corona, we
should expect that the flash would be richest in lines at times
of maximum sun-spots. The eruptions taking place near
spot zones seem to elevate the low-lying metallic vapors. If
this be true, it would be natural to expect that if it were pos-
sible to photograph at a constant level above the photo-
sphere in securing the flash spectrum at an eclipse, the lines
should appear to be of greater strength at sun-spot maximum
than at minimum.
The type of spectrograph is all important. Eclipses, how-
ever, are rare phenomena. After the eclipse of 1932, which
will be assiduously observed, the total eclipses of the next
two decades require long voyages and expensive expeditions.
Few institutions, except those like the Lick, U. S. Naval and
Mt. Wilson Observatories in the United States, and the
British Joint Permanent Eclipse Committee, can afford the
luxury of assembling spectrographs for infrequent use on
chromospheric work. Hence most astronomers will be forced
to use the equipment they already have, others, less fortunate,
must borrow their apparatus.
As it is impossible to employ a dispersion sufficiently high
to permit the detection of systematic differences in wave-
lengths between the solar and chromospheric spectra, we
come to the conclusion that eclipse wave-lengths are of sec-
ondary importance, serving as they do merely as a means of
accurately identifying the origins of the spectral lines. Al-
though it is far easier to get good definition by the use of a
slit spectrograph, each observer must come to the decision
whether to try the easier method and thereby sacrifice in-
296 ECLIPSES OF THE SUN
formation regarding levels, or to try the more difficult plan
of photographing without a slit in order to attempt to
gain knowledge regarding heights which are now about the
most important contribution that can come from eclipse
spectra.
In work on eclipses, as in all other branches of scientific
research, continued advances must be made, if the time and
energy and money are to be profitably spent. Just because
eclipses are rare phenomena is no reason in itself why an
astronomer without eclipse experience can expect to make a
scientific contribution of value unless he knows the subject
thoroughly and has a problem of importance to attack.
Prisms have advantages over gratings in their greater
light-gathering power. For work at the blue end of the spec-
trum, prisms may be the best means of securing the high
dispersion now necessary. On account of erratic conditions
of seeing at the time of an eclipse, no one should attempt to
increase the dispersion by increasing the focal length of the
camera to 20 feet or more. No photographs of the flash spec-
trum of first quality have yet been taken by this type of
prismatic camera. In the future, its use at eclipses should be
discontinued.
It is possible to use higher dispersion on the chromosphere
than has been employed up to the present. We badly need
photographs at the extreme violet end of the spectrum with
large dispersion in the region which cannot be reached by
glass prisms, and hence quartz must be used.
Except for the light-gathering power, gratings have dis-
tinct advantages over prisms. At the red end the prismatic
spectrum is crowded together. To get high dispersion, many
prisms must be used. The grating gives a " normal " spec-
trum and a greater region of wave-lengths in good definition.
If gratings are used, they should be concave and not flat grat-
ings. Similarly, larger dispersion than that employed to
date may be used profitably with concave gratings. To in-
crease the dispersion one cannot expect to have more lines
per inch than the number of 15,000 per inch which have been
used. The only other means is to work in the second order
(if it is possible to rule gratings specially for this purpose) , or
DISCUSSING THE FLASH SPECTRUM 297
to increase the radius of the grating beyond that of 10 feet,
the maximum so far successfully used at eclipses. As Ander-
son L has pointed out, if the seeing is not of the best at the
time of the eclipse, the area of the chromospheric arcs on the
photographic plate will be increased with increase of focal
length, with the consequent diminution in the intensity of
illumination. As a result, the faint chromospheric arcs will
be below the threshold value of the plate and, in consequence,
these lines will be conspicuous by their absence. To over-
come this difficulty, Anderson put into practice for the 1926
eclipse the use of a 21 -foot concave grating of 15,000 lines
per inch, but the sizes of the chromospheric arcs were di-
minished by the employment of mirrors. This method has
been tried out at the eclipses of 1926, 1927 and April, 1930,
but clouds interfered in each case. It will be tried again in
1932.
The author does not believe that anyone will be brave
enough, or perhaps foolhardy enough, deliberately to place
himself outside the path of totality in order to photograph
the spectrum of the chromosphere. At the eclipse of 1900,
Evershed found himself outside the eclipse track as the re-
sult of an accident. To have the longer time of observation
by observing at the cusps, it will be necessary to await the
time when a total or annular or large partial eclipse passes
near an observatory where there is a powerful equipment
with large dispersion. Observations of value will be pos-
sible only under the condition that the eclipse is more than
ninety-five per cent total. The present generation of active
astronomers will not see such conditions come to pass within
their lifetimes. At the 1932 eclipse, the physical laboratory
of McGill University will be inside the southern edge of the
eclipse path.
If progress is made in the near future on the spectrum of
the chromosphere with a much greater dispersion than is
possible at eclipses, the only method left is that without an
eclipse. Unfortunately, this work demands very high quali-
ties of seeing that practically never occur. Hence, taken all
in all, it appears probable that we shall have to rely on total
1 Publications A. S. P., 38, 239, 1926,
298 ECLIPSES OF THE SUN
eclipses for adding to the information already available on
the chromosphere.
The splendid work of Adams at the Mt. Wilson Observa-
tory in photographing the spectra of the brightest stars of
various types with very high dispersion will supplement the
work on the chromosphere by giving information on series
relationships and multiplet groups in spectra. The work
so beautifully inaugurated with the powerful spectrograph
attached to the loo-inch mirror may be carried out with
greater facility when the gigantic 2oo-inch telescope is put
into operation.
At the present time, astronomers are devoting much atten-
tion to the measures of intensities by means of the micro-
photometer. In the foregoing, the author has tried to point
out some of the difficulties to be overcome when applying pho-
tometric measures to eclipse spectra. Unless the measures
can be reduced to absolute units, fairly free from systematic
errors, the measured intensities will have a reliability little
higher than estimates by a skilled observer. In all of the
discussions so far published, the intensities of the chromo-
spheric lines have been compared with Rowland's values and
with those of the laboratory, both of which are on estimated
scales. Hence when reducing eclipse spectra, each observer
must decide for himself whether it is worth while both to
estimate and measure chromospheric intensities, when per-
force all comparisons must be made with arbitrary estimates.
However, it is very desirable that each eclipse spectroscopist
should place standard squares on his photographic plates so
that later these may be available for photometric purposes if
desired.
Fixed or moving plates may be used for the flash spectrum
with either prisms or grating. Those who disagree with the
author in his opinion that the fixed plate gives the more reli-
able information have the opportunity of using the moving
plate method. At the 1932 eclipse, both methods will have
a thorough trial for there will be many American and Euro-
pean parties in the field with well-equipped expeditions.
CHAPTER XVII
THE IMPORTANCE OF IONIZATION
THE discussion of the results of the flash spectrum
obtained in 1905 has shown the great importance of
enhanced lines, or those due to the ionized atom,
and the explanation offered by the writer was that the cause
of the enhancement was due to the great heights attained by
the vapors producing the enchanced lines and, consequently,
to the reduced pressures at which these lines were found.
It was also pointed out that at the time of an eclipse the
light from the sun is capable of reaching us only in a direc-
tion tangential to the sun's surface. As a result, a beam of
light from the bottom of a layer only 500 km in thickness
would encounter no less than 20,000 km of emitting atoms
in the tangential line of sight before getting out of the
shallow layer. Any theory that can explain the method
whereby atoms are ionized will be of the very greatest im-
portance in all problems of modern astronomy. Such a
theory has been developed by Dr. Megh Nad Saha. The
sun is the nearest of the fixed stars, and on account of its
proximity its structure may be examined in detail. In the
sun and stars are found high temperatures, very minute
pressures and electromagnetic conditions that together cause
ionization to take place with great facility. The celestial
laboratories thus opened to the astronomer have given him
the opportunity of supplementing the work of the physicist
and chemist in terrestrial laboratories in the combined attack
on atomic structure.
Accepting the correctness of the Bohr-Sommerfeld theory
of atomic radiation, and assuming that the general laws of
thermodynamics apply equally well to electrons and to mole-
cules of gases, Saha has been able to calculate the degree
of ionization that takes place in gases under different con-
299
300 ECLIPSES OF THE SUN
ditions of temperature and pressure, and has derived formu-
las which can readily be applied to conditions existing in the
atmosphere of the sun and of the stars. This theory ex-
plains both qualitatively and quantitatively many of the
features observed in the spectrum of the sun and of the stars,
and it likewise finds a ready application in laboratory spectra
under conditions when enhanced lines appear.
In addition to the original papers by Saha,1 valuable con-
tributions have been made by Milne,2 by Russell," and also
by many others.4 Assuming that the decomposition of a
molecule or an atom into one or more electrons and a posi-
tively charged ion is essentially of the same nature as an
ordinary chemical reaction, Saha derives a simple equation
to express the self-ionization of a gas at high temperatures.
The equation derived is:
P x2
^*
I — X2
x/(i — x} is the ratio of the percentage of atoms ionized
to those left neutral, and this ratio multiplied by the partial
pressure of the free electrons (P x/(i + x) ) is equal to Ky
which is a function only of the absolute temperature of the
gas and the ionization potential. This latter is a measure
of the work done to ionize a single molecule, or to drive an
electron from its neutral ring to infinity, and it is expressed
as the number of volts through which the electron must
fall to acquire this energy. Since the ionization potential is a
constant, the quantity K, in the formula above, depends only
on the absolute temperature. Hence for a given pressure,
the smaller the ionization potential P, the more nearly x
approaches unity, or in other words the more nearly com-
plete is the ionization. For all gases where the ionization
potential is known, Saha is enabled to calculate the per-
centage of ionization found under different conditions of tem-
perature and pressure. The higher the value of the ionization
1 Philosophical Magazine, 40, 472 and 809, 1920; Ibid., 41, 267, 1921; and
Proceedings of the Royal Society, A, pp, 135, 1921.
2 Monthly Notices, R. A. S. Many papers beginning 83, 1923.
3 Astrophysical Journal, 55, 119 and 354, 1921.
4 Eddington, Internal Constitution of the Stars, 1926.
Slit set at
3968.6
3968.2
3967.8
3966.4
3965-0
CALCIUM FLOCCULI PHOTOGRAPHED BY Fox WITH THE 4o-iNCH YERKES REFRACTOR,
AUGUST 25, 1904
The slit was set at different wave-lengths corresponding to different levels above the
sun's surface. Order: from lowest upwards.
U. S. NAVAL OBSERVATORY ECLIPSE STATION, AUGUST 30, 1905
The 40-foot camera is placed horizontally.
LICK OBSERVATORY ECLIPSE STATION, JUNE 8, 1918
The 40-foot camera is pointed directly at the Sun,
THK IMPORTANCE OF IONIZATION
301
potential, the higher must be the temperature to sustain a
given degree of ionization. This is readily seen in the case of
helium which possesses the highest known ionization poten-
tial, of 24 volts ; for the series due to enhanced helium is found
only in stars of the highest temperature.
Saha calculates tables giving the percentage of ionization
in atmospheres at various temperatures and pressures ( meas-
ured in atmospheres). The following tables are copied from
his publication.
PhKCKNTAGK lONIZATION OF CALCIUM
Pressure fatmos )
Temp.
IO
r
10
10 -
IO
10
0
4,000
o
0
0
3
9
26
5,000
o
2
6
20
55
00
6,000
7
8
24
64
93
99
7,000
7
2}
68
91
99
IOO
8,000
16
46
84
g8 5
100
IOO
10,000
46
8^
g8 5
IOO
100
IOO
1 2,000
76
9<> 5
100
IOO
IOO
IOO
14,000
00
IOO
IOO
IOO
IOO
IOO
Pl'RCl-NTAr.h lONI/ATION OF STRONTIUM
Pressure (atmos )
Temp.
IO
I
IO"1
0
_
—
4,000
o
O
2
5,000
I
3
II
6,000
4
13
37
7,000
IO
32
7 •*>
8,000
2 2
58
91
iorooo
0
go
9<S 5
I 2,000
82
97 5
IOO
14,000
93
IOO
IOO
to-
10 4
5
73
45
g6
78
97
IOO
g6
IOO
IOO
;g
IOO
IOO
oo
IOO
IOO
oo
IOO
JOO
00
IOO
IOO
Saha applies his theory to explain the differences between
the spectrum of the sun and the chromosphere, and Russell
broadens the scope of the theory by applying it to show the
meaning of the differences in intensities of lines in the sun-
spot and in the solar spectrum. The results furnish a com-
plete triumph for the Saha theory.
;j02 ECLIPSES OF THE SUN
Fortunately for the theory, the flash spectrum gives the
height in kilometers (or miles), that the various vapors
producing different spectral lines extend above the level of
the sun's photosphere. Within the past few years there has
been a great revision of ideas regarding the pressures found
in the reversing layer. Where formerly it was regarded that
these pressures amounted to several times that found at
sea level on earth, it is now known with certainty that the
chromospheric pressures are even less than a thousandth of
an atmosphere. According to many researches in recent
years by a number of competent investigators,1 it is known
that the solar temperature is not far from 6000° C. abso-
lute. Schwarzschild ~ has shown that if the variation in
temperature in the upper atmosphere is caused only by radia-
tion, then the temperature should not fall below 6ooo°/2*,
or 5000°, approximately. Hence in the solar atmosphere,
where the temperatures vary between 5000° and 6000°, it is
easy to see at a glance from Saha's tables the percentage of
ionization. For instance, in the chromosphere at elevations
where the pressure amounts to one ten-thousandth of an at-
mosphere, ionization for calcium is ninety per cent complete.
Saha's theory is in complete harmony with the conclusions
derived from the discussion of the flash spectrum and fur-
nishes an adequate explanation. The case of calcium is
most interesting. The lines H and K are enhanced lines and
are caused by the ionized atom, while the g line at 4227 A
takes its origin from the neutral atom. In the neighborhood
of the reversing layer, both normal and ionized atoms will
be plentiful and the presence of g and the H and K lines are
fully explained. At great heights above the reversing layer,
however, the pressure will be very small and, as a result,
ionization will be nearly complete. Under these conditions
the neutral atom cannot exist, the ionized atom exhibiting
the enhanced lines alone being found. In the flash spectrum,
measures indicate that the H and K lines extend upwards
to heights of 14,000 kms, but the g line only to 5000 kms.
The presence of H and K above the 5000 km level shows
1 Russell, Dugan and Stewart, Astronomy, 535, 1927.
- Gott. Nachrichten, 41, 1906.
THE IMPORTANCE OF IONIZATION 303
that calcium actually exists above this level, and we must
therefore interpret the failure of the atom to emit the g
line above the 5000 km level to be due to the fact that prac-
tically all of the atoms are ionized and there are few normal
atoms left to produce the 4227 line. For strontium and
barium, which also exhibit enhanced lines, their ionization
potentials (5.7 and 5.1 volts) are lower than that of calcium
(6.1 volts), and consequently complete ionization in the
chromosphere is found at higher pressures or, in other words,
at lower elevations above the photosphere. The strongest
line of neutral Sr is 4607 A, which reaches an elevation of
only 400 km, while the ionized atom Sr+ shows the two
lines at 4215 A and 4077 A which are found at elevations
much greater than that of the neutral atom, in fact, at 6000
kms, but this level is much less than the 14,000 km height
attained by the H and K lines of C0+-
In addition to Ca and Sr, Ba also belongs to the alkali
earths of Group II of the periodic table of the chemical
elements. In the following table, there are given the details
concerning the strongest single line found in the neutral series
of each of the three elements, and also the strongest doublet
belonging to the ionized atom. In the second column is given
the wave-length and in the last the heights in kilometers
measured in the flash spectrum. In the four other columns
are given the intensities in sun, chromosphere, arc and spark,
respectively. The intensities for the laboratory spectra are
taken from Exner and Haschek. In spite of its high atomic
weight ( 137.4), Ba is a conspicuous element, both in the sun
and in the chromosphere, on account of the enhanced lines.
No neutral lines of Ba are found either in the sun or in the
chromosphere.
This small table contains some of the conclusions derived
from a study of the flash spectrum which, on account of
their importance, will bear being repeated. The strongest
line in the Fraunhofer spectrum is K (Rowland intensity
1000) and this line is the strongest in the flash spectrum
(intensity 200 on a different scale). The enhanced lines
which are produced by the ionized atom (designated by +)
have an intensity in the chromosphere greater than in the
304
ECLIPSES OF THE SUN
sun, and these enhanced lines extend to greater elevations
above the photosphere than do the ordinary or unenhanced
lines.
In the flash spectrum the elements arranged according to
the intensity of the strongest lines give the following se-
quence: Ca, H, He, Tiy Mg, Sr, Sc, Cr, Ba, Fe, A I and Y.
This order differs materially from a similar table for the
COMPARISONS OF THE STRONGEST LINKS OF THE NKUTR\L AND IONI/ED ATOMS
Klement
Wave-Length
Sun
Chromo-
sphere
Arc
Spirk
Height
in km
Ca
4^27 (g)
20
40
IOOO
TOO
S,ooo
CVi-{-
303? (K>
IOOO
2OO
=500
IOOO
I4,OOO
Ctf-h
3Q6g (H)
700
'75
300
500
T4,OOO
.Sr
4607
I
2
1OOO
50
400
.SV-h
40/7
8
80
IOOO
IOOO
(>,ooo
Sr+
4215
5
60
500
500
(),OOO
Bu,
5535
—
_
loo
3"
—
Ba-{-
4554
8
5°
rooo
IOOO
2,000
Ba +
4Q34
7
^5
IOO
300
J,2OO
ordinary solar spectrum. In lists arranged according to the
number of lines, Fe stands first in each case. Ni and Co
are second and sixth in the solar spectrum, but become
sixth and eighth, respectively, in the flash spectrum. V is
the eighth element in the Fraunhofer spectrum but fourth
in the chromosphere. Cb, Mo and Pd appear in the first
list but not at all in the second, while in the chromosphere
is found He which is absent in the ordinary spectrum. The
rare earths are represented relatively by more lines in the
flash than in the ordinary spectrum.
Interesting results are obtained when the total number
of lines identified in the flash spectrum are arranged accord-
ing to the periodic tables of the elements. This is given in
the table on page 306.
For each element in the table there is given: in the first
line the atomic number and the chemical symbol, in the
second line is found the atomic weight, and in the third line
in italics the total number of lines in the chromosphere.
THE IMPORTANCE OK IONIZATION 305
The mark (?) is found with the elements Cb, Mo, Ag and
Cd to signify that there are no strong lines in the chromo-
sphere resulting from these elements, but they may possibly
be represented by weak lines in combination with stronger
lines of other elements. Eight of the rare earths are repre-
sented in the flash spectrum by a total of 1 78 lines, Ce, La
and Nd being responsible for 57, 47 and 31 lines, respectively.
All of the rare-earth lines without exception are enhanced
lines. The element Ca occupies an interesting place in the
table. To the right of Ca in the table are found Sc, Ti, V, Cr,
Mn, Fe, Co and Ni, all represented by numerous strong lines
both in chromosphere and in Fraunhofer spectrum. Verti-
cally above Ca is Mg, and below it are Sr and Ba, all impor-
tant elements in solar investigations. In column I, of the
alkali metals, the only element represented in the chromo-
sphere is Na, where it is found with less prominence than in
the Fraunhofer spectrum. He is the only element in column
O, the inert gases, that manifests itself in the flash spectrum.
As mentioned above, the chromospheric and solar spectra
agree exactly as to wave-lengths, but differ very greatly in
the relative intensities of the lines. These differences of
intensity are accentuated in the case of the " enhanced "
lines, or those which are more intense in the spectrum of
the spark than in the arc.
A comparison of the intensities of the lines in the Fraun-
hofer, chromospheric, arc and spark spectra forces one to
the conclusion that while the Fraunhofer spectrum corre-
sponds to the arc spectrum, the spectrum of the chromo-
sphere more closely resembles that of the spark spectrum.
The sun thus exhibits three distinct spectra under different
conditions: the chromospheric spectrum, the Fraunhofer
spectrum and the sun-spot spectrum. These three closely
resemble the spectra of the stars y Cygni, Capella and Arc-
turus, respectively; y Cygni representing an " earlier " and
Arcturus a " later " type of spectrum than that of the sun.
Hence, the Harvard classification of the three spectra are:
chromosphere = Fo, sun = Go and sun-spot spectrum = Ko.
A comparison of the spectra of the sun and the chromo-
sphere reveals the following interesting facts: first, the
306
ECLIPSES OF THE SUN
g
o
</5 C
H **
g -s
1 -S
r^ rt
f T ] |Jj
a c:
H
CO ^
•*£ *-"
r , ^j
PH 3
4;
c
o
10 O
<N in t-s
CQ
0§
cc "2
L. O
:
O 0
-t a
O
c
s: x
^ -t
c ^
"3,2
n
9 ^
s2.8
I- O
-t >-l
'0VJ
THK IMPORTANCE OF IONIZATION 307
values of Rowland, giving the intensities of the lines of the
ordinary solar spectrum, are comparable with arc intensities,
while those of the chromosphere approximate more closely
to the intensities of the spark; and second, the enhanced
lines of any element are in every case stronger in the chromo-
sphere than the lines of the neutral atom, and the heights
attained are much greater. The results are a complete veri-
fication of Saha's theory that enhanced lines are caused by
ionization which becomes more and more complete in the
sun's upper atmosphere where the great altitudes make the
pressures very small.
Not only is Saha's theory able to explain the facts regard-
ing the enhanced lines of the ionized atom, but it makes
clearer the details concerning the lines of the neutral, or
un-ionized atom. Take, for example, the D-lines of sodium,
so well known in the Fraunhofer spectrum. At pressures
below one-thousandth of an atmosphere, Na with an ioniza-
tion potential of 5.1 volts, is completely ionized. The D-
lines belong to the principal series of the normal atom, and
accordingly, they have no connection with, and are not pro-
duced by, the ionized atom. The normal atoms forming the
D-lines therefore cannot exist when the pressure in the
chromosphere is reduced to the thousandth of an atmos-
phere. It is quite in keeping with theory to find the flash
spectrum photographs furnishing the information that the
D-lines reach the comparatively small heights of only
1500 kms above the photosphere (H and K are found at
14,000 kms). The contrast in behavior in passing from
the Fraunhofer to the flash spectrum for the D-lines of
sodium on the one hand, and Dt of helium on the other,
is very marked. The sodium lines are weakened in the
flash while the helium line is enormously strengthened,
being entirely lacking in the ordinary solar spectrum. Fur-
thermore, in view of the great prominence of the D-lines in
the solar spectrum, it has always been a matter of the great-
est surprise that the element potassium, so similar in its prop-
erties to sodium, is not found represented by strong lines in
the sun. The explanation is a very simple one. The lines
of the neutral atom of potassium, corresponding in its series
308 ECLIPSES OF THE SUNr
to the D-lines of sodium, are found in the deep red part of
the spectrum at wave-lengths 7664 A and 7699 A, and con-
sequently they are not in the visible spectrum. Like the
D-lines, both lines of this pair are strengthened in sun-spots.
The only lines due to potassium found in the visible solar
spectrum are very weak lines at 4044 A and 4047 A, of
Rowland intensities o and oo, respectively. Russell finds
both these lines strengthened in sun-spots. No enhanced
lines are known for Na or for K, and consequently neither
element is conspicuous in the flash spectrum.
The temperature of the photosphere is approximately
6000°, while that of sun-spots is lower and probably some-
where near 4700°.' The pressures found in sun-spots can
differ but little from those in the lowest depths of the re-
versing layer. On account of the lower temperatures in the
spots, however, ionization is less complete according to
Saha's theory. As a result, the lines of the neutral atom,
the so-called " low temperature " lines, are strengthened in
sun-spots, while on the other hand, and also as a direct con-
sequence of Saha's theory, the enhanced, or u high-tempera-
ture " lines are weakened in the spectrum of sun-spots.
Since the variations in pressure in the neighborhood of the
sun are much greater than the variations in temperature,
it would have been more fortunate if the enhanced lines
had been referred to as "low-pressure" rather than as
" high-temperature " lines.
In the light of Saha's theory, Russell has investigated the
sun-spot lines. His conclusions for the alkali metals (loc.
cit., p. 129) are here briefly given. Sodium is represented
in the sun by the principal, diffuse and sharp lines of the
neutral series, and all of its lines are much strengthened in
the spot spectrum. Potassium is represented by the principal
series only and its lines are also strengthened in sun-spots.
Lithium is found in the spot spectrum only at wave-length
6707 A. Rubidium, hitherto unknown in the sun, was dis-
covered to be present by both members of the strongest
pair of the principal series, the wave-lengths being 7800 A
and 7947 A.
1 Miss Moore, Astro physical Journal, 75, 222, 1932.
THE IMPORTANCE OF IONIZATION 309
We are now in a position to explain some of the peculiari-
ties regarding the appearance of lines in the spectrum of the
sun and chromosphere and the heights found in the flash
spectrum. The peculiarities noted (Chapter XVI) are as
follows: The H and K lines of calcium of atomic weight 40
are stronger in sun and chromosphere and reach greater
heights than hydrogen, the lightest gas in the sun. In
the chromosphere the whole Balmer series for hydrogen is
found, while only the first four members are seen in the
Fraunhofer spectrum. No helium lines are found in the
ordinary solar spectrum, but they are of great strength in
the chromosphere. The elements, other than H and He, ar-
ranged according to the periodic table (see page 306) have
remarkable progressions in the number and intensities of
the lines involved. Group II, the alkali earths, represent the
strong lines in the chromosphere, the strongest lines of
all belonging to Ca. Group I, the alkali metals, have few
strong lines in sun or chromosphere other than the D-lines
of Na. None of the lines of Group O originating from the
inert gases Nc, A, Kr and Xe are found in sun or chromo-
sphere. In Group III, strong lines are found for Aly Sc, Y,
and the rare earths, but the strength of lines is not as great
as reached by the corresponding elements in Group II. In
Group IV intensities are still less. The only element in
Group V, found with certainty in the chromosphere, is va-
nadium, and in Groups VI and VII, O and Cr, and Mn, re-
spectively, and in Group VIII, the three metals Fey Co,
and Ni.
It is easy to see why the metals of Group I, the alkalis,
are represented by such feeble lines in the chromospheric
spectrum. For reasons already stated, the enhanced spectra
of the alkali metals resemble the spectra of the neutral atoms
in the preceding group in the periodic table, the inert gases;
and consequently, such spectra are very difficult to produce
on account of the outer electrons forming part of a very
stable ring or shell. As a matter of fact, no enhanced lines
are found for any of the alkali metals in the visible portion
of the spectrum. It is apparent, therefore, why the alkali
metals cannot be prominently represented in the chromo-
310 ECLIPSES OF THE SUN
sphere since the flash spectrum is essentially an enhanced
spectrum.
Quite different is the situation regarding the elements of
Group II, the alkali earths, which are specially important
in the chromospheric spectrum, for the reason that the
strongest lines of their spectra are enhanced lines, and the
principal members ( is — 2p] of the series lie in the familiar
portion of the spectrum. This is true for the elements with
the exception of Mg, the strongest lines of which are found
in the extreme ultra-violet at 2795 A and 2802 A, in a region
in fact where no light can reach the earth's surface from
the sun on account of the absorption of light in the earth's
atmosphere.
The great strength of the H and K lines of calcium both
in the sun and in the chromosphere and the great heights to
which these lines extend in the flash spectrum are now
completely explained as the result of Saha's theory. In
spite of the great difference in the atomic weights of the
two gases, calcium and hydrogen, the atomic weight of the
former being forty times the latter, the spectrum lines of
calcium are seen to reach greater heights than are attained
by hydrogen. The reasons for this curious circumstance
are very simple. H and K are lines due to the ionized atom,
and in virtue of the great elevations the ionization is greatly
increased. The lines H and K are the chief lines belonging
to the principal series, and in fact are the only lines of this
series in the chromosphere. Only five others lines of Ca+
are found in the chromosphere, they are all of subordinate
series and they have much smaller intensities than H and
K. The hydrogen lines in the visible spectrum, on the con-
trary, belong to a subordinate series and not to the princi-
pal one.
In the above, attention has been called to the great differ-
ences in the spectra observed in sun, chromosphere and sun-
spots. To find an explanation of the observed facts, it is
necessary to look more closely into the newer developments
regarding the structure of the atom. In Chapter XIV it was
shown that many atomic characteristics are explained on the
assumption that the electrons forming the more complex
THE IMPORTANCE OF IONIZATION 311
atoms are arranged in successive shells. The inert gases
helium, etc. in column O of the periodic table, have atomic
numbers of 2, 10, 18, 36, 54 and 86, and hence it has been
assumed that the concentric shells contain 2, 8, 8, 18, 18 and
32 electrons, respectively.
Lithium of atomic number 3, and sodium of atomic num-
ber n, are elements which have one external electron out-
side of a complete shell. The process of removing an outer
electron from an atom is called ionization. This may be
accomplished by various electrical processes, some of which
permit the measurement of the energy required in volts. As
each electron carries a unit charge of negative electricity,
an ionized atom, called an " ion," has a net positive charge
of electricity. As we have seen, the spectrum of the ionized
atom is radically different from that of the neutral atom.
For reasons stated in the foregoing, the spectral lines be-
longing to the ionized atoms are called " spark " or " en-
hanced " lines.
Not only can an atom be removed from an outer shell
through ionization, but a given atom or ion can be excited.
That is, the position of one or more of the electrons can be
changed within the atom itself. To change from the normal
state to an excited state requires energy. If this energy
is absorbed by the atom, the spectrum refers to the dark line
or absorption spectrum. When the change takes place in
the reverse direction, from excited state to normal state, the
same amount of energy is emitted by the atom and the
spectrum is a bright-line or emission spectrum. As already
stated in a previous chapter, the transference of energy
from one state to another is always in definite amounts, or
quanta, of energy.
It has been found that the simple element hydrogen can
exist in more than twenty excited states. More than one
hundred different energy levels have already been discovered
by spectroscopic means for the more complicated atom
iron. The transference of energy from the excited to the
normal state has been found to take place in the brief inter-
val of time of approximately one-millionth of a second.
Planck's quantum theory is justly regarded as one of the
312 ECLIPSES OF THE SUN
most important triumphs of the twentieth century. By
means of it, we know that the frequency of the radiation
emitted by the atom, and hence the wave-length, is exactly
proportioned to the amount of energy radiated.
In the case of hydrogen, we have seen that the wave-
lengths of the 35 lines which appear in the chromosphere can
be represented by the difference between two spectroscopic
terms. With ordinary hydrogen and enhanced helium there
is only one external electron. When there are two or more
electrons, the mathematical computations become very com-
plicated and as a result the exact calculations and predictions
of spectral lines are impossible. However, there are sound
reasons for believing that all electrons in the outer shells of
atoms, no matter how complicated these atoms may be,
obey rules, called quantum conditions, that are quite similar
to those underlying the simple structures of hydrogen and
enhanced helium. The changes in the outer electrons give
rise to radiations which produce spectral lines. The energy
of the electron depends on the relation of the size, shape and
inclination of the orbits to each other, and hence with the
more complicated atoms, the number of different energy
states, or spectroscopic terms, is much greater than in the
simple case of hydrogen.
This is not the place to go into the technical details in-
volved in the transference of energy from one spectroscopic
state to another. For the more complicated atoms, it is im-
possible to represent the orbits as was done so simply for
hydrogen in Figure 4. However, by means of a diagram
suggested by Bohr and Grotrian, the different energy states
of an atom can be represented quite readily. Each state is
represented by a dot. The distance below a heavy horizon-
tal line is proportional to the amount of energy ( measured
in volts) which must be communicated to the external elec-
tron to pull it entirely away from the atom and thence to
ionize the atom. The lowest dots in the diagram represent
those of least energy while the heavy horizontal line repre-
sents the ionized condition.
The rules of the game ' laid down for the electrons to fol-
1 See Russell, Dugan and Stewart, Astronomy, 548, 1927.
THE IMPORTANCE OF IONIZATION 313
low are not complicated. In the diagram, states correspond-
ing to orbits of the same angular momentum plotted by
dots in the same column thus s, py dy f, gy h, etc., represent
conditions of increasing angular momentum. When there is
a transference of energy from one state to another, two of
the dots are joined by a line. An atom in the is state (the
lowest energy state in the s column) can change to any of the
p states but not to the others; or an atom in the ip state can
change to any s or d state, and so forth.
In the sodium spectrum, for instance, when a small amount
of heat is applied, as in the Bunsen burner, the only lines
emitted are those confined to the two lowest levels s and p.
The lines emitted correspond to transitions from the p states
to the lowest s state. If white light is passed through sodium
vapor these lines are absorbed. This series of lines is desig-
nated by is — mp. The level is is the normal state of
the sodium atom in consequence of the lowest amount of
energy. If the atom is excited and is in the ip state, it can
return to the normal state only by the radiation of a quan-
tum of energy corresponding to the transition 15 — ip,
which causes the appearance of the familiar D lines in the
spectrum.
The transitions is — mp are called the principal series.
If the temperature is raised above that of the Bunsen burner,
by the application of electricity, the atom can exist in higher
energy states, such as 2^ and 2d. With increase of tempera-
ture, the fraction of atoms in the ip state, though quite small,
increases and hence the intensity of the lines become greater.
At still higher temperatures, the fractions of the atoms in
the 2$ and 2d states continually increase, with the consequent
emission of lines represented by the transitions ip — 2s
and ip — 2d, etc.
If sodium is placed in the electric arc, then it is found that
all the lines of the series is — mp are sharp while the lines
ip — md are more fuzzy or diffuse. Hence the significance
of the letters s and d.
The amount of energy required to raise an atom from the
normal state to any given excited state is called the excitation
potential which is expressed in volts. A simple formula con-
ECLIPSES OF THE SUN
nects the energy 7, in volts, with the wave-length A, in ang-
stroms as follows.
V _i^45
A
The p levels of Na, and also of all the alkali metals are
double, and hence the transitions cause double lines in all
the elements in column I of the periodic table just as with
the familiar D lines of sodium.
When there is more than one valence electron, the spectra
are much more complex than that of sodium. There are
then many different energy states and these may be single,
double, triple and so forth up to eight-fold. The transitions
from one energy level to another level give rise to numbers
of lines known as multiplet groups. These may contain as
many as fifteen members of varying intensities, some lines
strong and some weak.
All of these important spectroscopic developments have
taken place in the past ten years. The chief workers in
bringing order out of chaos, in the grouping of spectral lines
into multiplets and deriving the excitation potentials have
been A. Fowler, Russell, Saunders, Meggers and Miss Moore.
Their investigations have been greatly helped through accu-
rate wave-lengths furnished by King of Mt. Wilson and
Meggers of the Bureau of Standards.
The method of finding series relationships is somewhat
similar to that used for the simple element hydrogen. In-
stead of working with the observed wave-lengths it is found
to be easier to work with frequencies, or the reciprocal of
wave-lengths. Certain rules have been evolved to which the
frequencies are subjected. Then in a manner somewhat simi-
lar to that of working out a Chinese puzzle, relationships
are gradually discovered between the lines of a certain
element, and finally these lines can be grouped into
multiplets.
Not only are the wave-lengths, or frequencies of the spec-
tral lines found to obey the quantum conditions, but the
intensities are also subject to laws. Since 1922 the prog-
ress in this work has been very rapid until now all of the im-
THE IMPORTANCE OF IONIZATION 315
portant lines in the spectra of most of the elements have been
interpreted.
In unravelling the puzzle, King's temperature classes have
been of the greatest use. Lines of Class I appear at the low-
est temperatures, that of the Bunsen flame. As the tem-
perature is raised, first through the electric furnace and then
at the higher and higher temperatures of the arc and spark,
lines of Classes II, III, IV and V successively appear and the
lines of the earlier classes become stronger and stronger.
Class V lines appear in the arc only. Conversely, at lower
and lower temperatures, all of the lines become progressively
weaker and lines disappear in groups. The last lines to dis-
appear, those that are visible even at the lowest tempera-
tures, are called ultimate lines. These correspond to transi-
tions to or from the lowest level. Lines from higher levels
form subordinate series.
With increase of temperature the energy to which the
atoms are subjected increases. The rate at which atoms are
ionized increases with the temperature. If the electrons
liberated from the atom by ionization could be kept from
combining with some other atom, then the process would go
on until there were no more neutral atoms left. However,
the liberated electron soon meets another ion and combines,
again forming a neutral atom. Evidently the relative num-
bers of neutral and ionized atoms depend on conditions.
High temperature increases the rate at which atoms are
ionized while on the other hand high density, where atoms are
crowded together, increases the rate of recombination into
neutral atoms. Hence it is evident that at a constant tem-
perature, ionization increases in amount with decrease in
density or pressure. At the same time it is evident that at
the same temperature and pressure those elements can give
up an external electron most freely when the energy required
for this process, the ionization potential, is the least. Or in
other words, the greater the ionization potential, the less the
degree of ionization.
As already stated, from a knowledge of heights to which
vapors ascend in the chromosphere, Saha was able to show
that close to the photosphere where the temperatures
316 ECLIPSES OF THE SUN
changed but little, increase of height meant decrease of
density and pressure and a greater facility whereby atoms
became ionized. Hence with the lines of the spectra grouped
into multiplets for which excitation potentials are known, we
are enabled to explain quite simply most of the problems
connected with the chromosphere.
Let us take as an example, the interesting element radium
in order to see whether or not it is in the sun. Twenty years
ago there was much discussion over the question, Dyson
having found flash spectrum lines due to radium, while
Evershed and Mitchell took the opposite stand. The strong-
est lines of the principal series of enhanced radium are at
3814 A and 4682 A, while three lines belonging to the diffuse
series are at wave-lengths 3649 A, 4340 A and 4436 A.
These are the strongest lines of Ra+, and if radium is in the
chromosphere, we should unquestionably expect it to display
its presence by these wave-lengths. As shown in Popular
Astronomy, 21, 321, 1913, each of these five lines is already
satisfactorily identified by coincidences with lines in Row-
land's Tables, without invoking radium as a source. If
therefore, we are to prove that radium is in the chromosphere,
it will be possible only as the result of flash spectrum photo-
graphs with much greater dispersion than those taken up to
the present.
The case of the element Mg is specially interesting for
the reason that it is one of the alkali metals and is found in
Column I of the periodic table immediately above the ele-
ment Ca. The strongest lines of the solar and chromo-
spheric spectra are the H and K lines of enhanced calcium.
Unquestionably Mg is very abundant in the sun, but why
then are there no very intense lines of ionized M g found in
sun and chromosphere? The reason is not that the ioniza-
tion potential is too high, for the values of Ca and Mg
differ little, being 6.1 and 7.6 volts, respectively. In the
chromosphere appear the three lines of the well-known
6-group in the green, there is a triplet in the violet at 3829,
3832 and 3838 A, all ascending to heights of 6000 or 7000
km. Farther to the violet is another triplet at 3329, 3332
3336 A. Each of the three triplets has an excitation
THE IMPORTANCE OF IONI/ATION 317
potential of 2.70 volts. In addition there are many singlet
M g lines in the chromosphere of the higher excitation poten-
tial of 4.33 volts. These lines of Mg are all of them much
more prominent than the corresponding lines in the spectrum
of Ca. Hence it appears certain that Mg is a more promi-
nent, and thus a more abundant element in the sun than Ca.
But where are the ultimate lines of enhanced Mg corre-
sponding to the H and K lines of enhanced Ca? The answer
has already been given. They are far in the ultra-violet, at
wave-lengths 2795 and 2802, and on account of the absorp-
tion in our terrestrial atmosphere they cannot be photo-
graphed either in the sun or in the chromosphere. The only
line of Mg-\- of any importance in either solar or stellar
spectra is the line at wave-length 4481 A. In the flash spec-
trum this line exists but it is comparatively weak and is de-
tected only to a height of 400 km. The reason is now clear.
This line has a high excitation potential of 8.82 volts, it
does not appear at all in the arc spectrum. Hence its pres-
ence only in the spectra of the hotter stars is readily ex-
plained.
Saha's theory thus interprets in a beautifully clear man-
ner the systematic differences between the flash spectrum,
the solar spectrum and the sun-spot spectrum. It goes
much further, however, and furnishes the causes of the
progression in type of the stars from the red stars of class M
to the early types of B and O. Lockyer was the first to call
attention to the change in the appearance of the lines H and
K, very faint or even missing in late M stars, with a maxi-
mum intensity in the solar, or Go stars, and becoming faint
again in early B stars and disappearing in certain O stars.
Lockyer 's interpretation, one of temperature only, was un-
satisfactory. The hydrogen lines have their maximum at
type Ao and are less intense in both the earlier and later
types. The lines of neutral helium appear only in the stars
of very early type, while the 4686 line and the Pickering
series due to enhanced helium are found only in still earlier
types. The conditions of appearance and disappearance of
spectral lines due to ionization are calculable, and it has
thus been possible to assign temperatures to stars of dif-
,'318 ECLIPSES OF THE SUN
ferent types which are in substantial agreement with those
derived from other lines of research. All of the difficulties
have not been entirely cleared away, but there has been a
great step forward.
The theory of ionization has shown the essential unity of
astronomy, proving not only that the sun is a typical star
but also that a study of the stars can shed much information
on solar questions. The great problem of astronomy, the
evolution of the stars and the structure of the universe, can
find their complete solution only through an intimate study
of the ultimate constitution of matter. The size of an atom
can be deduced from observations of the gigantic stars. The
structure of the atom and the theory of ionization are un-
questionably among the most important problems of present-
day physical science.
CHAPTER XVIII
HEIGHTS AND RELATED PROBLEMS
THE conclusions drawn from eclipse spectra that
strong lines originate at higher levels above the
sun's surface than do lines less intense have very
important consequences in the problem of the period of rota-
tion of the sun. The determination of this rotation by spec-
troscopic methods is one of the very greatest perplexity
and still awaits an adequate solution. The information
drawn from direct observation of sun-spots was positive
enough as far as it went. At the equator on the sun, spots
take about twenty-five days to make a complete circum-
ference, while at latitudes north and south, the sun rotates
more slowly , a day longer being required for a spot at 30°
than at the equator. On the whole, the information from
spots furnishes contradictory conclusions since the indi-
vidual spots have peculiar motions of their own which are
not representative of the general surface of the sun. Few
spots appear at distances greater than 40° from the sun's
equator, and manifestly it is impossible to determine the
law of rotation in high latitudes where observations on spots
are impossible.
With the application of the spectroscope and the photo-
graphic plate to the problem, it was confidently expected that
all difficulties would disappear, since the measurements were
henceforth to be made on sharp and well-defined Fraunhofer
lines. All that seemed necessary for a complete solution of
the problem was to utilize a spectroscope of sufficiently high
dispersion so that the shift in wave-length due to rotation
could be measured with an adequate degree of precision.
The great advantage of the spectroscopic method was that
the observations might be carried out at any time without
waiting for the appearance of a spot. A still greater ad-
319
320 ECLIPSES OF THE SUN
vantage, however, was that observations were not confined
to the zones of sun-spots, but could be pushed even to the
sun's poles. At the solar equator, the eastern limb advances
at the rate of 2 .o km (1.2 miles ) per second, while the western
limb recedes at the same rate.
From observations of spots, several different empirical
formulas have been devised to represent the rotation of the
sun at different latitudes. Chief among them may be men-
tioned those of Carrington and Faye. The latter has usually
been regarded as the most satisfactory formula, and to it
spectroscopic observations closely conform. Faye's equation
may be readily adapted for spectroscopic work and takes the
form l
v + Vi = (a — b sin2/) Cos /
where v is the velocity in the line of sight deduced from the
actual observations; v\ is a correction allowing for the orbital
revolution of the earth so as to convert synodic periods to
sidereal ; / is the latitude of the region on the sun under in-
vestigation; and a and b are velocities measured in kilo-
meters (or miles) per second. It has been assumed that a
and b are constants, or, in other words, that the sun's rota-
tion is not varying. If b is equal to zero, then the sun would
rotate like a solid sphere with equal angular rotations in all
solar latitudes.
The first spectroscopic observations for determining solar
rotation are more than forty years old, and were made by
Duner of Upsala. Two lines were chosen in the red and
their wave-lengths were compared with terrestrial lines which
consequently show no rotational shift. The measures were
carried to within fifteen degrees of the poles of the sun. Ob-
servations have been in progress continuously for more than
thirty years. The values for the first decade of intensive
work have furnished J the basis for a detailed study of the
problem.
After the expenditure of so much time and energy on
this research it must be confessed that the results attained
1 Newall, Monthly Notices, R. A. S., 82, JOT, 1921.
2 St. John, Publ. Astron. Soc. Pacific, jo, .$19, 1918.
SUN-SPOT GROUP AND PROMINENCE PHOTOGRAPHED AT MT. WILSON
These photographs taken in the red light of hydrogen show exquisite detail.
5
Q
W
I
W
U
5
O
S!
C4
8
I
OH
I
HEIGHTS AND RELATED PROBLEMS
321
are a grave disappointment. A glance at the velocities at the
equator given in the table will reveal values ranging in size
from 1.86 to 2 .08 km per sec. The measures were carried out
very carefully, using every precaution to free them from er-
LINKAR VELOCITY OF SOLAR ROTATION AT THE EQUATOR
Observe
Location
Velocity
km /sec
No of
Lines
Region
Date
Duner
Upsala
2 08
2
6301-6302
1900 5
Halm
Edinburgh
2 04
2
6301-6302
1904
Adams
Mt. Wilson
2 06
2O
4196-4294
1907
Adams
Mt. Wilson
2 05
22
4196-4291
1908 5
Storey and Wilson
Edinburgh
2 08
10
6280-6518
1909
Plaskctt, J. S.
Ottawa
2 01
19
5506-5688
1911
Plaskett, J. S.
Ottawa
2 O2
T.S
4196-4291
191 1
De Lury
Ottawa
I 97
19
5506-5688
1911
Hubrecht
Cambridge
i 86
40
4299-4400
igi i
Plaskett, J S
Ottawa
2 01
27
4250 and 5600
1911-12-13
Schlesinger
Allegheny
2 OO
20
4058-4276
1912
Even»hed and Kovds
Kodaikanal
I 05
—
3906 and 5624
J9*3
Plaskctt, II. II.
Ottawa
i g8
T 2
5576-5628
1913
St. John and Ware
Alt Wilson
i 94
35
4123-4338
1914
Plaskett, H II.
Ottawa
1 95
5
5goo-
1915
St. John and Ware
Mt. Wilson
i 04
26
5018-5316
1914-18
St John and Ware
Mt. Wilson
i 95
7
6265-0337
1916-17
rors. Each of the results in the above table is the mean of
a very great number of observations on many different spec-
trum lines (in one case numbering forty), and it would seem
as a consequence, that the measures should have a high de-
gree of precision with the final values entirely free from sys-
tematic errors. Taken as a whole the measures seem to prove
conclusively that during the two decades of observation the
sun's speed of rotation has gradually diminished, showing a
total change of five per cent. Before accepting this result as
the truth, we must not forget the fact that the wave-lengths
of lines in the spectrum have not the constant values originally
supposed to exist; and to the many variations already known,
eclipse observations add another, viz., that the stronger spec-
trum lines occur at higher levels in the sun and must therefore
display greater velocities of rotation. It is manifest that
if the observations of one observer are to be compared with
those of another, it will be necessary to subject the lines to
a number of refinements as follows: ( i ) , Only lines with well-
322 ECLIPSES OF THE SUN
determined wave-lengths should be employed, they should
not exhibit any " pole-effect," and to be representative lines
they should not be " enhanced;" (2), lines of like Rowland
intensities only should be used ; ( 3 ) , lines of the same region
of the spectrum only should be utilized since we are enabled
to see into the sun to greater depths in the violet than in the
red, this being due to the scattering of light. These condi-
tions will limit very materially the choice of available lines.
Spectroscopic observations are ordinarily made at both
ends of a solar diameter, the differential measures giving
twice the value of the displacement. In order to eliminate
any local effect at the limb due to the near presence of spots,
faculae or filaments, it would be well to compare wave-
lengths at the sun's edge with those at the center. The in-
vestigations of St. John 1 show that the wave-lengths of lines
at the center of the sun are " constant to a surprising degree
of accuracy." Newall recommends the method developed
at Cambridge, of making the measures of displacements be-
tween east and west points on fixed chords, parallel to and
equadistant from the projected axis of solar rotation, the
east and west points being chosen in the same heliographic
latitude, in either northern or southern hemisphere. This
method is essentially one of comparing the law of solar
rotation with the simple law of uniform rotation of a solid
body. The method has some advantages over that ordi-
narily in use, and some disadvantages. The peculiarity of
this method is that the spectra are taken on the bright parts
of the sun's surface and not near the fainter limb. The
work of De Lury has shown that wave-lengths determined
at the limb are subject to slight uncertainties due to the
superposition of the sky spectrum. If the photographs are
taken through thin haze, the wave-lengths may be displaced
by amounts depending on the strength of the solar lines
investigated.
The discussions by Newall 2 and by Halm 3 of these spec-
troscopic observations have led to interesting conclusions.
The method usually followed by spectroscopists is to secure
1 Mt. Wilson Contributions, No. 223, 1922. 3 Ibid., 82. 479, 1922.
- Monthly Notices, R. A, S., 82, 101, 1921.
HEIGHTS AND RELATED PROBLEMS 323
observations on as many days, at as many different solar
latitudes as possible. When sufficient material is obtained,
the velocities in the line of sight being found, they are then
subjected to a discussion by least squares in order to deter-
mine the best possible values of the constants a and b in
Faye's formula above. The different values of a, the velocity
at the equator, obtained from various series of observations
are listed in the table.
It might be said, in passing, that if ever in the history
of spectroscopic work positive and conclusive results were
promised by any piece of astronomical research, the chances
were very great that such results could be positively assured
beforehand by the investigation on the rotation of the sun
by spectroscopic methods.
In the series investigated by the different observatories,
various spectral lines and regions of wave-lengths were em-
ployed. In spite of the possible sources of error to which the
measures were subject, it would seem, if more than a dozen
or fifteen lines were measured in a certain series, that any
local peculiarities of a single line should be certainly aver-
aged out. From the nature of the problem, it seemed alto-
gether probable that lines of approximately the same aver-
age Rowland intensity would necessarily be chosen by the
different observers. Hence it might well have been expected
that simultaneous observations of the sun made from differ-
ent observatories would thoroughly agree in furnishing the
same value of the solar rotation. How ideas have been
changed in the past two decades regarding the constancy
of wave-lengths! In comparing the longer series of ob-
servations, we have the results tabulated below, where
are given all of the observations secured since the year
1906 as listed by Halm in Monthly Notices. In addition
to the individual series secured at Edinburgh, Mt. Wilson
and Ottawa, there is given the mean of all the values secured
between the years 1901 and 1913, and also the results for
the hydrogen line, Ha, obtained at Mt. Wilson. The veloci-
ties are given in kilometers per second for every five degrees
of heliographic latitude.
The following facts should be noted regarding the quanti-
ECLIPSES OF THE SUN
ties in the table: ( i ), the values derived at Edinburgh agree
perfectly with those taken almost simultaneously at Mt.
Wilson; for among the seventeen separate linear velocities,
only two differ as much as 0.02 km per second, showing a re-
markable accord; (2), the three series at Ottawa are very
consistent throughout all latitudes; (3), the three Mt. Wil-
son series found in the third, fourth and fifth columns agree
LINEAR VELOCITIES OF ROTATION OF THK SUN
Hclio-
graphic
IQ06 S
iqo6 4
1907 o
1008 s
IQTT S
iyi2 s
101 * S
TQOI-I \
1 008 S
Lati-
Ed
Mt VV
Mt W
Mt \V
Ott
Ott
Ott
Moan
Ha
tude
0°
2 03
2 °5
2 07
2 00
2 01
2 00
98
2 04
II
5
2 02
2 03
2 04
2 04
98
98
9<>
2 02
09
10
I 98
T QQ
2 OO
2 OO
05
05
93
99
05
*5
1 Q2
I Q4
I Q4
i Q4
89
89
88
93
OO
20
I 80
I 87
r 80
j 80
82
83
82
80
9?
25
I 78
t 78
i 77
i 70
74
75
74
77
83
30
t 09
i 08
i 00
i <>5
04
04
02
00
73
35
i 53
i 57
* 54
i 54
53
5-'
50
54
i Oi
40
i 44
i 43
T 41
i 40
40
r 39
37
42
1 ^0
45
I 30
1 29
' 27
' ~77
20
i 24
•M
i 28
T 37
50
i 16
i is
1 U
I I 2
1 1
I 1O
09
>4
I 22
5S
r 02
I Ol
0 C)Q
o 97
o 90
o 05
o 9S
o 90
1 08
60
o 88
o 87
o 85
o 81
o 8[
0 79
o 80
o 84
o 9$
^5
o 73
o 73
o 71
o 07
0 O/
O 0*
o 65
o 70
o 78
70
o 60
o 59
O 0
o 53
c 52
o 48
o 50
o 55
o 03
75
o 45
o 45
o 43
o 39
o >S
° 35
o 37
o 41
o 48
80
o 30
o 30
o 28
O 20
o 24
O 22
o 24
o 27
o 34
perfectly among themselves between latitudes o° and 45°,
but show a progressive diminution of velocities at all latitudes
poleward of 45° ; (4), the Mt. Wilson //a values are greater
in amount than the Mt. Wilson results on the reversing layer
for the year 19064, by an amount which is approximately
constant and equal to 0.06 km per second ; ( 5 ) , the //a values
exceed the velocities of the three Ottawa series by a constant
which amounts to o.n km per second; (6), the time of ob-
servations given in the Edinburgh and in the first Mt. Wil-
son column (1906.4) agrees fairly closely with sun-spot
maximum, while the mean of the three Ottawa series differs
little from sun-spot minimum.
On account of the, splendid accord between the observa-
HEIGHTS AND RELATED PROBLEMS 325
tions, we seem almost forced to conclude that the rotational
velocity of the sun can be determined spectroscopically with
great exactitude. The results tabulated above seem to
prove most emphatically that at spot maximum the revers-
ing layer revolves with a speed that is greater than the
average, while at minimum of spots the rotational velocity
is less than the average. This is the conclusion independ-
ently reached by Newall and by Halm.
A decade ago, at the 1922 meeting of the International
Astronomical Union, the experts were forced to the con-
clusion that, although there is such a beautiful accord be-
tween the measures listed in the above table, it may not be
impossible that some of the observations may have been
affected by errors, either accidental or systematic in nature,
and that in consequence, the difference in rotational values
at maximum and minimum of spots may be illusory and not
real. For the reasons already stated, systematic errors due
to different spectral lines investigated may readily find
place in any series of measurements, and the only conclusion
to draw from the large differences between Mt. Wilson and
Ottawa is that one or both of these series of measurements
are unquestionably affected by systematic errors. In fact,
investigations made at Mt. Wilson, in which simultaneous
observations are made upon the two limbs and the center
of the sun, indicate that temporary and local conditions fre-
quently exist in the reversing layer which produce differ-
ences of as much as ten per cent in the rotation values
obtained by comparing east and west limbs directly. Such
results make it obvious that misleading values may be actu-
ally derived from a short series of observations; in fact it
may be well to ask, along with the Chairman of the Com-
mittee on Solar Rotation of the International Astronomical
Union, " whether the solar rotation can be determined as
definitely as has been thought."
One obvious method of testing whether systematic errors
affect the observational values and whether the rotation of
the sun is different at sun-spot maximum from that at mini-
mum is for one observatory with fine equipment to keep at
the problem for a long stretch of years, taking great care to
ECLIPSES OF THE SUN
keep both methods and observers as constant as possible.
Hence as early as 1914, a program of observations was inau-
gurated at Mt. Wilson Observatory by St. John and Miss
Ware. Subsequent to the values given in the table above, are
the following linear equatorial velocities ' at the sun's equa-
tor in units of kms per second :
IQl6 igly 1918 1919 1920 1921 1922 192^ 1()24 T92cS
i 91 I 94 1.95 i 90 I 90 i 91 i 91 i 89 i 91 i 89
More recently, St. John2 obtained values in 1929 and 1930.
That in the latter year, amounting to 1.95, agreed in size with
those of 1917 and 1918. Still more recently, Evershed* ob-
tained the value 2.02 in 1931. It should be added, however,
that Evershed made no distinction between high- and low-
level lines and it is possible there may be a systematic error
between his results and St. John's.
Following the method of Adams, measures of rotation
have been made on the high-level //a of the chromosphere.
At Mt. Wilson in 1907, the value was 2.11 km per sec., in
1919 this had changed to 2.00. However, in 1918, Ever-
shed 's results gave 2.07 km per sec. while at Arcetri in 1929
the value 2.07 was also obtained. Again we are faced with
the conclusion that variations in instrumental equipment
might readily permit different levels to be measured at two
observatories with consequent systematic differences in
velocities. The simplest method of explaining the large
differences in the Mt. Wilson values is to assume that the
measures of the bright line of Hex, in the two years were un-
consciously referred to layers at different heights.
With the splendid equipment at Kodaikanal, measures
have been carried out on the dark Ha line of the Fraunhofer
spectrum. The observations in the years 1918-22 were con-
sistent and numerous and a value for the linear velocity at
the equator was 2.03 km per sec. In the years 1923-29 the
observations were not so numerous and they yielded a slightly
increased value of 2.05. The weighted Kodaikanal value for
the whole period 1918-29 is 2.03 km per sec. During the
1 Mt. Wilson Obsy., Annual Report of Director, 127, 1928.
2 International Research Council, Third Report, 121,
3 Monthly Notices, R. A. S., 92, 105, 1931.
HEIGHTS AND RELATED PROBLEMS 327
same interval at Mt. Wilson the value from different lines
was quite constant at 1.90 km per sec. On account of the
higher level at which the Ha line has its origin, the results of
the two great observatories are quite consistent in showing
during a fifteen-year period, 1914-28, a solar rotation that
appears to be nearly constant.
In the latest annual report (1931) of the director of the
Mt. Wilson Observatory, the intricate problem of solar
rotation is carefully summed up in the following words:
" It has become increasingly evident that the rotation of
the sun as determined from observations of the reversing
layer is not constant. Observations by Halm at Edinburgh
and Adams at Mt. Wilson gave a velocity of 2.07 km per
sec. and a minimum period of 24.75 days for 1905.5, while
a smaller velocity was indicated by observations at Ottawa,
Allegheny and Kodaikanal for the epoch of 1912, For the
years 1919-29, the linear velocity averaged 1.90 km per sec.,
and the period two days longer than in 1905.5. Since 1928
the linear velocity has slowly increased, while the period
has decreased by 0.6 day. On the other hand, the velocity
derived from long-lived spots has remained practically con-
stant at 2. 02 km per sec. for the last thirty years. The
lower reversing layer is 200 to 500 km above the photosphere
(level of spots). In 1905.5 its linear velocity was 0.06 km
per sec. greater than that of the photosphere, and in 1918,
o.io km per sec. less, thus indicating a streaming of the
lower reversing layer relative to the photosphere from east
to west during the spot cycle 1901-12, and from west to east
during the following cycle. If connected with the direction
of whirl in the spot-forming vortex, this systematic differ-
ence would indicate a counter-clockwise rotation of the vor-
tex in the northern hemisphere during the cycle 1901-13
and a clockwise rotation during the following cycle. For
the cycle beginning in 1923, the linear velocity of the re-
versing layer might have been expected to increase, and
apparently it has increased ; but whether it will continue to
do so remains to be determined. A correlation between
linear velocity of the reversing layer and direction of
whirl in the spot-forming vortex would be of great inter-
328 ECLIPSES OF THE SUN
est in its bearing on the sign of the charge in the spot
vortex."
A summary l is given for other solar phenomena observed
for the rotation of the sun. The number of degrees per day
at or near the sun's equator shown from observations are:
sun-spots, 14.39; faculae, 14.49; calcium dark filaments,
14.45; reversing layer, 14.27; Ha (dark marking) 14.40;
Ha (chromosphere, Adams), 15.00; K (prominences) 17.1.
To find how the rotation periods change at different helio-
graphic latitudes, one should also consult Abetti, Handbuch
der Astrophysik, 4, 158, 1929.
During the early years of the work at Mt. Wilson, the
HOL line had shown such different rotational values from the
other lines that it seemed advisable to extend the investi-
gation to other solar phenomena. What values would be
given by flocculi? To photograph in the red required special
plates sensitive to this region. When the flocculi plates were
taken, the results were a great surprise to Hale and Adams,
for it was evident at a glance that the hydrogen flocculi dif-
fered from those taken by means of the H- line of calcium
in several remarkable features."' The photographs of hydro-
gen flocculi already secured showed that they did not share
the same retardation in rotation assumed by spots, faculae
and calcium flocculi. But the striking differences between
the details of the photographs of flocculi in the HOL light of
hydrogen and in the H^ line of calcium, when examined side
by side, showed that whereas most of the calcium flocculi are
bright, those due to hydrogen are dark. Further differences
were exhibited by the accentuated definiteness of structure
of the hydrogen photographs which show details much
smaller in size and with greater distinctness. The details
brought forth by the Ha line were more marked than those
obtained by the other hydrogen lines //(3, //y and 7/5, the
reason for the difference being caused by the greater strength
of the Ha line in chromosphere and prominces and the
greater heights attained. A most unusual series of photo-
graphs was secured by Hale on June 3, 1908, showing a dark
1 Kodaikanal Bulletin, No, 113, 1931.
2 Mt. Wihon Contributions, No. 26, 1908.
HEIGHTS AND RELATED PROBLEMS 329
hydrogen flocculus which was actually seen drawn into a
sun-spot vortex, the remarkable change taking place within
the brief space of time of ten minutes. The day previous,
the location of the flocculus was evident from local whirls.
On the day following the disappearance of the mass of cool
hydrogen into the spot, photographs were secured showing
eruptions in the neighborhood of the spot due to bright and
hot hydrogen gas. Apparently, therefore, a sun-spot is a
vortex somewhat resembling a terrestrial cyclone. Rela-
tively cool matter in the gaseous form, floating high above
the solar surface, is sucked into the vortex with a whirling
motion. After sinking into the interior of the sun, the cool
gas is heated, and later in the heated state makes its re-
appearance outside of the limits of the spot, but in its imme-
diate neighborhood. Meanwhile, the researches of J. J.
Thomson and others had shown that electrified particles,
both positively and negatively charged, must occur in vast
numbers in a hot gaseous body like the sun. If there is a
preponderance of positive or negative charges, their rapid
rotation must give rise to a magnetic field. In other words,
a sun-spot by its vortex motion appears to create its own
magnetic field.
The most promising method of attack appeared to be the
Zeeman effect. When a luminous vapor is subjected to
a magnetic field by being placed between the poles of a
powerful magnet, an effect is produced on the lines of the
spectrum. If the radiation is observed along the lines of
force, the spectrum lines appear in most cases as doublets,
having components circularly polarized in opposite direc-
tions. It was found that different lines of the same element
are affected to a different degree, and that the distance be-
tween the components of a given doublet is directly propor-
tional to the strength of the field. In a field of moderate
strength the distance between the two components of a
doublet may not result in complete separation, the lines be-
ing merely widened, while in other lines, which are excep-
tionally sensitive, the separation may be complete. As early
as 1892, Young with the Princeton refractor, and later
W. M. Mitchell, observed lines due to iron in the sun existing
330 ECLIPSES OF THE SUN
as single lines in the spectra of the photosphere but double
in spot spectra.
If, therefore, the observers at Mt. Wilson were to en-
deavor to find a magnetic field in sun-spots, the line of at-
tack was clearly outlined. First of all, there was necessary
a large image of the sun, possible only by^the use of a tele-
scope of great focal length so that the surface of the sun
could be examined in regions surrounding the spot. The
solar light must then be examined by a spectrograph of such
great power that the separation of the doublets showing the
Zeeman effect might be as great as possible. To interpret
the measures of the solar photographs, investigations in the
laboratory unquestionably would be necessary. Fortunately
for the development of astronomical research, the resources
of the Carnegie Institution were ample to provide, on the top
of Mt. Wilson, the 6o-foot and the iso-foot tower telescopes
with powerful spectrographs attached, and to equip in Pasa-
dena a physical laboratory with the necessary forms of re-
fined apparatus and Male's spectrohelioscope. As the result
of twenty-five years of investigation, the scientific informa-
tion garnered regarding spots and the general magnetic field
of the sun has been very startling and most important.
Observations are secured in the second order spectrum of
the 75-foot spectograph attached to the iso-foot tower tele-
scope. In front of the slit of the spectograph1 is placed a
Nicol prism in combination with a " quarter-wave plate "
built up of mica strips 2 mm wide, mounted so that the prin-
cipal sections of successive strips make an angle of 45° with
the slit and 90° with each other. If the long axis of the
Nicol is placed parallel to the slit, the mica strips will alter-
nately extinguish the red and the violet members of a dou-
blet, and the photograph will have a dentated appearance
shown in the illustration facing page 332. It is hardly to be
expected, however, that the extinction of either component
will be complete. A partial extinction of the red or the vio-
let component has the effect of shifting the maximum of
brightness of the doublet towards the red or the violet of the
average position, depending on whether the red or the violet
1 Hale, Nature, 113, 105, 1924.
HEIGHTS AND RELATED PROBLEMS 331
component is the stronger. When the two components are
not entirely separated, the lack of uniformity in the lines
causes a displacement which depends on the relative strength
of the two components. This unsymmetrical character of
the lines renders the accurate measurement of the displace-
ments one of the very greatest difficulty. In fact, even with
the great scale of the Mt. Wilson photographs, reliable
measures are possible only on a comparatively small num-
ber of lines.
The best line for the investigation of sun-spots is one in
the red at 6173.553 A. This line is split into three compo-
nents, the two outer ones being elliptically polarized in oppo-
site directions, the inner component plane polarized. If the
red component of the line is transmitted by the compound
quarter-wave plate and the violet component extinguished,
then the polarity of the spot is N, north-seeking or positive;
while if the violet component is seen the polarity is S or
negative. Since the distance between the components is
proportional to the strength of the magnetic field, the direct
measurement of a photograph by means of a micrometer
readily furnishes the field-strength. In addition, the angle
between the magnetic lines of force and the solar surface
can be determined in all parts of a spot.
Ever since the time of Galileo it has been noticed that
spots have a tendency to appear in pairs. In fact, the ob-
servations at Mt. Wilson show only that in ten per cent of all
cases are the spots single or unipolar in appearance. Sixty
per cent of spot groups are distinctly bipolar, while the bal-
ance of thirty per cent show a tendency towards the bi-
polar type, exhibiting calcium or hydrogen flocculi following
or preceding a single spot. In many bipolar groups, one of
the members, usually the preceding or western spot, is much
larger than the other. In nearly all cases it has been found
that the eastern member of a spot pair differs in polarity
from the western member. When the group is formed of a
number of spots small in size but without any dominant
members, then the groups of spots at opposite ends of the
stream are usually opposite in polarity.
According to the opinion of Hale, a spot is a vortex in
332 ECLIPSES OF THE SUN
which the solar gases are expanded , and consequently cooled,
by centrifugal action. If this cooling is sufficient, the gases
appear darker over the vortex because of their decreased
radiation and increased absorption at reduced temperatures.
In the cooler regions, chemical compounds are formed, such
as titanium oxide and certain hydrides, and their pr^ence
is recognized by the existence of characteristic bands in sun-
spot spectra. It is quite possible, however, that the cooling
may not have advanced sufficiently far for the spot to become
visible as a darkened area on the surface of the sun, but
nonetheless it has been found that the magnetic effects per-
sist even after the spot ceases to be visible and also appear
before the darkening of the spot becomes sufficiently great
to bring it into view. Thus have been discovered " invisible
spots/' with the result that the life history of a spot is in-
creased by lengthening out the times of observation both
before and after the spot becomes visible to the eye.
Ever since the beginning of the work at Mt. Wilson in the
year 1908, many thousands of spots have been observed with
great care. It has been found that all spots, independent of
size, contain magnetic fields, but that the field-strengths up
to a certain maximum increase with the diameter of the spot.
Since the spots show themselves to be gigantic vortices, a
natural question to ask is whether the directions of the
whirls follow a law similar to cyclones and tornadoes on our
earth which move in directions contra-clockwise in the north-
ern hemisphere but right-handed in the southern hemisphere.
Little is known regarding the sign of the charge dominant in
sun-spots, but if it is assumed that these charges are the
same in all solar vortices then the observed polarities will
give the directions of the whirls. It has been found that
preceding spots in the northern and southern hemispheres of
the sun exhibit opposite polarities and consequently opposite
directions of whirl.
What is the law underlying the magnetic changes in sun-
spots? From the time of the inception of the work at Mt.
Wilson in June, 1908, to the minimum of spots in December,
1912, there were a total of twenty-six groups observed. In
seven of these groups that appeared in the northern hemi-
?lf;^^^^fepll^
'i '" --'''•" v.'n' ' ., ; j- ny-to'*?1** nH -V Vw= ^i i; ' -\J'""' "' '\t~' ~ "-' ''••>'{-- '• •- , "f fl"
rlr --^^^V'*^:? '^ -; $& »#':_&,^ ^:;;>j?'_ ;J '
^- '
ZEEMAN EFFECT IN SUN-SPOTS
a, 6, ^ Photographic observations of a multipolar sun-spot group on August 8,
1917 at Mt. Wilson Observatory; b and c photographed with Nicol and quarter-
wave plate show the Zeeman effect with the iron triplet 6173 A. d An en-
larged direct photograph of the same spot group on August 8, 1917 with the
6o-foot tower telescope. (The black disk in corner shows the size of the Earth.)
s
2
i
o
£
a *
£ a
si
^ 31
-
IS
in +j
2
5
£
HEIGHTS AND RELATED PROBLEMS 333
sphere, the polarity of the preceding member of the pair,
characterized by the violet member of the 6 1 73-line, was
south-seeking or negative, and that of the following spot
was north-seeking or positive. In the southern hemisphere,
for seventeen groups the polarities were the reverse of those
in northern latitudes, N or positive for the preceding mem-
ber, and S or negative for the following member of the pair.
Two southern spots out of the total of twenty-six observed
showed opposite polarities to those expected, thereby fur-
nishing exceptions to the rule.
The spots which were observed were the dying members
of the spot cycle and had an average latitude of 9°. Would
N40i
30
10
u,
o
D
>- 0
3,0
zo
$40
FIG. 7 Sun-Spot Polarities observed at Mt. Wilson between 1908 and 1925.
The curves represent the change in latitudes of the spots; the preceding
spot is shown on the right.
the spots appearing in the new cycle, in high northern and
southern latitudes continue the same persistence of polarities
that the spots had already exhibited? There appeared no
reason for a change, but when the observations were obtained
they furnished a great surprise in showing a complete re-
versal of polarities from those observed in the previous
cycle.
During the eleven-year period which closed in 1923 more
than two thousand spot groups were observed at Mt. Wilson.
Unipolar and bipolar groups, with only four per cent of ex-
ceptions, continued to have the polarities reversed from that
of the preceding cycle and showed south-seeking or negative
polarities in the northern hemisphere, and north-seeking or
334
ECLIPSES OF THE SUN
positive polarities for the preceding spots of the southern
hemisphere.
Observations after the spot minimum in 1923 were anx-
iously awaited to know whether a reversal would again take
place with a resumption of polarities that had been the rule
in the second preceding cycle. The answer was a very con-
clusive one, the reversal which was now expected had actu-
ally taken place.
The law of sun-spot polarities is expressed in the two
appended figures. At sun-spot minimum the new cycle origi-
nates in high northern and southern heliographic latitudes.
FIG. 8 Sun-Spot Polarities at Minimum of Solar Activity.
Two zones in each hemisphere, in which the ^pots
arc of opposite magnetic polarity, exist for about two
years near spot minimum.
As the cycle progresses towards maximum of spots they draw
closer to the sun's equator but the polarity remains always
the same. The high-latitude spots of each cycle have op-
posite polarities from those of the preceding cycle. A strange
condition appears near minimum of spots. In the northern
(or southern) hemisphere two groups of spots differing a few
degrees in latitude may exhibit opposite polarities, one po-
larity due to a spot in the waning cycle, the other taking its
sign from the cycle just beginning. Since the directions of the
whirls of the hydrogen flocculi are not reversed, but, on the
contrary, there is a change in the sign of polarity at each spot
HEIGHTS AND RELATED PROBLEMS 335
minimum, it is evident that the magnetic period of spots is
22 years, or twice the n-year period on which the numbers
of spots depend.
It is evident that the general magnetic field of the sun
must be much weaker than that exhibited in sun-spots on
account of the fact that the sun as a whole rotates much
more slowly than the vortex whirlpools of the spots. More-
over, in attempting to secure the magnetic field of the sun as
free as possible from any local effect of sun-spots, it is obvi-
ously necessary to obtain photographs when the sun is en-
tirely free from active spots. Several series of photographs
taken under satisfactory conditions have been secured. The
difficulty of measuring these photographs, and of securing
these measures free from personal and systematic errors, is
patent to anyone who has ever engaged in any astronomical
measurements requiring the setting on two close components
of a double. Moreover, the size of the quantity to be meas-
ured is only o.ooi A. As a matter of fact, van Maanen was
the only one of the five Mt. Wilson measurers that engaged
in the work whose results had a satisfactory degree of con-
sistency. On account of the difficulties in measuring, lines
having an intensity greater than 5 in the solar spectrum and
weaker than o had to be excluded.
The general summary of the results seems to prove con-
clusively that a general magnetic field exists in the sun, and
that in consequence the sun behaves approximately as a
uniformly magnetized sphere, with the magnetic axis only
slightly inclined to the solar axis of rotation, and with a
polarity corresponding to that of the earth. Forty-six spec-
tral lines were investigated, and of these, 30 lines due to ¥e,
Cr, Ni, V and Ti show displacements. The strength of the
magnetic field determined for each line showed a correlation
between field-strength and line intensity, the stronger fields
being connected with lines of smallest intensity. Eclipse spec-
tra reveal the information that the weakest solar lines origi-
nate at the lowest depths. Since it was possible to measure,
for the determination of the strength of field, lines of a solar
intensity 5 or less, it is manifest that lines only in a very shal-
low layer, less than 450 km in depth, can show the influence of
336 ECLIPSES OF THE SUN
the sun's magnetic field large enough to be detected by the
present method of attack. The period of rotation of the
sun's magnetic axis was found to be 31.52 days. No explana-
tion can be given for this peculiar value of rotation which
differs in such marked degree from the equatorial value de-
rived from sun-spots. In fact, no adequate explanation is
yet forthcoming to explain the cause of the sun's magnetism.
It is now generally conceded by all scientists that the sun
is continually sending off a vast stream of negatively charged
particles, or electrons. It is also generally conceded that
the presence of spots on the sun is evidence of great solar
activity. If the spot is large, and the activity consequently
great, the streams of electrons directed toward the earth
may reach our upper atmosphere in vast numbers. In the
rarefied conditions that must exist in the upper atmosphere,
the air becomes ionized. This ionization causes the electro-
magnetic display known as northern lights, or aurora bore-
alis. As a result of the electrification of the atmosphere,
currents are induced in the earth, which may at times be so
strong as to seriously interfere with the sending of messages
over the telegraph lines or submarine cables. As a further
manifestation of the currents flowing through the earth, the
navigator's compass may be affected with the result that the
north end of the needle may point several degrees from
the magnetic north. This leads to a so-called " magnetic
storm." The display of a brilliant aurora is very frequently
accompanied (and caused) by a spot central on the face of the
sun. On May 13, 1921, the spots near the sun's center
caused an unusually gorgeous display of aurora visible prac-
tically all round the world. The telegraph lines were seri-
ously hampered in the sending of messages. While the
aurora was at its height, one of the Atlantic cables connect-
ing Europe and America was burnt out. Whether this was
caused by the earth's currents, or was but a strange coinci-
dence, has never been fully determined.
Theoretically, sun-spots should possess an electric as well
as a magnetic field. Although observations have been made
at Mt. Wilson and elsewhere, no conclusive evidences of a
Stark effect have been recorded.
HEIGHTS AND RELATED PROBLEMS 337
In an important paper presented * at the National Acad-
emy of Sciences, Adams and Nicholson discuss The Nature
of the Solar Cycle in the following manner. " The eleven-
year period may vary between nine and fourteen years and
the amplitude of the cycle by about 50 per cent of its average
value. Period and amplitude are apparently unrelated. It
seems probable that both the quantity and quality of solar
radiation vary during this cycle and many attempts have
been made to correlate terrestrial phenomena with sun-spots.
Definite correlations have been found with the variations in
terrestrial magnetism and its related phenomena. There is
evidence of a slight correlation between sun-spots and atmos-
pheric temperature in certain regions on the earth and with
other factors of weather and climate for limited regions and
for limited time intervals. These correlations are so uncer-
tain that, in the majority of cases at least, predictions on
them have very little weight."
1 Science, 75, 594, 1932.
CHAPTER XIX
HEIGHTS AND DISTRIBUTIONS OF VAPORS
NEW information gleaned in the past decade about the
structure of the atom has revolutionized the method
of attacking solar problems. Practically all of the
prominent lines in the spectrum of the sun have been assigned
to multiplets with known excitation potentials, the arbitrary
intensity scale of Rowland has been submitted to calibration
tests which have revealed that the intensities depend on the
number of atoms engaged in the formation of the spectral
lines. From the weakest lines perceptible in the solar spec-
trum of intensity - 3 ( or oooo ) to the strongest Fc lines at
wave-length 3720 and 3735 of intensity 40, the number of
atoms involved increases about one million times.
A person having no knowledge of the theory underlying
multiplet groups would not advance very far in the practical
operation of correlating heights in the chromosphere with in-
tensities either in sun or chromosphere before the fact would
be forced upon his attention that generally the lines of great-
est intensity reach the greatest heights, and moreover the in-
tensities and heights for any element are greatest for the
multiplets of lowest excitation potential. The best element
for a study of the explanation of these correlations is unques-
tionably neutral Fe. This element has been assiduously ob-
served in the laboratory and very exact wave-lengths are
known. Fe is very rich in lines which have been grouped into
multiplets with a wide range of excitation potentials. Some
of the more important results from the detailed study x of this
element are given herewith. The lowest atomic level of neu-
tral Fe is the aGD level with average excitation potential of
0.07 volts, the next lowest level is a~'F, with excitation poten-
tial of 0.92 volts. The table gives the average heights in the
1 Publ. Leander McCormick Ob\y.f 5, 114; Astroph. Jour., 72, 146, 1930.
338
HEIGHTS AND DISTRIBUTIONS OF VAPORS 339
chromosphere attained by lines of different Rowland inten-
sities, with the whole material arranged according to in-
creasing excitation potentials. A total of 789 lines is
involved.
EXCITATION POTENTIALS, ROWLAND INTENSITIES AND HEIGHTS*
Excitation Potent a
20 jo
12-15
TO
7-Q
6
5
4
,
2
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17
467
17
419
27
403
16
8
2 50-2 99
/ 500
1 i
i 5
537
493
479
38
433
412
24
329
12
300
2
300-3.49
/ 542
I 0
450
9
447
18
440
21
425
26
3<H
21
325
6
300
I
3.50-3.99
i "I
400
4
421
7
373
387
15
375
H
350
5
3OO
2
4 00-4 49 ...
/ 4°°
1 i
400
2
4^5
10
390
10
372
339
32
321
17
250
7
450-499
/ 4°O
I 4
383
ft
400
ft
394
9
333
3
300
2
* The upper quantity give* the height in kilometers, the lower gives the number of spectral linea involved
The following facts should be noted: (i) The strongest
lines of neutral Fe in the sun belong to multiplets of lowest
excitation potential 0.07 volts. (2 ) With increase of excita-
tion potential, the maximum intensity of the lines in the mul-
tiplets steadily decreases. ( 3 ) For multiplets of any given
excitation potential, there is a close correlation between in-
tensities and heights. (4) For any given Rowland intensity,
such as 6, the heights diminish (vertically in the column) as
the excitation potentials are increased. To know the height
corresponding to a line of intensity 6, the value of the excita-
tion potential is necessary.
If the material from the flash spectrum on neutral Fe is
divided at wave-length 4900 A into two groups, we have the
340
ECLIPSES OF THE SUN
information in the following table. The first two horizontal
lines of the table give the average heights and average ex-
citation potential of the lines to the violet of 4900 A ar-
ranged according to their Rowland intensities. The next
two lines give similar data from the lines to the red of
4900 A; and next comes the average for all lines of all wave-
lengths. The two last lines in the table give the radial mo-
tion in the penumbra of sun-spots called the Evershed effect,
measured by St. John at Mt. Wilson, the first line giving the
value in angstroms and the second line in kilometers per
second.
ROWLAND INTKNSITFKS, HKIGHTS, AND EXCITATION POTENTIALS
0
I
2
3
4
5
0
7
8
9
/ 3>I
372
WO
^02
409
SOI
570
Oo >>
720
(»8i
9
i 2 20
2 95
I oi
2 70
2.02
2 54
2 29
2 2J
i 82
r 90
I
1 287
ioS
iio
i02
40S
40 s
150
5'4
S^S
Ooo
ft
I 3 bo
3 44
304
3-13
i U
3 10
2 57
2 OS
I 82
2 }2
2
I 290
Hg,
30 1
122
150
uo
SS2
570
08 1
917
H
\ 3 H
3-23
* *5
2 90
290
2 77
2 39
2 ^0
i 82
198
r
030
028
.025
025
.021
.019
oiO
013
OIO
.005
(
\20
1.7
i 5
I 4
I 2
i.i
I 0
08
oO
03
o
971
T SO
OO2
O 1
IS 18
.001
O 1
20-40
75
OOO
o o
Early in the year 1909, Evershed announced a remarkable
discovery of far-reaching importance in his observations of
the displacement of Fraunhof er lines in the penumbra of sun-
spots. With the slit of his spectograph placed across the
spot, he found that the wave-lengths of lines in the penumbra
of the spots were different from the values at the center of the
sun. The displacements, which affected practically all of the
lines of the reversing layer, were not constant but differed in
amount depending on the intensity of the lines investigated.
The shift was greater for the weaker lines of the spectrum
than it was for the stronger lines. Evershed advanced the
hypothesis that the observed displacements are the result of
the Doppler effect, and that in consequence, the gases of the
reversing layer are in radial motion tangential to the solar
surface.1
1 Kodiakanal Observatory Bulletin, No, XV: Kodiakanal Observatory Memoirs.
r, Pt. i.
w
5
0
.
Q
a
HEIGHTS AND DISTKIHTTIONS OF VAPORS 341
Following the announcement of this important discovery,
St. John began an extended series of investigations into the
subject, the results of the observations being published in the
Contributions from the Mount Wilson Observatory, Nos. 69,
74, 88, 348 and 390. The observations were carried out with
the 6o-foot tower telescope, with the image of the sun 170
mm in diameter, the penumbra of the spots investigated aver-
aging 3.0 mm in diameter. The plates in the violet and green
were taken in the third order spectrum, and those in the yel-
low and red in the second order. For the two cases, the dis-
persion was i mm = 0.56 A and i mm = 0.86 A, respectively.
Measures were carried out on 506 lines, some of the lines be-
ing measured on no less than thirty plates.
The Mt. Wilson measurements, so carefully made by Miss
Ware, abundantly verified Evershed's conclusions that the
displacements are caused by movements of the solar vapors
tangential to the solar surface and radial to the axis of the
spot. These motions are none other than the actual flow of
the material of the reversing layer out of the spots and of
the matter forming the chromosphere into the spot vortex.
The layers closest to the sun's surface have a motion of
translation out of the spot at the rate of two kilometers per
second, and this motion becomes less and less at greater and
greater elevations until, at a height of about two thousand
kilometers, the motion outward of gases from the sun-spot
ceases. What happens to the vapors above this level? The
information furnished by the investigations of St. John is very
definite and apparently admits of no contradiction. From
measurements on several elements, it was found that above
this level of inversion, the gases of the chromosphere take a
motion carrying them in to the spot. As greater and greater
elevations are reached these movements increase in amount.
At the maximum heights reached by lines of the chromo-
sphere, which are attained only by the H and K lines of the
element Ca, there is a movement of the calcium vapor into
the spot at a speed of 3.8 km per second corresponding to a
displacement measured by St. John of -0.063 angstroms.
In the following table there is collected the available in-
342
ECLIPSES OF THE SUN
formation from the measures of heights derived from the
lines in the flash spectrum and of displacements due to the
Evershed effect from 506 lines in the penumbra of sun-spots.
The + symbol affixed to an element, as Ca +, signifies that
the line in the spectrum is enhanced and that it takes its origin
from the ionized atom. The conclusions of St. John (loc.
cit.} are, " In the observation of these velocities we have a
methol of sounding the solar atmosphere and of allocating
the relative levels of the lines."
MOTIONS OF SOLAR GASKS AT VARIOUS LKVELS
Currents measured in Kms/sec
Heights in Kms
from Flash Spectra
Element
Spots
Disk
14,000
Ca+ (II and K)
3 8 inwards
o 5 downwards
I2,OOO
Ha
30
8,500
77/3, 77*, 77f
8,OOO
777, 776
i i
7,500
He
7,000
M*
o 7 '
6,000
77+,Sr+,kVr+
o 5
5,000
Ca (4^27)
O 2 *
2,000
Al (15-20)
O O
i ,500
Fe (15-40)
o i outwards
o 3 downwards
1,000
Fe do)
0 2
600
Fe (8), TV, Sc, V
o 6
O 0
400
Fe (4), 0, Sr, V
I 2
350
Fe (2), A7, Co, Mn
i 5
300
Fe (i)
i 7
o 3 upwards
275
Fe (oo)
2 O
It is evident, from a glance at the above table, that the
enhanced lines not only extend to greater elevations than
do the unenhanced lines of the same element, but that the
Evershed effect for them is more pronounced as well.
Eclipse spectra, taken in connection with the Evershed
displacements, can shed some light on the problem of sun-
spots, not only regarding the time-honored question of the
heights above the photosphere at which the spots themselves
originate but also regarding the magnificent work of Hale on
spot vortices. After long years of uncertainty regarding the
effective temperature of spots, whether they are hotter or
cooler than the photosphere, we have finally come to the con-
HEIGHTS AND DISTRIBUTIONS OF VAPORS :j*;j
elusion that the spots are relatively cooler. This fact first
became known through the discovery by Fowler of bands in
the red part of the spectrum due to titanium oxide. Bands
and flutings of hydride compounds have likewise been found
in parts of the spectrum other than the red. There seems
only one explanation possible, which is that the compounds
can exist only at the cooler temperature of the spots, and that
at the higher temperatures of the photosphere the com-
pounds are dissociated and their bands cease to show. All of
the researches concerning spots confirm this view of cooler
temperatures, the low-temperature furnace lines being
strengthened and the high temperature enhanced lines being
weakened in spots.
If we are to accept the explanation of the Evershed dis-
placements that they are a Doppler effect which differs for
lines of various solar intensities, which in turn depend on the
depths at which these lines originate, then we are forced to
the conclusion that if there are differences in level between
the spots and the photosphere these differences cannot be as
much as fifty kilometers.
The motions in the line of sight of the gases in the penum-
bral regions of sun-spots can be measured with high precision
on account of the great dispersion employed at Mt. Wilson.
When the measures of the Evershed effect from the individual
Fe lines are combined into averages, and the spectral lines are
then arranged in various manners according to Rowland in-
tensities, heights from the flash spectrum, excitation poten-
tials, and spectral regions, conclusive evidence is found that
the size of the Evershed effect does depend primarily on the
heights. On the assumption, now thoroughly well founded,
that a spot is a vortex on the sun, it appears abundantly veri-
fied that the indirect determination of relative heights from
the Evershed effect tell a story consistent with the direct
measurement of heights from the flash spectrum.
By referring to the above table, these interesting facts are
observed : ( i ) To get the same average height in the red as
to the violet of 4900 A, it is necessary to add two units of in-
tensity to the right in the table, or 2 units of greater strength
in the red. ( 2 ) In quite similar fashion, to reach the same ex-
ECLIPSES OF THE SUN
citation potential in the red as in the violet, it is necessary to
go to lines of 2 Rowland units of greater intensity in red than
in violet. In addition (3) St. John has found that to get the
same measured value of the Evershed effect in the red as in
the violet, it is necessary to go to 2 units of greater intensity
in the red.
From the calibration of Rowland's intensity scale, it was
found that the number of atoms involved in the formation of
a line of Rowland intensity n in the violet is approximately
the same as are engaged in the production of a line of Row-
land intensity n -f 2 in the red. Hence we see that a spectral
line produced by a given number of atoms has the same Ever-
shed effect, the same height in the flash spectrum and the
same average excitation potential throughout the spectrum.
It is evident that there is one underlying cause, and one only,
needed to explain these interesting correlations, namely, the
number of atoms involved. But how has this information so
vitally necessary for explaining many of the problems con-
nected with solar radiation been determined?
After arranging the lines of different spectra in multiple!
groups, it was found by a number of investigators 1 working
independently, and almost simultaneously, that simple for-
mulae give the relative intensities of lines belonging to a given
multiplet. The formulae are based on the correspondence
principle, and give the transition probabilities as a function
of the quantum numbers. These probabilities when multi-
plied by p4, v being the frequency, are proportional to the en-
ergy emitted in the separate lines. Measures show that these
formulae are only approximate, but on the whole they repre-
sent the intensities with fair degree of accuracy. According
to Ornstein,2 the quantities given by the formulae represent
the relative numbers of " fictitious resonators," or the relative
numbers of atoms involved in the production of the lines of
the multiplets.
Let us first see, therefore, how the simple rules provided
by the formulae can represent different arbitrary estimates of
1 Kronig, Zeits. fur Physik, 31, 885, 1925; Sommerfeld and Honl, Sitz. der
Preuss, Akad. der Wiss., p. 141, 1925; Russell, Proc. Nat. A cad. of Sciences, u, 314,
1925.
2 Zeits. fur Physik, 40, 412, 1926.
HEIGHTS AND DISTRIBUTIONS OF VAPORS 345
intensities. Take first the estimates by A. S. King, many
thousands in numbers of the spectra of the lines in the labora-
tory. Russell (loc. cit.) has found that King's scale, which
was intended to represent the actual intensities of the lines, is
a remarkably homogeneous scale. These Mt. Wilson inten-
sities in fact are very nearly proportional to the square roots
of the relative numbers of atoms predicted by the theory of
multiplets. " The agreement is so close that these estimates,
especially when averages for several multiplets are available,
are clearly almost as valuable as actual measures, when once
the significance of the empirical scale has been found."
Another comparison of even greater importance is the cali-
bration of Rowland's scale of intensities for the solar spec-
trum. Russell, Adams and Miss Moore by means of the
intensities of 1288 lines grouped in 288 multiplets have inves-
tigated l Rowland's scale in the solar spectrum. The relative
intensities in multiplets, based on the correspondence princi-
ple, can be assumed to be proportional to the numbers of ac-
tive atoms producing the various lines. These results have
most important consequences.
By the observed contours of a number of typical resonance
lines of different elements, Unsold has determined J the num-
ber of atoms above i sq. cm of the sun's surface which are
concerned in the production of the lines. Although many
theoretical and practical difficulties have still to be sur-
mounted and much more observational work must be accom-
plished on the contours of lines, nevertheless we have as a
result what is perhaps the most important astrophysical pub-
lication in recent years. This comes from the skillful hands
of Russell J entitled " On the Composition of the Sun's At-
mosphere." Unfortunately space will not permit a detailed
discussion to be given here.
One very important result was the derivation of the energy
of binding of an electron in different quantum states by neu-
tral and ionized atoms. These were given for various ele-
ments in tabular form together with tables of ionization po-
tentials. These principles were first applied to enhanced
1 Astrophysical Journal, 68 , i, 1926. :* Astrophysical Journal, 70, u, 1929.
- Zeits. fur Physik, 46, 765, 1928.
346 ECLIPSES OF THE SUN
lines. Russell finds that thirteen elements have their most
persistent lines in the region of the spectrum accessible to
photographic observation. These elements are Bey Ca, Sc,
Ti, V, Sr, Y, Zry Cb, Ba, La, Hf, and Ra; all but the last,
radium, have enhanced lines in the sun. Other important ele-
ments like Cr, Mn, Fe, Co, Ni and Mo have their most persist-
ent lines in the inaccessible region in the sun to the violet of
wave-length 3000, but other multiplets arising from low
energy-levels are accessible for investigation. Fortunately
with few exceptions enhanced lines are found in the solar
spectrum for all those elements which have lines of low ex-
citation potential in the accessible region of the spectrum.
For reasons stated in foregoing chapters, these elements have
their lines strengthened in the chromosphere and hence are
prominent in the flash spectrum.
On the contrary, the principal factor which is unfavorable
to the appearance of a spectral line in the sun is a high excita-
tion potential. As a matter of fact, there are comparatively
few lines in the solar spectrum with excitation potential
greater than 5 volts, the only lines of great strength being due
to hydrogen. (In the flash spectrum, however, is found the
He 4~ line at 4686 A, with excitation potential of 48 volts.)
Hence the excitation potentials for the strongest lines in
the visible part of the spectrum give the means of explaining
the presence or absence of lines of different elements in the
sun. If the most persistent lines are not observable in the
solar spectrum, as with the element Mg, the method can give
only a minimum value of the abundance.
These theoretical considerations depend on a knowledge of
temperature and pressure in the sun. According to Edding-
ton/ the temperature of the reversing layer doubtless is great-
est closest to the photosphere and may be assumed to be
5730° absolute. Russell finds a pressure of 3 x 10 f; atmos-
pheres, in good agreement with the conclusions of other
investigators.
The total quantity of the metallic elements in the solar at-
mosphere seems to be known with some accuracy. The prob-
lem of the non-metals is more difficult, mainly on account of
1 The Internal Constitution of the Stars, p. 332, 1926.
HEIGHTS AND DISTRIBUTIONS OF VAPORS 347
less complete observational material. The metals provide all
but one-half of one per cent of all the ions and electrons. If
the correction for departure from thermodynamic equilibrium
should be disregarded, the calculated abundance of hydrogen
would be increased thirty-fold.
Assuming the abundance of hydrogen found by Menzel
from the flash spectrum (and which the present writer re-
gards to be subject to large systematic errors), then Russell
finds the probable constitution of the sun's atmosphere to be:
PROBABLE CONSTITUTION OF THE SUN'S ATMOSPHERE
Element By Volume By Weight
Hydrogen 60 parts 60
Helium 2? 8?
Oxygen 2 32
Metals i 32
Free Electrons 0.8 o
Total 65.8 132
Tables are given for the relative abundance of fifty-six
elements and six compounds. Six of the metallic elements,
Na, Mg, Si, K, Ca and Fe contribute 95 per cent of the total
mass of all the metals.
Comparisons made with Miss Payne * show an excellent
agreement in abundances for eighteen of the most important
elements, except hydrogen and also the element K (prob-
ably because Miss Payne's value for the latter depends on
only two lines). Comparisons also made with the abun-
dance of elements in the outer ten miles of the earth's crust,
including the ocean and atmosphere, and in stony meteorites,
show a good agreement throughout (better with meteorites
than with sun), except again hydrogen. The difference for
H is enormous, part of which is probably real and part is
due to the uncertainties of the calculation.
Russell calls attention to three puzzles still outstanding:
( i ) the calculated abundance of hydrogen in the sun's atmos-
phere is almost incredibly great; (2) the electron pressures
calculated from the degree of ionization and from the num-
bers of metallic atoms and ions are discordant; and (3) the
1 Harvard Observatory Bulletin, No. 835, 1926.
348
ECLIPSES OF THE SUN
calculated rate of increase of density with depth in the revers-
ing layer is much more rapid than indicated by observations
of the flash spectrum.
With the important problems involving numbers of atoms
so clearly stated by Russell and many other investigators, we
are now in a position to take up anew the question of what
may be expected within a multiplet of any element.
THE Fe MULTIPLEX a5F — y5!)0
Fi
Fi
I1 A
K-
Fi
( 3»20
3887
3940
1 25
cS
4
I><
l(5OO
800
500
000
005
01 6
O1O2
0082
0070
3825
3878
3017
20
10
5
n*
\ 1500
1000
600
1 ooo
oo.s
013
0008
OOQO
0074
f 3834
3872
3<So8
14
Q
5
1>2
\ I2OO
I OOO
OOO
OO2
003
013
OOQ4
OOQO
0074
3840
3805
10
8
DI
I OOO
800
°°3
00=5
OOQO
0082
Wave-length
3840
Intensity in sun
7
Do . ...
• Height in kilometers
75°
Evershed effect in sun-spots
Sun minus vacuum arc in angstroms
006
0078
In important articles, St. John ' and Burns ~ have discussed
their own particular points of view regarding the observa-
tional details within a given multiplet. For the purpose of
illustrating the " unit nature " of multiplets, both have util-
ized the same Fe multiplet, ar'F — y5D°, with excitation po-
tential 0.92 volts. After a thorough study of the whole
problem, by comparing this njultiplet with others, and then
1 Mt. Wilson Contributions, 389, 300, 1930.
2 Journal of the Optical Society of America, 20, 212, 1930.
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HEIGHTS AND DISTRIBUTIONS OF VAPORS 349
smoothing out accidental errors and getting rid of the effect
of blends, the appended table is adopted by the author as
his idea of this composite, or ideal, multiplet. The top num-
ber in each case is the wave-length, below this is the intensity,
then come in order for each line, the height in kilometers
from the flash spectrum, the Evershed effect measured in
angstroms, and finally, the difference in wave-length between
the value in the sun minus that of the vacuum arc. The Ein-
stein, or relativity, shift to the red amounts to 0.0082 A, or 2 1
parts in ten-million in wave-length.
In this multiplet, the numbers of " fictitious resonators "
effective in forming the different spectral lines vary greatly.
According to Russell ( loc. cit., p. 326) more than one hundred
times as many atoms are active in producing the strongest
line of the multiplet at 3820 A as go to form the weakest line
at 3940 A. Hence, within a single multiplet one should expect
that the heights found directly from the flash spectrum, or
indirectly from sun-spots, would not be constant but would be
greatest for the largest numbers of atoms.
St. John and Burns differ radically in the interpretation
of the systematic differences between the observations for
lines of different intensities in the table. The former takes
the ground that the relativity shift to the red in the sun has
been confirmed, while the latter is still unconvinced. They
agree, however, that the difference sun minus vacuum arc
should be a constant. Burns finds (as shown in the table)
that the more intense lines have a greater red displacement
than the less intense lines in the same multiplet but this is di-
rectly contrary to St. John's deductions. Burns voices his
opinion in the following words: " It seems paradoxical to as-
sume as a possibility that a very strong line of a multiplet can
originate at a high solar level, where St. John postulates the
descending movement, while a weak line of the same mul-
tiplet originates only at a lower solar level in the ascending
vapor. "
The present writer is inclined to agree with St. John and
therefore to disagree with Burns in the question of the rela-
tivity shift in the sun; he agrees with Burns and disagrees
with St. John as to the unequal displacement for different
350 ECLIPSES OF THE SUN
lines in a multiplet; but he disagrees with both St. John
and Burns in the interpretation of the data observed within
single multiplets.
Two strong multiplets of Fe are specially valuable for pur-
poses of comparison, namely , a 'D — z D(), with average ex-
citation potential 0.07 volts, and ar'F — yr'D°, with excitation
potential 0.92 (the composite multiplet given in the table).
These two multiplets have the same maximum Rowland in-
tensity of 20 in each case, and nearly the same minimum
intensity. Moreover, the two multiplets cover approxi-
mately the same spectral region, from 3820 to 3940 A, and
hence no systematic effects depending on wave-length need
be considered. Although the Rowland intensities average
the same in the two multiplets, there are pronounced differ-
ences in the other observed quantities. The multiplet of
low excitation potential 0.07 volts compared with that of the
higher value 0.92 shows the following: ( i ) greater intensities
in the flash spectrum, (2) greater heights and (3) greater
values of the wave-length difference sun minus vacuum arc.
Each multiplet separately for ( i ) , ( 2 ) and ( 3 ) show higher
values on the main diagonal than on the side diagonals. For
a height of 2000 km from the multiplet with excitation po-
tential 0.07, the difference sun minus vacuum arc is -f- 0-0135
angstroms which, corrected for the relative shift 0.0082 A,
gives a residual difference + 0.0053 angstroms correspond-
ing to a downward motion in the sun's atmosphere of 0.4 km
per second.
It must be emphasized again and again that the " ef-
fective height " above the photosphere at which a line in the
Fraunhofer spectrum is formed, the heights from eclipse
spectra and the heights from the Evershed effect, do not and
cannot refer to the maximum heights to which atoms are
ejected by solar activity. All three heights are derived from
photographic plates, all depend on the effects produced by
the atoms on the photograph. As already stated in the fore-
going, the atoms must be in sufficient numbers, or have a
concentration adequate to leave a trace of their action on the
photographic plate. It is not impossible that under average
conditions of solar activity, all Fe atoms no matter what are
HEIGHTS AND DISTRIBUTIONS OF VAPORS 351
their atomic levels or whether they are neutral or enhanced
reach about the same maximum heights in the chromosphere.
If the solar activity becomes greater, as in the course of
the sun-spot cycle, or locally as in prominences, the heights
become greater.
The conditions under which atoms in the chromosphere
radiate to form the flash spectrum (or absorb radiation in
the dark-line spectrum) are becoming well understood.
They depend on temperature, pressure and concentration of
atoms. For a single multiplet, it is obviously necessary to
assume that all of the spectral lines are formed under nearly
identical conditions of temperature and pressure and that all
the atoms reach the same maximum heights. The lines dif-
fer greatly the one from the other in the number of atoms in-
volved in the emission (or absorption) of radiation. Let us
now confine our attention to two lines from a multiplet, the
one produced by one hundred times as many atoms as the
other. Consider for each line a cylinder of unit cross sec-
tion. The base of each cylinder we shall call the photosphere,
each axis being perpendicular to the solar surface. The top
of each cylinder is at an equal, but at a very great distance
above the photosphere. The atoms are most concentrated
near the photosphere. Looking down into the axis of each
cylinder, that is, observing a spectral line at the center of
the sun's disk under the ordinary conditions of the Fraun-
hofer spectrum, it is possible to see down into each cylinder
until the atoms become so concentrated that they virtually
form a black wall through which vision cannot penetrate.
This black wall in each case then becomes the " effective
height " above the photosphere at which each spectral line
is formed. The stronger line of the two, the one involving
the greater number of atoms, has its effective level, or takes
its origin, at a greater height above the photosphere than the
weaker line of fewer atoms. The above expresses in non-
technical language what various authorities for a number
of years have been stating in technical terms. This simple
scheme seems adequate to explain a great variety of solar
phenomena. In particular, it seems easy to understand that
within a single multiplet the spectral lines take their origin
352 ECLIPSES OF THE SUN
at different effective heights, the strongest lines at the great-
est heights and the weakest at the least heights above the
photosphere.
Through a splendid series of researches carried out at
Mt. Wilson and elsewhere, a very imposing structure has
been built on the assumption that Fraunhofer lines do in-
deed take their origins at different heights above the photo-
sphere. It seems entirely unnecessary to overthrow this
beautiful edifice by requiring that all lines in a multiplet, no
matter how much they differ in intensities, must all be
found at the identically same heights. It seems equally
unnecessary to assume that all lines in a multiplet, involving
as they do very different numbers of atoms, must exhibit
the same difference in wave-length between sun and vacuum
arc. In the composite multiplet, ar'F — y D(>, the intensities
of the strongest and weakest lines of the multiplet are as
25:4 or 6: i, the heights are approximately as 3:1 and the
differences sun minus vacuum arc are as i \ : i.
From his discussion, St. John finds that the strong solar
lines show a greater red shift than do the weaker lines except
in the case where strong and weak lines occur in the same
multiplet, and then the red shift must perforce be the same
for all lines no matter how much they differ in intensities!
On the other hand, both Burns and the writer find the greater
shift for the strong lines even though the strong and weak
lines belong to the same multiplet. Burns attempts, without
much success, to explain the greater red shift of the strong
lines as due to an " intensity equation " partly due to in-
strumental causes. Both Burns and St. John find fault with
the heights from the flash spectrum in that these heights are
not a constant for all of the spectral lines of a multiplet. The
problem of the relativity shift in the solar spectrum will
be taken up in greater detail in Chapter XXIII.
The theory of the formation of Fraunhofer lines and the
problem of determining the relative abundances of elements
in the sun's atmosphere is now (1932) receiving much at-
tention by astrophysicists. The puzzles noted by Russell on
page 347 show that theory and observation are not yet in
satisfactory accord. With the perfecting of the registering
HEIGHTS AND DISTRIBUTIONS OF VAPORS 353
microphotometer much observational work has been done on
the difficult task of measuring the contours of spectral lines in
the stars and in the sun. On account of the vastly greater dis-
persion possible with the sun, it is evident that the chief ad-
vances must come from solar measures. The purpose of these
measures is to find the number, N, of atoms involved, par-
ticularly in the formation of resonance lines of different ele-
ments. In addition to Unsold, many other investigators have
engaged in the problem. Wooley ' employed a clever method
of attack by measuring the widths of the terrestrial atmos-
pheric lines in the B-band of the solar spectrum. With the
observations made at different times during the day, the
known altitudes gave a ready means of deriving the relative
numbers of atoms involved. Wooley found a variation in
the widths of lines proportional to N* instead of N*, as ex-
pected by Unsold 's theories. He then came to the conclusion
that the difference between theory and observation was
caused more by Unsold's method rather than by incorrect
calibration by Rowland. H. H. Plaskett 2 measured the mag-
nesium 6-triplet in the sun's spectrum. He discussed his
measures by means of the following assumptions: (i) pure
absorption, (2) pure scattering, and (3) combined absorp-
tion and scattering. The third assumption seems best to fit
both theory and observation. Pannekoek and Minnaert,
together and separately, have made valuable contributions
to both the theoretical and observational sides. As pointed
out in earlier chapters, Milne has done very valuable work
on the theoretical side. It is evident that enormous progress
has already been made as a result of the new quantum theory,
but the goal still seems far distant.
In spite of the imperfect agreement between observation
and theory, it will be very important to follow Russell's
methods and ascertain the abundances of elements in the
sun's atmosphere from the flash spectrum. The best pho-
tographs for this purpose are unquestionably those of the
Lick Observatory discussed by Menzel and the concave
grating spectra taken by Mitchell. The information from
1 Astro physical Journal, 73, 185, 194, 1931.
2 Monthly Notices, R. A. S., 91, 870, 1931.
354 ECLIPSES OF THE SUN
the latter should be the more reliable, for the reasons that
the grating spectra were photographed almost completely by
one spectrograph with constant dispersion, while the Lick
spectra were taken with several spectrographs and varying
dispersions, with both fixed and moving plates; and in addi-
tion they covered only about one-half of the region of wave-
lengths discussed by Mitchell.
Both Menzel and Mitchell attempted to estimate their
intensities on the Rowland scale. In general, each agreed
with Rowland and with each other. However, in the fore-
going chapters the large systematic differences in intensities
between the chromospheric intensities and those of Row-
land have been emphasized. These differences may be
briefly summarized as follows: (i) The hydrogen and he-
lium lines are much stronger in the chromosphere. (2) The
enhanced or ionized lines are likewise much stronger. The
great increase in strength has been explained by the fact
that the intensified lines are high-level lines. (3) With the
neutral lines in the spectra of the metals, similar systematic
differences between the chromosphere and Rowland are
noted. It was shown that for any element, the strongest lines,
or those of low excitation potential, are stronger in the chro-
mosphere than in Rowland; those of medium excitation po-
tential have about equal intensities in the two spectra, while
the lines of highest excitation potential are weaker in the
chromosphere.
The reasons for these systematic differences for the neu-
tral lines find a ready explanation; namely, lines of low ex-
citation potential involve more atoms than those of the same
element of high excitation potential. The greater number
of atoms involved permits these lines to be detected to
greater heights in the flash spectrum. Apparently, therefore,
all high-level lines whether from the neutral or the ionized
atom are stronger in the flash spectrum than in Rowland,
while on the contrary, those of low levels are weaker than
in Rowland.
Remembering, therefore, that Russell's determination of
the abundances in the sun's atmosphere depends primarily
on the ability to calibrate the Rowland scale, it might be
HEIGHTS AND DISTRIBUTIONS OF VAPORS 355
thought that on account of the great differences just noted
between the Rowland and the chromospheric intensities,
there might be systematic differences in the amounts of the
elements found from the Fraunhofer spectrum and from the
flash spectrum. In particular it might be thought that H
and He, on account of their great strengths, would be rela-
tively much more abundant from the chromospheric investi-
gations. Manifestly, it is necessary also to calibrate the
estimated intensities in the flash spectrum. The reliability
of the final results will depend mainly on how accurately
this calibration can be carried out.
As Russell has pointed out, the information for each of
the elements found in the sun depends chiefly on the strong
lines, those of low excitation potential. In spite of the much
greater dispersion in the Rowland spectrum than is avail-
able in the flash spectrum, the latter has almost as complete
information regarding the strong lines. Hence the results for
the chromosphere from eclipse spectra should have almost
the same accuracy as those of Russell.
Two separate determinations have been made: one from
the Lick photographs by Menzel, the other l by Mitchell and
Miss Williams. The results show that within the limit of
errors there appears to be little difference between the rela-
tive abundances derived from the Fraunhofer spectrum and
those obtained from the flash spectrum. In other words, the
two determinations from the chromosphere differ from each
other about as much as either differs from Russell's deter-
mination. This is true for all of the elements investigated
with the exception of H and He. For obvious reasons, the
information from the chromospheric spectra for these two
elements should be more reliable than from the Fraunhofer
spectrum.
With the results now available, it seems probable that
hydrogen is actually more abundant in the chromosphere,
but whether the factor is ten, or ten thousand times, we are
not now sure. In fact, the lightest elements, hydrogen and
helium, still remain puzzles. In spite of the very great num-
ber of attempts that have been made to predict from theory
1 Publ. Leander McCormick Obsy., 5, Pt. 6,
356 ECLIPSES OF THE SUN
the intensities in the hydrogen spectrum, no very great
success has yet been attained.
Additional information obtained from eclipse spectra is
the distribution of atoms at different heights, or in other
words, the density gradients in the chromosphere. Panne-
koek and Minnaert, from their 1927 spectra, found density
gradients up to 2000 km for the emitting atoms of H and He.
Their measures showed that the density of hydrogen de-
creased much less rapidly than would be expected in an iso-
thermal atmosphere under equilibrium conditions. The
writer and Miss Williams (loc. tit.} have derived density
gradients for the emitting atoms of neutral Fe and for the
ionized elements Ti, Fe and Cr between the heights of 300
and 2500 km. Menzel (loc. tit.) has derived a density law
up to 2500 km by combining the measures from different
elements.
To derive the density gradients, it is necessary to know
the heights as accurately as possible. It is also necessary
that the atomic origin of the lines be known and that the
lines arise from multiplets in which the relative intensities
of the lines can be predicted by the theoretical intensity for-
mulae. The inter-system lines are of no use for the purpose
for the reason that no intensity formulae are known for
them. Further, the lines of the Balmer series of hydrogen
cannot be used because no two lines belong to the same multi-
plet. In the case of an element like Fe, there is a great
amount of material available. Every multiplet in which two
or more lines appear unblended in the flash spectrum fur-
nishes a determination of the intensity gradient at different
heights above the photosphere.
Earlier in this chapter, the multiplet a5D — yr'D° has been
considered. The intensity formulae show that the relative
numbers of atoms involved per unit volume are nearly pro-
portional to the squares of the intensities. For purposes
of illustration, we shall group together lines of equal
heights in the multiplet and round off the predicted number
of atoms. From the 12 lines of the multiplet we have the
following:
HEIGHTS AND DISTRIBUTIONS OF VAPORS 357
Line
a
b
c
d
e
/
Relative number of atoms
45°
300
200
100
60
5
Height in kilometers. . .
1600
1500
1 200
1000
800
600
With photographs of the flash spectrum taken without slit,
measures of the chords to the tips of the cusps give the
heights. As explained in the foregoing, a detectable blacken-
ing of the photographic plate occurs when there is a given
number of emitting atoms along the line of sight, a state-
ment which is true only within a limited region of wave-
lengths. Hence the number of atoms in line b, above the
i50o-km level from the photosphere, is exactly equal to the
number in line d above the looo-km level, or in line / above
the 6oo-km level. Evidently in this multiplet, i^ times as
many atoms are detected by the photographic plate in the
act of emitting radiation at the i20o-km level as at the 1500-
km level. The number of atoms per unit volume being i^
times, the density of concentration is therefore 50 per cent
greater. Compared with the density at the isoo-km level,
the density at the i2oo-km level is i^ times, at the looo-km
level it is 3 times, at Soo-km it is 5 times, and at 6oo-km the
density is 60 times. Hence, it is evident that from this one
multiplet, the densities of distribution of neutral Fe atoms can
be obtained at different heights above the photosphere.
Other multiplets give similar information, and hence the
density gradients may be ascertained by taking the averages
for all the multiplets employed. Averages being taken for
different heights, it is manifest that the most reliable results
are derived from those spectra for which the heights are
most accurately known. For any element like Fe where
many multiplets are available, the material may be divided
into different groups of low, medium and high excitation
potential. When the number of multiplets are numerous
enough, this same process may be carried out with different
neutral and ionized elements. When due account has been
taken of these matters, it is possible to derive an empirical
density law for a number of different elements.
358 ECLIPSES OF THE SUN
In MenzePs discussion, all elements were grouped together
while Mitchell and Miss Williams discussed the elements
separately. The results from the two discussions agree, and
they show that the density gradients for the various elements
are not very different. The density gradients for neutral
Fe and for ionized Ti are not very much greater than for
hydrogen; and all values are much less than would be ex-
pected in an isothermal atmosphere.
The difference found in the distribution of the atoms of Fe
of low excitation potential, as compared with that of the
atoms of higher excitation potential, might be ascribed to
a large temperature gradient in the chromosphere were it
not for the fact that the Ti-\- data shows no such effect.
The same effect is undoubtedly present in the Fc data at
much lower levels — in the regions between the effective
levels of the reversing layer and the chromosphere. Menzel
ascribes this to a temperature gradient, but in view of the
fact that the Ti + data shows no such effect in this region,
even as it showed no effect at greater heights, it is unsatisfac-
tory to assume an explanation which brings the Fe data into
step but at the same time throws the Ti + data out of step.
But why are the density gradients so much smaller than
expected? What is the supporting mechanism? Many theo-
ries have been proposed. These have been examined in de-
tail by Menzel. Here it will be possible to touch on them
very briefly, on account of limitations of space and also for
the reason that none of the theories satisfactorily explain the
observed facts. Milne (loc. cit.) has a beautiful theory in
regard to ionized calcium. The atoms fall toward the sun
under the influence of gravity until a quantum of energy of
the frequency of the H or K line is absorbed. The momen-
tum associated with the light-quantum tosses the atom high
into the chromosphere again, after which once again it
begins to fall. This process is repeated indefinitely. This
theory may be applied to the other alkaline earths, Mg, Sr
and Ba, but it is not applicable to any of the other elements ;
some other force must support them. As Rosseland ! was
the first to suggest, there is a great turbulence in the sun's
1 Monthly Notices, R. A. S., 88, 377, 1928.
HEIGHTS AND DISTRIBUTIONS OF VAPORS 359
atmosphere in virtue of which the heavy elements will be
tossed to great heights in the chromosphere along with the
light elements. This would account for the fact that the
relative abundances found in the reversing layer, that is, in
the lower and denser layers of the chromosphere, are prac-
tically the same as found in the higher reaches of the chro-
mosphere from eclipse spectra. Turbulence would also
account for the similar density gradients of dissimilar
elements.
Gurney's theory 1 is most interesting, especially as it may
give a solution for the helium puzzle. Since there are so
many Ca -f- atoms in the high chromosphere, a great number
of them will become doubly ionized. But the doubly ionized
Ca ion is incapable of supporting itself by absorbing light-
quanta, for the reason that its ultimate lines lie in a spectral
region where the number of light-quanta emitted by the sun
are relatively few. Hence the Ca + + ion will drop back to
the photosphere and in so doing it will attain a tremendous
kinetic energy, enough to excite the visible helium lines if it
should collide with a He atom, or even enough to ionize the
He and excite the interesting line found in the flash spectrum
at wave-length 4686.
1 Ibid., 89, 49, 1928.
T
CHAPTER XX
THE CORONA
corona still remains exclusively an eclipse phe-
nomenon. In spite of the amazing achievements
of modern science which at times seems to be able
almost to accomplish the impossible, no success has attended
the efforts made to observe the corona outside of an eclipse.
On account of the dramatic character of the phenomenon
and of the great interest in eclipses felt by both the astrono-
mer and the general public, each eclipse as it comes is en-
thusiastically observed ; but the truth must be told that suc-
cess commensurate with the labor involved is not always
forthcoming. " The problems of the corona are many, and
few of them can be said to have approached solution. Im-
portant facts concerning it have been established, but these
facts are more or less isolated, and in general their relations
to each other are unknown. The paucity of results obtained
thus far is due primarily to the unique condition that the
most assiduous of eclipse observers can scarcely hope for
more than an hour of totality with clear skies, in his entire
lifetime/' In this and the following chapter we shall attempt
to show how the amazing progress of recent years in every
branch of solar research has affected the solution of coronal
problems.
Concerning the total eclipse of March 29, 1652, seen in
Ireland, Dr. Wyberd writes, " The moon suddenly threw it-
self within the solar disk with such agility that it seemed
to go round like an upper mill-stone. The sun then appeared
around the limb, affording a pleasant and remarkable spec-
tacle of rotation." There seemed to be a widespread notion
among the early observers of eclipses that during totality
very rapid motions took place within the corona and
that the corona was some sort of a modern fireworks
360
THE CORONA 361
display with brilliant scintillations and sudden changes. In
fact, the early notion seems not to have entirely vanished
in the enlightened and scientific age of the twentieth
century.
No eclipse expedition worthy of the name will be fully
equipped unless it has as part of its program the securing
of large scale photographs of the corona. Astronomy of the
future needs, as it has in the past, to secure good photographs
of every possible eclipse. The Lick Observatory has the
most complete series in existence, beginning with the eclipse
of 1893. The Lick photographs have always been secured by
pointing the camera directly at the sun, the method devised
by Schaeberle, and a uniform focal length of forty feet has
been employed. This permanent record of the past is always
available for purposes of comparison.
The 5-inch aperture, 4O-foot focus represents a ratio of
aperture to focal length of 1:96. The commercial photog-
rapher would look aghast if he were compelled to work with
such a slow camera. For investigating the details of the
inner corona, a large scale image is necessary, rendered pos-
sible by great focal length. Up to the present, the largest
scale has been secured at the eclipse of 1900 through the use
of a horizontal camera of 12 inches aperture and 135 feet
focal length, a ratio a:/ =1:135. The brightness of the
inner corona permits the employment of short exposures even
with the small ratio of aperture to focal length necessitated
by cameras of great focal length.
Two methods of mounting cameras of great length are
available, either that of pointing the objective directly at the
sun, or using the horizontal telescope with coelostat mirror.
The former has distinct advantages over the latter, but the
erection becomes increasingly difficult as focal lengths are
augmented. Miller of Swarthmore College has been very
successful with focal lengths of 63 feet. For such a mount-
ing, a double tower is necessary, an inner one to carry the
objective, and an outer tower to protect the whole from jars
caused by the wind. With this type of mounting the plate is
moved by a clock to counteract the diurnal motion. With
the Swarthmore tower-telescope on Niuafoou Island, at the
362 ECLIPSES OF THE SUN
most recent eclipse, photographs with superb definition were
secured by Marriott.
The horizontal telescope is much easier to construct and
erect in the field. The tube may be made of heavy paper and
the plate holders carried by a heavy framework surrounded
by a dark room. Care should be taken that the tube is not
too near the ground and that the tube is protected from the
direct rays of the sun by a canvas or paper shelter. The
coelostat is the best form of mounting for the plane mirror.
Compared with direct mounting, as was effectively shown at
the eclipse of 1919, the horizontal telescope has the great
disadvantage that the mirror is sensitive to changes of tem-
perature and it may alter its shape and become warped on
eclipse day when exposed to the sun's rays. Ordinarily, focus
is obtained for eclipse cameras by star trails. If possible a
warm night, differing as little as possible from the expected
temperature at eclipse time, should be utilized. It is impera-
tively necessary to keep the mirror protected from the sun's
rays on the day of the eclipse until a very few minutes before
totality. One should avoid the horizontal telescope if pos-
sible, mainly on account of the uncertainties connected with
the mirror and its lack of permanent figure. At the Niuafoou
Island eclipse, good photographs were secured with the 65-
foot horizontal telescope belonging to the U. S. Naval Ob-
servatory. The lens is as good a one as the Swarthmore lens
of nearly equal focal length used in the tower-telescope and,
moreover, Marriott cared for the details of both instruments
and the development of the plates. The definition of the
tower plates, however, was better than those taken with
the horizontal telescope. For the purpose of portraying the
structural details of the corona it is evident that the greater
the focal length utilized the more valuable will be the results.
Cameras of medium and small size have not been superseded
by the large instruments and still have useful functions at
eclipses. Larger ratios of aperture to focal length are possi-
ble than with those of the largest size. Such cameras are
more rapid and, consequently, are useful in securing the faint
extensions of the outlying corona. They are especially valu-
able in photometric observations which will be taken up in
THE CORONA 363
detail below. Every precaution should be taken to reduce
to a minimum the effects of halation and reflections from the
glass-side of the plates. All plates used for photographing
the corona should be " backed " with some absorbing material
on the glass side. Some eclipse observers have had excellent
success from using double-coated or triple-coated plates.
In attempting to photograph the corona on small or large
scale, it goes without saying that the greatest care should
be exercised to secure the most perfect definition, and also
that the photographic manipulation should be conducted
so as to bring out of the plates as much of the wealth of
detail as possible. Development may be carried out in such
a way as to attain very different photographic effects. If
contrast is needed, as in spectrum work, a " hard " develop-
ment is required. There are many developers suited for this
sort of work with which anyone doing spectrum work is en-
tirely familiar. For developing the corona, however, where
it is necessary to bring out as many of the fine details as pos-
sible, and where an attempt should be made to minimize the
contrast between the bright inner corona and the faint outer
corona, an entirely different kind of developer and develop-
ment is necessary. Old-fashioned " pyro " is probably the
best form of developer to use for this purpose, and one would
do best to start with a very weak solution and proceed gradu-
ally. The proper development of each plate will take at least
an hour. Undoubtedly many well exposed coronal photo-
graphs have been spoiled through improper care in develop-
ment. The technique of development of photographs is so
well known that no attempt at further details will be given
here.
In reviewing the scientific work accomplished at solar
eclipses, one is immediately struck by the fact that success
has been greater in the direct photography of the corona than
in any other branch of eclipse investigations. The self-evident
reason is that every well-equipped eclipse expedition, no mat-
ter what their other program, attempts to photograph the
corona. However, there is another reason not so apparent,
which is that perfection of focus and seeing, although de-
sirable, are not absolutely essential in obtaining successful
364 ECLIPSES OF THE SUN
photographs of coronal details. A lack of perfect focus plays
havoc with spectroscopic photographs but detracts little from
the corona for the reason that its structure is nebulous or
filmy in detail. These remarks should not be interpreted
to mean that one should be satisfied with anything short of
absolute perfection in the determination of the best focus.
The general form of the corona can be predicted in advance
of the eclipse. At sun-spot minimum are found the long
equatorial streamers and the short plume-like polar brushes
which were well seen at the eclipse of 1900 (p. 164), or in
1922 (p. 365). At sun-spot maximum the corona is nearly
circular in shape, thus resembling a gigantic dahlia. How
closely are these typical shapes connected with the sun-spot
curve? It is rather curious to find that in the thirty years
following 1893, when large-scale photographs of the corona
were first successful, sixteen total eclipses were observed
either near maximum or minimum of spots, or were distrib-
uted along the branch of the curve descending from maxi-
mum. The eclipse of 1914 was the only corona seen on the
ascending branch of the sun-spot curve, the corona of 1916
having been obscured by clouds. Fortunately for our knowl-
edge of this subject, the eclipses of 1925, 1926 and 1927 were
all on the ascending part of the curve. With the eclipses of
1929 and 1930 on the descending branch of the sun-spot curve
near maximum, our information regarding the shape of the
corona can now be subjected to more exact scrutiny. We ask
ourselves the question whether the typical coronal shapes
take place exactly at maximum and minimum, or whether
they start before or after the times of maximum and mini-
mum. Take one particular eclipse. Sun-spot maximum oc-
curred in August, 1917. The eclipse of June, 1918, did not
show the typical corona of sun-spot maximum, for the polar
streamers were shorter than those near the equator, and the
corona departed more from the circular shape than was ac-
tually anticipated. Generally when the maximum of spots
is past, the streamers draw away from the poles, and the long-
est rays are found in the sun-spot zones, making the corona
rectangular in appearance. .
Although it may be said with truth that the shapes of the
Spain
1918
\merica
1908
Flint
Island
Pacific
1922
Australia
THREE CORONAS PHOTOGRAPHED BY LICK ASTRONOMERS AND ONE (1922) BY
CANADIAN OBSERVERS
THE CORONA 365
corona at minimum of sun-spots all resemble each other in
having long equatorial streamers and pronounced polar
brushes, yet each corona has its own particular features, its
own peculiar structure. The coronas of 1878, 1889, I9°°
and 1922, all taken at minimum phase of sun-spots, could
never be mistaken one for the other. In fact there were two
eclipses in the year 1889, on January i and December 22,
with very pronounced alterations in shape in the coronas.
These variations in form, as pointed out by Wesley,1 were
precisely in accordance with the change to be expected with
the sun returning toward a condition of spot activity. The
shapes of the coronas from 1922 to 1927, inclusive, furnish
interesting comparisons. The eclipse of September 14, 1922
represented the typical minimum corona. The eclipse of
September 10, 1923 exhibited the same features. Even on
January 24, 1925, there was still the typical minimum shape,
of pronounced polar brushes, but the equatorial streamers
were not so long as those of 1922. To the right of the verti-
cal, however, there was a long pointed shaft of light giving
mute evidence that the time of minimum was well past. On
January 14, 1926, the corona had lost all of the characteris-
tics of the minimum type and closely resembled that associ-
ated with maximum of spots, though the time was two and
one half years before the expected maximum of spots. The
corona of June 29, 1927 was distinctly that of maximum
type.
Corona times near sun-spot maxima resemble each other
even less than do the different aureoles at sun-spot minima.
The coronas corresponding to maximum of spots are, it is
true, approximately circular in outline, but prominent rays
and streamers shoot out at various angles. We are forced
therefore to the conclusion that changes are continuously go-
ing on in the corona. How rapid are these changes? Can they
be detected from photographs taken with the same camera,
at the beginning and ending of a total eclipse? It is possible
that the few short minutes of totality may afford too short an
interval to permit these changes to be detected with cer-
tainty, from photographs taken at any one location, but mo-
1 Observatory, 13, 105, 1890.
366 ECLIPSES OF THE SUN
tions might possibly be detected from photographs secured
at widely separated stations at the same eclipse.
Any theories dealing with coronal structures must depend
on the measured changes within the corona itself , and it is
therefore imperatively necessary that reliable information
be secured regarding these motions. The importance of
this problem has been fully recognized by eclipse observers
for many a long year. Manifestly, no real progress was
possible as long as it was necessary to depend for informa-
tion on drawings of the corona. In fact, sketches made dur-
ing the time of an eclipse have been a continued disappoint-
ment, but the non-success was no greater than what should
have been expected. Even a skillful draughtsman subjected
to the excitement and unfamiliarity of a total eclipse could
not be expected to see and draw, in the hurried interval of
a couple of minutes, more than a few details of coronal struc-
ture. These details of necessity must be exaggerated in the
drawing. A sketch made by a second person, as well trained
as the first draughtsman and secured at the same time and
location, probably would stress other details regarded as
important. But to make matters worse, most of the draw-
ings of the corona made in the past were secured by men
who were observing their first eclipse, and frequently these
very men had little experience or skill in the making of
sketches. With the advent of the photographic plate, the
wholesale drawing of the corona during totality has been
pushed more and more into the background.
To detect motions in the corona with the greatest cer-
tainty, several prerequisites are necessary: First, the photo-
graphs to be measured should be on as large a scale as pos-
sible; second, the interval in time should be as great as
possible; and third, the photographs to be compared should
be secured with cameras of nearly the same focal length and
they should resemble each other in general appearance as
much as possible. Plates developed with different effects of
contrast and taken under different conditions of seeing cannot
furnish motions with the highest degree of precision.
Attempts were made as early as 1889 to secure the neces-
sary information by the comparison of photographs at the
THE CORONA 367
eclipse of December 22. An interval of two and a half hours
elapsed between the time of totality at Cayenne and Cape
Ledo in West Africa. Unfortunately, clouds were experi-
enced at the latter station. As a result of the long duration
of totality at the eclipse of 1901, an exceptionally favorable
opportunity existed for determining motions from observa-
tions at a single station. Perrine1 secured successful photo-
graphs with the 40-foot camera. Measures of short exposure
negatives, taken near the beginning and end of totality,
showed no displacements of coronal masses in the interval
of a little more than five minutes. On account of the accu-
racy of the measurements, it was possible to have measured
with certainty a velocity of 20 miles per second across the line
of sight. Motions should have been suspected if they had
been as great as 12 or 15 miles per second. The 1901 pho-
tographs were near sun-spot minimum. At the eclipse of
1905, Hansky secured photographs on the same scale as Per-
rine's photographs/ The corona was one of typical maxi-
mum form and presented few conditions for the best results.
The corona was very intense, especially near the solar sur-
face, and its rays, being projected from all sides of the disk
of the sun, so superposed themselves the one upon the other
and became so entangled that it was almost impossible to
distinguish the same details on successive photographs. By
taking the original negatives and making glass positives, by
proper shading and by local development, much detail was
secured in the corona. From the measures of 43 separate
rays, information was obtained concerning the motions of
the coronal material within the period of totality lasting a
little more than three minutes. The velocities determined
were little greater than the errors of observation. None of
the velocities investigated exceeded 25 km per second.
In accordance with the plans of the Lick Observatory of
always attacking eclipse problems of the greatest importance,
an attempt was made at the eclipse of 1905 to detect changes
in the coronal structure by establishing three stations at
widely separated localities and securing large-scale photo-
graphs at each station. Parties were sent to Labrador, to
1 Lick Observatory Bulletin, i, 151, 1902. 2 Mitt. Pulk., 2, No. 19, 107.
368 ECLIPSES OF THE SUN
Spain and to Egypt. Unfortunately for the success of the
scheme, cloudy weather prevailed in Labrador where were
stationed Curtis and Stebbins. Thin clouds were met in
Spain, but they did not greatly interfere with the photo-
graphs secured by Campbell and Perrine. Clear skies greeted
Hussey in Egypt where totality occurred 70 minutes later
than in Spain. A careful comparison was made of the photo-
graphs1 secured at the two stations. A number of fairly
well-defined nuclei were found, both east and west of the
sun. Details of structure within the nuclei appeared to
change, but the nuclei as a whole remained in the same posi-
tion. Measures of the greatest accuracy were impossible
on account of the poor definition of the Egyptian plates
caused by poor seeing. The conclusion was that " the masses
in question could not have moved so much as one mile per
second during the interval of 4200 seconds. Greater speeds
might well have occurred within the principal coronal stream-
ers, or within some of the arched forms which enclose promi-
nences, without our having detected them; for their structure
is quite uniform, and well-defined nuclei are absent/7
The American eclipse of 1918 afforded an additional op-
portunity by comparing plates taken at three separate sta-
tions where were located expeditions from Lick, Lowell and
Sproul Observatories. At Goldendale, Washington, the focal
length was 40 feet, at Syracuse, Kansas, the camera was 38.7
feet in length, while at Brandon, Colorado, the camera was
63 feet long. One plate secured by each of the first two
cameras and two plates with the 63-foot instrument were
compared. Each of the three cameras pointed directly at the
sun. There were no definite nuclei or other distinctive fea-
tures present in the streamers that were sufficiently well de-
fined to be used as points of measurement by Miller." There
were, however, three arches surrounding three prominences
and attention was confined to these. The first arch was
around the " Pyramid " or " Eagle " prominence in the north-
eastern quadrant. Towards the pole side of this prominence
there were four well-defined arches. The second arch was
around a prominence in the SE quadrant, while the third
1 Lick Observatory Bulletin, 4, 121, 1907. 2 Publ. A. S. P., 32, 207, 1920.
THE CORONA 369
arch was near the " Heliosaurus " prominence. Each of
the three prominences displayed four separate arches, and
the positions of one arch only of each were measured. These
measures gave fairly accordant results and seemed to show
that the arches had changed in the twenty-six minutes' in-
terval between the Lick and the Sproul photographs. The
average rate of speed at which these arches receded from the
sun was about ten miles per second.
At the eclipse of 1926, Horn-D'Arturo compared photo-
graphs taken by the Italian expedition in East Africa with
those taken by the British expedition in Sumatra two and a
half hours later. He measured the coronal domes at position
angle 335° and found that if they moved at all, their motions
were not greater than 2 km per second. Von Kliiber l reached
a similar conclusion from measures on the photographs of the
German expedition in Sumatra compared with Horn-D'Ar-
turo's measures.
Horn-D'Arturo found that on the photographs taken in
Africa there were well-defined streamers at position angles
350° and 320°, both traceable to heights greater than one
solar radius, whereas on the Sumatra photographs the
streamer at 350° had disappeared, the streamer at 320° was
intensified and a new, well-defined, very straight streamer
had appeared at 325°, traceable to a height of ii solar radii.
If the new streamer be interpreted as matter just ejected
from the sun, then the matter must have been moving at
least 50 km per second.
From the photographs compared by Miller, it was evident
that the polar rays east of the axis of symmetry are curved
away much less than the rays to the west, the difference
not being due to the effect of projection. It is therefore
evident that the velocities with which material is ejected
from the sun to form the coronal streamers must be very
small compared with the motions with which we are fa-
miliar in the prominences. Any theory dealing with the
formation of the coronal structure must take cognizance
of these moderate velocities of ejection.
The corona owes its entrancing beauty to the far-flung,
1 Zcits. jur Astrophysik, 4, i, 1932.
370 ECLIPSES OF THE SUN
pearly-white streamers, so conspicous in each corona ob-
served. The contrast with the rosy-red prominences close
to the edge of the black moon makes a never-to-be-forgotten
spectacle. In addition to the streamers, there are other
features of the corona that deserve attention, and it is neces-
sary to find out their relations to solar phenomena such as
prominences, sun-spots and faculae. " Arches," " hoods "
or " striated cones " have been observed since Cleveland
Abbe first saw them at the eclipse of 1869. They are
specially conspicuous at the time of sun-spot maximum.
The first good photographs obtained of them were by
Schaeberle at the eclipse of April, 1893. The coronal arches
were noted by him1 to be associated with prominences.
Miss Clerke" draws the conclusion that " Each pearly pa-
vilion is erected over a red flame. Coincidences of the kind
are of perpetual occurrence." These hoods were specially
marked in the coronas of 1896 and 1898, but were prac-
tically missing from the minimum type of corona of the
year 1900.
At the eclipse of 1901, a different kind of " disturbance "
was noted in the photographs secured by Perrine, which
consisted of a conspicuous center, apparently at the sun's
limb, from which strong streamers stretched out to great
distances from the edge of the sun. This disturbance was
all the more interesting for the reason that Perrine found
it to take its origin over the region of a prominent sun-spot.
In fact, this spot was the only one known to exist on the sun
at the time. Similar disturbances were seen in the photo-
graphs of the eclipse of 1918, but Campbell and Moore
could find no relation between them and any sun-spot or
chromospheric phenomena known to exist on the sun. As
already stated, the arches were specially prominent at this
recent eclipse and they extended to much greater distances
from the sun's limb than they did in 1893, although both
eclipses were near the sun-spot maximum. In 1923, Miller
photographed a disturbed area in the corona intimately asso-
ciated with a spot near the sun's limb, shown at page 209. As
1 Contributions from the Lick Observatory , 4, 94, 1895.
2 Problems in Astrophysics, 129, 1903.
THE CORONA 371
a whole, disturbances are much more conspicuous in the coro-
nas seen at maximum of sun-spots for the reason that promi-
nences are much more numerous and active and are found in
all heliographic latitudes, while at sun-spot minimum the
prominences are feeble and are confined to zones near the
solar equator.
Much valuable information regarding coronal disturbances
was obtained 3 at Niuafoou Island in 1930. This was the first
time in the history of eclipses that so much detailed structure
was visible in the spectral lines of the corona, this structure
being made possible by the fine definition of the concave grat-
ing spectra taken without slit. A comparison of all the 1930
grating spectrograms, but more particularly a study of the
H and K lines, reveals the interesting fact that the sun, two
years after sun-spot maximum, was in a condition of great
activity on the day of the eclipse. The spectra and the
direct photographs taken by the 63 -foot tower telescope by
Marriott show prominences completely encircling the sun.
Comparisons were also made with spectroheliograms on four
successive days, taken at Mt. Wilson or Kodaikanal. The
superb definition of the eclipse photographs shows both the
prominences and the inner corona in great beauty.
A comparison of all the photographs, the spectrohelio-
grams with the eclipse plates both direct and spectrographic,
shows that the sun was very active not only at eclipse time
but throughout the whole period of nearly four days covered
by the plates. At the time of totality there was a promi-
nence almost exactly at the south point of the sun extending
to a height of 25,000 km. At this time the axis of rotation
passed 26° to the west of the south point. The photographs,
direct and spectrographic, show prominences even at the
north and south poles of the sun's axis.
Marriott's photographs and the eclipse spectra exhibit
that the whole southeast quadrant was a tremendously
stormy region on the sun. The center of the longest stream-
ers of the whole corona was situated 30° to the east of the
south point of the sun, or at position angle 150°. Inter-
twining the coronal streamers is a beautiful series of coronal
1 Publ. Leander McCormick Obsy., 5, 155; Astroph. Jour,, 75, i, 1932.
;j72 ECLIPSES OF THE SUN
domes. At totality, at the base of the long streamers and
domes is an extended group of prominences centered at 150°
of position angle. These prominences, though apparently
very active as shown by the eclipse photographs, did not
reach the greatest heights on the sun. These greatest heights
were actually attained by prominences also in the southeast
quadrant but at 115° of position angle. This is the location
of the conspicious feature called the " strawberry dome," with
its magnificent series of arches and with its delicate inter-
twined structure of filamentous details. Facing page 373, at
A and B are found drawings from the eastern edge of the
sun from the region where the " strawberry-shaped " dis-
turbance is found on Marriott's photographs. At A are
drawings from the K and Ha lines of the spectra of the
chromosphere, and at B is the same region from the direct
photographs and from the lines 5303 and 6374 of coronium.
At C on the western edge of the sun, the detail in the 5303
line resembled the cocoanut trees which grew in great pro-
fusion on " Tin-Can " Island.
For many long years all eclipse observers have called at-
tention to the connection between coronal streamers and
prominences. This dependence of streamers and prominence
activity is abundantly verified in 1930, but this eclipse dem-
onstrates the fact that the longest coronal streamers, on
which the shape of the corona more or less depends are not
necessarily connected with the prominences which at the
time of the eclipse are of greatest height.
The long streamers of the corona are best seen near the
time of minimum of sun-spots. The splendid series of photo-
graphs secured by Lick Observatory expeditions have been
utilized by Moore and Baker to measure the direction of the
axis of symmetry of the polar brushes, photographs at five
separate eclipses exhibiting the polar rays sufficiently well-
determined for the purpose. The direction of the sun's
equator is inclined about 7° to the ecliptic and 26° 16' to
the terrestrial equator. The measures given in the following
table show that the axis of symmetry of the polar rays coin-
cides, within errors of measurement, with the rotation axis
of the sun.
PQ
I
°
s
C lH
O O
W M
•a
East
DRAWINGS MADE BY EMMA T. R. WILLIAMS FROM SPECTRA BY
CONCAVE GRATING WITHOUT SLIT
A and B refer to the eastern section of the sun shown in Plates I and II,
and C to the western section. (Please note that all positions in C are inverted.)
In A are given the K line of Ca-f- and the Ha line of the chromosphere
from spectra taken immediately following the first flash. In B and C are
given (from left to right) details from Marriott's photographs near the
beginning (B) and end (C) of totality, and the structure in the coronal
rings of spectra at X 5303 and X 6374, respectively.
East
West
THE CORONA
373
Axis OF SYMMETRY OF POLAR STREAMERS IN SOLAR CORONA
(Position angles measured from North point of Sun)
Date of Eclipse
Axis of Polar Streamers
Rotation
Polar
Streamers
minus
Moore
Baker
Mean
Axis
Rotation
Axis
o
0
0
1898 Jan. 21
9.4 W
9-3 W
9.4 W
8.2 W
1.2 W
IQOO May 28
17.1 W
17.6 W
17.4 W
16.9 W
0.5 W
1901 May 18
21. 5 W
20.7 W
21. 1 W
20.3 W
0.8 W
1908 Jan. 3
0.9 W
0.8 E
0.0
1.2 E
1.2 W
1922 Sept. 21
24.4 E
24.8 E
24.6 E
25.0 E
0.4 W
Average
0.8 W
Facing page 373, line i following caption, for in Plates I
mcl IF read facing pages 8 and 13
granted that every spectral line seen at mid-totality, when
to the eye there was no visible trace of the chromosphere,
must perforce take its origin in the corona. It was with a
great shock of surprise that H and K of calcium were seen in
1882 projected on the black face of the moon, where presum-
ably there is no light at all. About thirty bright lines were
photographed by Schuster and by Abney at the eclipses of
1882, 1883 and 1886. Even as late as 1893, the H and K
lines were assumed to belong to the corona.
Knowledge of the spectrum of the corona may almost be
said to begin with the eclipse of 1893, when Fowler with a
prismatic camera photographed nine rings, all of which agree
in position with lines reported for the 1886 eclipse. At the
same eclipse, Deslandres photographed three coronal lines
at 3987, 4086 and 4231 A, and also three others at 3164,
3170 and 3237 A, in the ultra-violet. These last three have
not been observed since by others, nor have two of Fowler's
nine. It was not until 1898 that coronal spectra had acquired
sufficient precision to distinguish between the chromospheric
374 ECLIPSES OF THE SUN
line 1474 K at wave-length 5317 and the " coronium " line
fourteen angstroms farther to the violet, at 5303. Photo-
graphs were secured at the eclipse by Fowler, by Campbell,
by Naegamwala, and by Newall and Hills. Additional pho-
tographs were secured by Frost in 1900, by Dyson in 1900,
1901 and 1905, by the U. S. Naval Observatory parties in
1900, 1901 and 1905, by Fowler and Lockyer in 1900, and by
Lockyer and by Campbell in 1905. More recently the Lick
expeditions have secured good photographs, by Lewis, and
by Campbell and Albrecht in 1908, and by Lewis, by Camp-
bell and Moore in 1918 and again in 1922. More recently
excellent spectra have been secured, in 1925 by Curtis and
Burns, in 1926 by Davidson and Stratton, in 1929 by Gro-
trian, and in 1930 by Mitchell.
At the eclipse of 1918, Slipher found on his photographs
the green coronium line extending across the space occupied
by the moon's image — due to scattering of light in the
earth's atmosphere. At the eclipse of August, 1914, Car-
rasco, and Bosler and Block, independently discovered a new
coronal line in the red, at wave-length 6374 A. In Lick Ob-
servatory Bulletin, 10, i, 1918, Campbell and Mopre assem-
ble all the reliable observations of coronal wave-lengths de-
termined since the eclipse of 1893. These values for forty
lines are given in the second edition of this book on page 329.
As an illustration of the precision of knowledge at that time
regarding coronal wave-lengths may be cited the measures
for the strongest line, that in the green. Before the recent
eclipse, the most accurate results came from the 1918 obser-
vations, by Campbell and Moore, and by Adams, St. John and
Miss Ware. Uncorrected for rotation (0.035 A), and cor-
rected (assuming the corona rotates at the same rate as the
photosphere ) , the values in international angstroms are given :
Uncorrected Corrected
Campbell and Moore 5302.83 5302.80
Adams, St. John and Ware 5303.02 5303.06
The difference in the corrected values is 0.26 A, while
the mean of the two measures is 5302.93. The mean value is
in excellent agreement with the 1930 result of 5302.91 A
from the measures by Mitchell of eight spectra. Six spectra
THE CORONA 375
at the 1930 eclipse give 6374.28 A, for the line discovered
at the 1914 eclipse.
It might be said that the corona exhibits three separate
spectra: first, the bright-line spectrum of " coronium " exist-
ing only in the inner corona and extending on the average to
about 5' or 200,000 km from the sun's edge; second, the con-
tinuous spectrum of the middle corona; and, third, the Fraun-
hofer lines showing feebly in the outer corona.
In the Revised Rowland Tables, page 226, 1928, is given
the list of bright lines attributed to the corona by Campbell
and Moore but revised to include1 the 1926 eclipse. In
Zeitschrijt fur Astrophysik, 2, 106, 1931, Grotrian gives the
results of the Potsdam expedition to Sumatra of May 9, 1929.
In the following table, the 1930 eclipse is also included.
After eliminating the lines due to the high chromosphere,
there are only eighteen lines out of forty which are now
believed to be truly coronal in origin, although a line or two
may still be suspicious. The first column gives the wave-
lengths in international units. Those at the top of the table,
given to two places of decimals, are from the 1926 eclipse
by Davidson and Stratton. The values of 5302.91 and
6374.28 are from the 1930 spectra. The line at 6704 was
discovered at the 1929 eclipse and verified by the 1926 eclipse
photographs. The line at 6776 announced by Mitchell at the
1930 eclipse needs to be verified. The intensities given in
the remaining columns are estimates where the strongest
lines, 3388 in the violet and 5303 in the green, are usually
assumed to be of intensity 20. The intensities given in the
table are those assigned by the observers except for the 1918
eclipse where Moore and Campbell's estimates are each mul-
tiplied by the factor 2 so that the line 5303 may have an
intensity 20. For the 1922 eclipse, the intensities have been
furnished by letter through the kindness of Moore. In the
second column an average intensity is assigned from the mean
of all the eclipses.
The intensities of the coronal lines in the table must be
considered to be on a relative scale and not absolute for the
1 Davidson and Stratton, Memoirs of the Royal Astronomical Society, 64, 105,
1927.
376
ECLIPSES OF THE SUN
reason that 5303 varies from eclipse to eclipse and is not con-
stant as was assumed in forming the tabular values.
Before taking up the striking differences in the intensities
from eclipse to eclipse shown by the table, one must consider
the factors upon which the coronal intensities depend. They
may be grouped under four heads: (i) color sensitivity of
the photographic plate, (2) the dispersion, (3) prism or grat-
ing, and (4) slit or slitless. The improvements in plates
in recent years, making them more sensitive at the red end,
are mainly responsible for the discovery of the lines in the
red. Prisms of glass absorb at the violet end of the spectrum ;
WAVE-LENGTHS AND INTENSITIES OF CORONIUM
Wave-
Length
I A.
Mean
In-
ten-
sity
Hills
and
New-
all,
i8g6
Fowler,
Shackle-
ton, and
Lockyer,
1898
Dyson
Mean
1900-
1901 -
1905
Lewis,
1908
Moore
and
("amp-
bell,
1918
Moore,
1922
David-
son
and
Strat-
ton,
1926
(iro-
trian,
1929
Mitchell
1905
IQ2S
1930
«28 .
8
8
^87 96..
20
12
30
20
20
20
20
20
3454 U
8
9
8
5
8
1C
5
6
3600.97..
10
IS
10
6
9
12
is
IS
^642 87..
3
2
5
4
3
\
t
4
3800 77
3
3
3
}
3
2
4
I
3
$
}
3986 88 .
8
5
5
3
4
2
4
10
S
8
4
8
4086 2Q .
6
6
2
2
8
6
4
6
42*1.4. •
8
10
5
5
8
6
s
10
8
6
6
6
43 1 1
2
2
i
2
i
4550
4
3
3
4
4
i
2
2
4567
4
8
3
6
2
6
3
4586
2
I
4
4
5H7
2
2
i
2
S
^02 91 .
20
8
1C
20
10
20
20
20
20
20
20
20
5536
I
2
2
6m 28
12
5
6
IS
IS
6704
2
4
gratings (of speculum metal) and the silver-on-glass re-
flectors absorb in the ultra-violet. Increase of dispersion
spreads the monochromatic images farther apart and weakens
the continuous spectrum, with the result that the emission
lines by contrast are easier to see on the photographs taken
with higher dispersion.
At the 1930 eclipse on Niuafoou there was a striking dif-
ference between the coronal spectra taken with the concave
gratings and with the prismatic camera of Dr. C. E. Adams
of the New Zealand expedition. The prismatic camera gave
a very brilliant spectrum — in fact, more brilliant than that
of either concave grating. Both forms of spectrographs were
THE CORONA 377
without slits. The dispersion of the gratings, however, was
ten times the average dispersion of the prismatic spectrum.
Many coronal rings were seen on the grating photographs,
the lines 5303 and 6374 being well visible even on the brief
exposure for the second flash. Oft the prismatic spectra, on
the contrary, the only coronal line visible on any of the photo-
graphs was 5303, and even this line was seen with great
difficulty. It is readily seen therefore that the dispersion
employed has a very important bearing on the intensities, and
hence any conclusions drawn from variations in intensities
between the lines of one eclipse and another have very little
meaning unless the instrumental conditions are fairly con-
stant.
The specially interesting features of the coronal spectra
of 1930 are the large dispersion and absence of slit. On the
photographs, the image of the sun is 14.5 mm in diameter and
the dispersion 10.9 angstroms per mm. All of the coronal
rings show much interesting detailed structure, but this is
specially true for the strong 5303 and 6374 rings. On the cuts,
facing page 372, the vertical line coincides approximately
with the axis of rotation of the sun. One can see at a glance
that if a slit had been used in 1930 passing radially through
the center of the sun, the intensity of 5303 (or 6374) would
have depended on the position angle of the slit. If placed
near the solar axis, the coronal lines would have been feeble
while if it had happened to pass over a more brilliant portion
(which could not have been told in advance) the intensity
would have been much greater. Hence, for discussing the
distribution of coronium about the sun, slitless spectra (if
obtained with large dispersion and good definition) are vastly
superior to spectra taken with a slit.
With these instrumental sources of variations in intensities
clearly in mind, let us look at the estimates of intensities in
the foregoing table. There are several striking peculiarities.
Many of these, and others, have already been noted by Camp-
bell and Moore. The most remarkable involves the line at
3601 A. It was not observed by any one until the eclipse
of 1908, in spite of the fact that it is one of the strongest lines
of the coronal spectrum and the quartz spectrographs were
378 ECLIPSES OF THE SUN
adequate to secure it. The photographs by Mitchell at the
three eclipses of 1905, 1925 and 1930 were all taken with the
same spectrograph. The plates of the three eclipses have
about the same sensitivity in the violet. No trace of 3601 is
found in 1905 although 3388 and 3454 farther to the violet
are strong lines. By way of contrast, in 1925 and 1930 the
line 3601 was very strong. (Other peculiarities of this line
will be referred to later.) Likewise, 4086 was not observed
before 1908. At the 1929 eclipse Grotrian reports three lines
missing, 3643, 4586 and 5536. The last line of the three
is the weakest of the whole coronium spectrum; it is, more-
over, near a Fe + line in the chromosphere of 5534.85 and
intensity 15 in the flash spectrum. Davidson and Stratton
ascribe this line to the corona. The first of the three lines at
3643 is on the average a fairly strong line. Mitchell could
not be sure of it from his 1925 spectra, however, though it
was well visible in 1905 and 1930.
One's first thought presented for an explanation of these
peculiarities is that the intensities vary, and, having settled
this to one's satisfaction, the next thing is to try and con-
nect the variation with the sun-spot cycle. There we strike
a snag. The years 1900 and 1901 had coronas of minimum
type while the 1905 eclipse was of maximum type, and yet
3601 was invisible in all three years and, moreover, it has
been a strong line in every eclipse without exception since
1908,
The first step towards finding the origin of the bright
lines in the corona evidently will be to explain the peculiari-
ties of intensities just noted by finding relationships between
the different lines. To this end, Stratton and Davidson '
summarize the similarities of coronal structure noted pre-
viously by others. Lockyer and Fowler place 4086, 4231,
4400, 4586 and 5303 in one group; 3801, 3987 and 4567 in
a second; and 4359 in a third. Campbell and Moore have
three groups: 3388, 3601 and 5303; 3801, 3987 and 4567;
and 4231 by itself in the third group. Davidson and Stratton
grouped 3388 with 3987; 3454 with 3643; and 3601 with
4086 and 5303. They further suggest that " 3643 should go
1 Observatory, 54, 197, 1931.
THE CORONA 379
with 3801 and 3987," thus making one group of 3388, 3454?
3643, 3801 and 3987.
The 1930 slitless spectra make it very plain that coronium
has a very uneven distribution at different position angles
surrounding the sun. The limitations of the spectra taken
with a slit are at once apparent. If the slit happens to fall
on an intense part of the coronal ring, then all lines belonging
to a group physically connected should be intensified to-
gether; but if the slit crosses a fainter stretch of the corona,
all lines of the group should be weakened together. Evi-
dently the comparisons of intensities of lines at one eclipse
with those at another (e.g., 1926 and 1929) may mean com-
paratively little, so much depends on the position angle of
the slit. Unfortunately, for the purpose of discussing groups,
most of the coronal spectra up to date have been taken with
a slit, and, moreover, it must not be overlooked that the slit-
less spectra obtained at early eclipses have left much to be
desired in the matter of definition.
As already noted, the line 3601 is remarkably peculiar,
missing in 1905 and very strong in both 1925 and 1930. In
the last two years, the lines are very intense on both limbs
of the sun but in a very restricted region near the sun's equa-
tor. The line 4086 resembles 3601 very closely, and un-
doubtedly these form a pair. With either one or the other of
these lines the following have been grouped: 3388, 4231,
4586 and 5303. No confirmation of this grouping is given
by the grating spectra.
Chief interest naturally centers in the green line at 530^.
The 1930 spectra, showing details that in shapes resemble
eruptive prominences, exhibit the identical details in the line
3388 but in much weaker intensity on account of absorption
by the speculum of the grating and the silver of the coelostat.
The 1905 coronal spectra likewise show structural details
similar in character in the two lines. It is interesting to find
the two strongest lines, 3388 and 5303, unquestionably form-
ing a pair. As already stated, 3601 and 4086 cannot be
grouped with this pair.
The lines 3454 and 3643 certainly do not form a pair, the
latter being missing on Grotrian's 1929 spectra while the
380 ECLIPSES OF THE SUN
former line is strong. Mitchell's 1925 spectra likewise show
3643 missing or doubtful. There seems little reason for
grouping 3643 with 3801 and 3987, as suggested by Stratton
and Davidson. If the three lines form a group, their relative
intensities must increase and decrease together in different
eclipses. The grating spectra and also those of Dyson and
of Lewis do not confirm this grouping.
All previous authorities have made a group of 3801, 3987
and 4567. The relative intensities of the three with prismatic
spectra have been observed as follows: (1896) 3, 5, 8;
(1898) 3, 5, 3; (1900, 1901, 1905, Dyson) 3, 5, 6; (1908)
37 4, invisible; (1926) i, 5, 3. The relative intensities vary
so enormously from eclipse to eclipse that it does not look rea-
sonable to combine all these or to place any combination of
these three lines into pairs. The conclusion is confirmed by
the slitless grating spectra. After examining all lines of the
corona there seem to be only two pairs of lines which appear
to show similarities in form, namely, 3388 and 5303, and
3601 and 4087.
All observers who have discussed slitless coronal spectra
have come to the conclusion that the green ring at 5303 is
weakest near the sun's axis and strongest in the sun-spot
zones. A summary of the information1 including the 1930
eclipse shows that the maximum intensity is always found
near prominences but does not necessarily coincide with the
prominences.
In comparing the images of 5303 and 6374 in the 1930
spectra, it was surprising to find how little they resembled
each other in their structural details of greatest strength and
how little either resembled the high-level lines of K and Ha
of the chromosphere. Some similarities can be detected
between the faint streamers in the lines 5303 and 6374 and
those in Marriott's direct photographs, but in the stronger
details few likenesses can be found. It was further found
that the radiation of 6374 always sticks close to the sun's
edge and is more concentrated and more uniform than 5303.
The details referred to above are found in the drawings re-
produced at pages 372 and 373. From these comparisons it
1 Astro physical Journal, 75, 21, 1932.
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THE CORONA 381
is evident that 5303 and 6374 cannot take their origin in the
same atom, or at least not in the same atom in the same state
of ionization.
On account of the apparent simplicity of the spectrum
of coronium, Nicholson, in 1911, began a number of investi-
gations of great interest, the results of which have appeared
in the Monthly Notices of the Royal Astronomical Society.
An attempt was made by him to connect the wave-lengths
by series relationships, and furthermore to find an explana-
tion for these series on the hypothesis that the spectral lines
took their origin in an atom consisting of a heavy nucleus
surrounded by negatively charged electrons. Nicholson's
work was the first attempt to explain spectral series by
means of Planck's quantum theory of radiation, according
to which interchange of energy between systems of a periodic
kind can take place only in certain definite amounts, or
quanta, determined by the frequencies of the systems. With
the enormous increase in knowledge of atomic structure in
the past twenty years, Nicholson's investigations have for
us now merely a historical or academic interest.
Pannekoek 1 has assumed that the coronal lines may be
due to Ca + -f . At present we know so little of the spectral
lines which take their origin in the singly-enhanced, doubly-
or triply-enhanced elements, that it is quite futile to guess
which of the many possible elements will give the particular
series of lines seen in the visible portion of the coronal spec-
trum. One guess is just about as good as another, and
therefore we shall refrain from hazarding a conjecture. The
only possible method of securing real progress is to improve
the observational data as much as possible.
Freeman " believes that argon is the cause of the coronal
lines. He finds coincidences in wave-lengths for two-thirds
of the forty lines in Campbell and Moore's list (1918).
Many of the lines identified by him are no longer regarded
as coronal in origin. Russell and Bowen 3 come to the con-
clusion " that the attribution of the coronal lines to argon
is without foundation." This is unquestionably another
1 B. A. N., 14, 1922. :{ A^tro physical Journal, 68, 177, 1928.
'2 Astrophysical Journal, 69, 179, 1929.
382 ECLIPSES OF THE SUN
case, so frequent in the history of astrophysics, of the identifi-
cation of origin from mere coincidences in wave-length.
Hylleraas L criticizes the suggestion by Rosenthal that the
coronal spectrum is due to helium, and finds there is no
quantitative agreement to support this theory.
Hopfield " finds in the laboratory spectrum of neutral oxy-
gen a line with wave-length 6374.29 and also two lines at
6300 and 6364 which agree in wave-length, within limits of
error, with unidentified lines in nebulae. Several workers
have produced the green auroral line at 5577 in the labora-
tory. There is a remarkable agreement in wave-length be-
tween the laboratory line and the coronal line at 6374.28.
More recently, de Bruin 3 calculated three additional lines
in the neutral oxygen spectrum with wave-lengths 5302.70,
6704.07 and 6775.90. He assumes that these coincide in
wave-length with coronal lines and hence concludes that " the
mysterious coronium turns out to be neutral oxygen/7 For
the 5303 line, the best value for the coronal wave-length
comes from taking the mean of the 1918 and 1930 eclipse re-
sults, which gives 5302.92; a difference too large to permit
identifying the oxygen wave-length with the coronal. Still
more recently, Frerichs and Dingle in Nature (129, 901,
1932) independently discuss de Bruin's work. The former
measures the wave-length 6374.292 for the oxygen line.
Both of these physicists come to the conclusion that de
Bruin's coincidences are merely accidental and that " the
great mystery of the coronal lines remains unsolved."
In addition to the bright line spectrum, the corona shows
a continuous spectrum in the inner corona, 8' or 10' deep,
with Fraunhofer absorption lines visible in the middle and
outer corona. The early observations seemed to indicate
that at sun-spot minimum the green coronium line was weak
and the Fraunhofer spectrum strong, while at sun-spot maxi-
mum the emission lines were stronger, and the dark lines
weaker. It is only recently that observers have recognized
that the presence of thin clouds at the time of the eclipse
may greatly affect the visibility of the Fraunhofer lines ob-
1 Zeit. fur Physik, 69, 361, 1931. ' 3 Nature, 129, 468, 1932.
- Physical Review, 37, 160, 1931.
THE CORONA 383
served in the corona. At the eclipse of 1901, photographed
by Perrine in Sumatra through thin clouds, the coronal spec-
trum showed Fraunhofer lines in the region corresponding
to the invisible moon! It is important, for testing various
theories of the corona, that the distance out from the sun at
which the absorption lines become invisible in the corona
should be determined by adequate photographs taken under
clear skies.
A great increase in our knowledge of the coronal spectrum
came as the result of the observations of the Lick Observa-
tory L at the Australian eclipse of September 21, 1922. On
account of the perfect weather conditions and long duration
of totality an opportunity was afforded for carrying out an
extensive program with exposures exceeding 5 minutes.
The spectra taken with each of the instruments of one-
prism dispersion exhibited the continuous spectrum and most
of the bright lines confined to a region 4' to 6' from the sun's
limb. The maximum was found for the green line with an
extension of 8' from the edge of the sun. The spectrum of
the outer corona seemed unquestionably to show the Fraun-
hofer lines which were specially visible to the violet of Hy
where the continuous spectrum was less intense. No trace
of the sky spectrum was found to exist beyond the limits of
the coronal spectrum. Since the sky was remarkably clear ,
without the slightest evidence of haze or clouds, it is manifest
that the Fraunhofer lines of the 1922 eclipse did not take
their origin by reflection in the earth's atmosphere. Moore's
observations in thus proving the Fraunhofer lines of the outer
corona are caused by the scattering of the sun's light by
some means in the corona are of the utmost importance in
advancing our knowledge of the perplexing solar aureole.
Comparisons of the measures of the lines of the coronal and
sky spectra at two points 20' east and 20' west of the sun's
limb showed that the coronal lines on both sides of the sun
were displaced to the red of the corresponding sky lines. The
amount of displacement corresponds to a velocity in the line
of sight away from the observer of 26 km per second. Since
the light observed was reflected sunlight, the measured radial
1 Moore, Publ. A. S. P., 35, 59, 1023.
384 ECLIPSES OF THE SUN
velocities supply evidence that the particles of the corona
at 20' from the sun's edge are moving away from the sun
with a speed of the order of 20 to 30 km per second.
It is highly probable that the relative intensities of the
emission lines of the corona vary with the sun-spot period,
though information on this point is very meager. It is dif-
ficult to compare spectra secured by different observers at
different eclipses using instruments of vastly differing re-
solving powers, especially since the coronal lines are so weak
and are seen projected on a background of continuous spec-
trum. Under these conditions, the intensities of the bright
line spectrum secured with low dispersion instruments will
obviously be less intense than for instruments of high dis-
persion.
The spectra secured with the slit spectrographs and also by
means of an instrument without slit seemed to prove conclu-
sively that the coronal emission lines in 1922 were much
fainter than those of the eclipse of 1918, also obtained by
the Lick-Crocker expedition. The corona of 1922 was of
the sun-spot minimum type. Hence, the suspicions of pre-
vious observers that the bright lines of the corona are fainter
at sun-spot minimum than they are at sun-spot maximum
seem to be completely confirmed.
Various observers have investigated the rotation of the
corona by measuring from spectra the Doppler effect of mo-
tion in the line of sight. It has been generally assumed that
the corona rotates with the sun, which is at a rate of 2.0 km
per second at the limb of the sun. A rotational speed of
this size corresponds to a shift in wave-length of the coro-
nium lines amounting to 0.035 A. And yet, the wave-lengths
for this line in 1918 by the Lick and Mt. Wilson observers,
each using an efficient instrument, differ by 0.2 A, or six
times the rotational shift! It is probably no very great ex-
aggeration to say that at the present time we know abso-
lutely nothing regarding the rotation of the corona. It is
not impossible that the wave-lengths of the lines 3388 and
5303 may be determined with greatly increased accuracy,
but these lines at best are faint, and the exposures available
are very short. The best method of determining the rota-
THE CORONA 385
tional speed will be unquestionably by securing as accurate
wave-lengths of these lines as possible, with the slit of the
spectograph stretching across the sun's eqtiator. If different
values of wave-length are obtained for east and west limbs,
thus indicating rotation, the observer should be very careful
that he has eliminated all possible instrumental sources. In
place of using the solar spectrum as a comparison, it is prob-
able that more accurate wave-lengths will be obtained by
using an artificial source, in the manner employed with
stellar spectra. The comparison spectrum could readily be
superposed on the black moon.
Wright and Curtis describe ] in detail their unsuccessful
attempts, made at the eclipses of 1923, 1925, 1926 and 1929,
to determine the rotation of the corona by the method ap-
plied to the Orion nebula by Buisson, Fabry and Bourget.
In spite of the pitifully small amount of time available
for the investigation of the spectrum of the corona, much
knowledge has been acquired; but, unfortunately, suspicion
has also been cast on some of the information we thought
was fully secured. A brief summary of what we now think
we know may not be out of place. Three types of spectra
must be distinguished: the continuous spectrum close to the
edge of the sun, the emission spectrum, and the Fraunhofer
spectrum. The coronal spectrum is now fully distinguished
from that of the chromosphere. The lines of calcium and
hydrogen, frequently photographed at mid-totality, do not
belong to the corona, but are caused by the light of the
chromosphere being diffused in the earth's atmosphere,
usually by thin clouds.
In order to ascertain the atomic origin of coronium, coro-
nal spectroscopic work needs more information about (i)
wave-lengths of greater precision, and (2 ) detection of simi-
larities in structure. To attain the highest accuracy in wave-
lengths a slit is desirable. The most useful form is a three-
prism spectrograph designed to gather as much light as
possible. To secure a wide range of wave-lengths, optical
parts of quartz are necessary. To detect similarities in the
structure of coronal lines slitless spectra are needed. All
1 Sprout Observatory Publications, No. n, 1930.
386 ECLIPSES OF THE SUN
coronal investigations require large dispersion in order to
increase the contrast between the bright-line coronal spec-
trum and the continuous spectrum. The great difficulty is
the pitifully small amount of light available together with
the short exposures permitted. Unfortunately, a slit cannot
be used with a concave grating — there is not enough light.
Without a slit there is little hope of finding detailed structure
in the coronal lines unless the sun is in an active condition.
Out of eight eclipses observed, the author has actually seen
seven coronas, the 1927 phenomenon being blotted out by
clouds. The corona that exhibited the most spectacular
beauty and made the most lasting impression was not the
first eclipse witnessed, that of 1900, but the eclipse of 1918.
This was the eclipse of pronounced color, the prominences
were large and brilliant. The contrast between the warm,
rosy color of the prominences and the pearly-white filmy
structure of the corona left a never-to-be-forgotten impres-
sion on the mind, that time can never efface. On account of
the greater number of prominences visible at sun-spot maxi-
mum, the eclipse near maximum provides a more wonderful
picture to the unaided eye than does the minimum type of
corona. The eclipse of 1927 therefore presented to those
fortunate enough to witness it, as gorgeous a spectacle as
that of the eclipse of 1842 (see p. 132 ) which aroused both
the populace and the astronomers to such a high pitch of
enthusiasm that every eclipse from that day to this has been
assiduously observed.
To observe and enjoy the beauty of the corona one needs
little but his own good eyes. A good pair of field glasses or
a small telescope will permit the study of the prominences or
of the details of the inner corona. Baily's beads, at the be-
ginning and at the end of totality can be more fully enjoyed
by the use of telescopic power. It should hardly be neces-
sary to add that one should protect the eyes from the glare
of the sun while the crescent sun is diminishing before the
advent of totality.
CHAPTER XXI
CORONAL THEORIES
AS THE Fraunhofer lines undoubtedly exist in the
spectrum of the outer corona, they must be caused by
the reflection of chromospheric light by matter exist-
ing in the corona in a finely-divided state. Fortunately, there
are methods available for testing the question of scattering
in the corona, namely, by observations for the determination
of the polarization of light. Since the eclipse of i860,1 when
Secchi and Prazmowski first took up the subject, polariza-
tion observations have found their place at almost every
total eclipse. At the beginning of the investigations, they
were carried out entirely by visual methods; but in a manner
similar to what has happened in other branches of astro-
nomical work, photographic observations have gradually
displaced visual ones, and as a consequence greater and
greater precision has been attained. The accurate determi-
nation of the percentage of polarized light has an important
bearing on the study of the distribution of matter in the
corona. To be of the greatest value, the polarization should
be known for different distances from the sun's limb.
In general, there are two different methods of analyzing
polarization; one is by the use of double-image prisms, the
other by means of plane mirrors. There are many varia-
tions of these methods possible. In 1900, Wood employed
a direct vision prism before the object-glass of a telescope,
the eye-piece containing a Savart plate and a Nicol prism.
This combination gave a continuous spectrum crossed by
very distinct diagonal interference bands, manifesting fairly
strong polarization estimated to equal between 10 and 15
percent. The character of the interference bands indicated
that the bright-line spectrum was not polarized, or in other
1 Comptes Rendus, 51, 195, 1860.
387
388 ECLIPSES OF THE SUN
words, that the light causing these lines was not reflected
sunlight. The appearance presented in the telescope how-
ever differed so materially l from what had been expected
that it took many of the precious seconds of totality for the
observer to readjust his ideas; and all the while he could not
help but feel that something radically wrong must have
happened to the apparatus. At the same eclipse, Dorsey 2
photographed the corona through a double-image prism in
the manner utilized by A. W. Wright in 1878. The method
gives two photographs of the corona on each plate; one
having cut out of it all the light polarized along the line
joining the two images, and the other all that polarized at
right angles to this direction. Hence, if the corona is
polarized radially or tangentially, one image will be deficient
in light along the diameter perpendicular to this direction.
Which image is deficient along the line joining the centers
of the two photographic images depends on the kind of
double-image prism used and whether the polarization is
radial or tangential. Dorsey also examined the corona
visually by a polarimeter consisting of a telescope in the
focal plane of which was placed a biquartz half an inch
square. The eye-piece contained a Nicol prism, and be-
tween the objective and the biquartz was a double pile of
plates. The conclusions were that the corona is polarized
radially, the visual observations giving the amount of eleven
per cent at a distance of 8' from the moon's limb, a value
agreeing well with Wright's 11.2 per cent found at f from
the moon's limb at the eclipse of 1878.
No attempt can be made to give here a complete account
of the numerous observations made at various eclipses to
determine the amount of polarization. Special mention,
however, should be made of the excellent work by Newall
and by Turner, each of whom has observed polarization
effects at several eclipses. In Lick Observatory Bulletin, 6,
1 66, 1911, R. K. Young discusses the measures of photo-
graphs secured by Perrine of the Lick Observatory at
eclipses of 1901, 1905 and 1908. At the Sumatra eclipse,
1 Publications of the U. S. Naval Observatory, 4, D 116, IQO$.
2 Publications of the U. S. Naval Observatory, 4, D 117, 1905.
THE CORONA PHOTOGRAPHED WITH POLARIZED LIGHT. LICK OBSERVATORY
EXPEDITION, JANUARY 3, 1908
Note the difference in the distribution of coronal light in the two photographs.
N
CURVES SHOWING INTENSITY OF LIGHT IN CORONA, AUGUST 21 , 1914
Measures by Bcrgstrand in units of stellar magnitude.
CORONAL THEORIES 389
the plates were secured by a double-image camera with the
prism set in succession at five different positions separated
by angles of a quarter of a right angle. At the two succeed-
ing eclipses, photographs were secured by the same double-
image camera and also by a reflecting polarigraph. This
latter consisted of three cameras with lenses of three inches
aperture and fifty inches focal length. In front of each of
two of the lenses was placed a glass reflector, so inclined
that the light from the corona was incident at the polarizing
angle, the planes of polarization of the two reflectors being
perpendicular to each other. The third camera was used
merely as a check. The measures showed that the polariza-
tion was radial and that the percentage of observed light
increased rapidly from the limb, reaching a maximum of
thirty-seven percent at 5' distance, and then diminished
slowly, being thirty-five percent at 9' from the limb. As-
suming the well-known law of the reflection and scattering
of light that it varies inversely as the fourth power of the
wave-length, the value of u per cent in the visual re-
gion 5600 A would correspond to 33 per cent in the photo-
graphic region 4270 A. A close accord is thus seen to exist
between the visual values obtained from the eclipses be-
fore 1901, and the photographic results from the three
eclipses of 1901, 1905 and 1908. In view of the very
great difference between the amounts of polarization in the
visual and photographic regions, it is highly desirable that
values in the visual region be obtained by photographic
methods by the use of a color filter and isochromatic plates.
In view of the experience of Wood at the eclipse of 1900,
it is urged that all observations in the future for polar-
ization effects be made photographically. Observations
might possibly still be made visually by experienced
observers, but such values should be looked upon merely
as checks on the more accurate photographic results. Ob-
servers should be most careful to know the amount of polar-
ization caused by the apparatus itself so as to eliminate
these effects from the total polarization observed during
the progress of the total eclipse. As is well known/ every
1 Wood, Astrophyskal Journal, 12, 283, 1900.
390 ECLIPSES OF THE SUN
form of apparatus that disperses light, at the same time po-
larizes it. A Rowland grating gives strongly polarized spec-
tra; and with prismatic spectra, as the dispersion is in-
creased by additional prisms, the polarization is likewise
increased by the new surfaces added.
At the eclipse of 1918, Lewis of the Lick Observatory
party, by means of two separate double-image cameras, se-
cured successful photographs in two different regions of the
spectrum by using blue and green color filters. The effect
for the blue was found to be greater than for the green.
Quantitative values for the amount of polarization could not
be furnished however for two reasons: first, the law of
diminution of the intensity of coronal radiation at different
distances out from the moon's limb is unknown; and second,
the effect on the corona, of polarization of the light of the
sky surrounding the corona, has not been fully investigated.
At the eclipse of 1905, Newall ' found that at a distance of
three-quarters of a degree from the center of the corona,
the strength of the Savart bands from the sky neutralized
those from the corona. This signifies that from the veil of
the illuminated sky between the observer and the corona
there came as much polarized light as from the corona three-
quarters of a degree from the center. Unquestionably, the
character and intensity of the atmospheric polarization vary
considerably at different eclipses, which of necessity are
observed under different conditions of clouds and moisture
in the terrestrial atmosphere. On account of the great in-
tensity of the corona close to the sun, for instance, at i'
from the limb, it is difficult to measure the intensity of the
darkening of the photographs and hence to evaluate the
amount of polarization so close to the edge of the sun.
Newall in 1901 obtained " quite marked polarization " at
i' from the limb. The Savart photographs for testing po-
larization seem to possess some advantages over the double-
image or reflection methods (see Newall, loc. cit.).
The only means of unravelling some of these puzzles
seems to lie in determining the law of change in the intensity
of the corona at different distances out from the limb of
i Monthly Notices, R. A. S., 66, 475, 1906.
CORONAL THEORIES 391
the sun. The law best known is that of Turner,1 as the re-
sult of photographs obtained in 1898, that the intensity of
the corona varies from the edge of the sun outwards in-
versely as the sixth power of the distance measured from the
center of the sun. At the eclipse of 1905, Schwarzschild L>
confirmed Turner's law, and this same eclipse, Graff d as-
sumed the correctness of this law to determine the law of
blackening of his photographic plates. But at this same
eclipse of 1905, Becker4 found the intensity of the corona
subject to a different law, that it varied inversely as the
fourth power of the distance counted from a point one-
seventh of a solar radius inside the edge of the sun. At the
eclipse of 1908 by means of measures carried out by the
bolometer, Abbot r> confirmed Becker's law rather than that
of Turner, while R. K. Young (loc. cit.) found an intensity
depending on the inverse sixth and eighth powers of the
distance measured from the center of the sun.
A very different law was found by Bergstrand in a very
important publication entitled " Etudes sur la distribution
de la lumiere dans la couronne solaire," Upsala, 1919. From
photographs secured at the eclipse of August 21, 1914, an
attempt was made to determine the relative intensity of
light distributed within the corona. The measurement of
the absolute intensity and the estimation of the total light
of the corona, compared for instance with that of the full
moon, did not form part of the program. The problem is
one of photometry, and for its solution can be brought the
vast experience gained by many years of investigation in
determining the magnitudes of the stars. Of the several
methods available, Bergstrand adopted the plan of employ-
ing twin photographic objectives, mounted equatorially in
such a manner that the two solar images could be impressed
upon one and the same photographic plate. On the day of
the eclipse the times of exposure of the two objectives were
1 Popular Astronomy, 14, 548, 1906.
2 Astron. Mitteil. zu Gottingen, 13, iqo6.
3 Astron. Abhandl. der Hamburger Sternw. in Bergedorf, j, i, 1913.
4 Memoirs, R. A. S., 57 and Phil. Trans. Roy. Soc. 207 A, 1908.
6 The Sun, 133, 1911.
392 ECLIPSES OF THE SUN
made identical, but the aperture of one of the objectives
was reduced by means of a suitable diaphragm to one-third
that of the other.
The intensity of the silver deposit measured on the plates
is the summation of two separate effects, one of which is
due to the corona itself while the other comes from the dif-
fuse light of the sky. Added to these two, there is in reality
a third effect found close to the moon's limb, that of a halo
caused by reflection from the glass-side of the plate of the
strong illumination of the inner corona. Fortunately, the
intensity of the corona could be separated from the two
other effects. The values thus secured do not in any man-
ner confirm Turner's law of the inverse sixth power nor yet
the law of Becker according to which the intensity varies in-
versely proportional to the fourth power. In fact, Bergstrand
finds that the intensities near the solar equator differ greatly
from those near the poles, the equatorial rays having an in-
tensity three times as great as the polar rays. The equa-
torial and polar intensities, however, can be brought into
relationship with each other in a very simple manner by
supposing that the corona is composed of two phenomena.
One of them, the " interior corona " exists exclusively in the
equatorial zone. In both of these phenomena, the intensity
of the light is inversely proportional to the square of the
distance measured from the edge of the sun, the intensity
of the " equatorial corona " being, however, about double
that of the " interior corona." On page 389 is given a curve
representing Bergstrand Js values. Measures were carried
out on solar radii separated from each other by 15°. Posi-
tion angles are designated from the north towards the east.
The intensity at a distance of one radius from the edge of
the sun is taken as unity, and values are represented in terms
of stellar magnitudes, where a difference of five magnitudes
represents a change of a hundred-fold intensity. The
strongest coronal rays at times depart sensibly from the
direction of the solar radius. This is shown by a jet which
leaves the sun at position angle 25° but which does not go
out radially and is found, in the external curves between
30° and 45°. Some of the most intense rays apparently
CORONAL THEORIES 393
do not take their origin from the edge of the sun but rather
from the front or back side of the solar disk. Moreover,
the structure of the corona is highly complicated, since the
distribution of jets is not uniformly distributed in all longi-
tudes and since they frequently depart sensibly from the
radial direction. On account of the greater strength of the
equatorial rays, it was possible for Bergstrand to observe
these rays on the photographic plates to a distance of ten
radii, or five solar diameters from the edge of the sun, before
they diminish in intensity to that of the diffuse sky light. In
the polar direction, equality was attained at a distance of
three and a half solar diameters.
Valuable observations were secured by photography at the
1925 eclipse1 by Pettit and Nicholson. They used a Ross
6-inch doublet of 1 5-foot focus fed by a coelostat. Exposures
were made in photographic light and also at wave-lengths
greater than 6100 A. Standard photometric squares were
impressed on each plate. The plates were mounted on a
turntable and measures were made by the Koch micropho-
tometer. Two corrections were applied to the measures, one
on account of general scattered sky light, when it was as-
sumed that the mean density of the plate at the four cor-
ners gave a measure of the sky illumination. The other cor-
rection was for halation and scattered coronal light. No
correction was applied for the polarization at the coelostat
mirror. Pettit and Nicholson find that their measures in the
photographic region confirm the inverse sixth power from the
center of the sun, while those in the visual region obey the in-
verse seventh power. However, the measured values both
in the photographic and visual regions more closely con-
form "' to the inverse fourth power measured from a point not
coinciding with the center of the sun. The 1925 photographs
were measured to a distance of three radii from the sun's
center while Bergstrand 's 1914 photographs were measured
to ten radii. Also at the 1925 eclipse, King and Miss Har-
wood 8 found that the intensity of coronal radiation at dis-
1 Astrophysical Journal, 62, 202, 1925.
2 Handbuch der Astro physik, 4, 333, 1929.
3 Harvard Circulars, 312, 1927.
394 ECLIPSES OF THE SUN
tances from the sun's limb greater than io'.$ follows the law
of inverse squares.
Following the eclipse of 1926, Stetson and Andrews ! dis-
cuss the measures made by different observers (including
themselves) and come to the conclusion that no single law
can express the brightness of the solar corona as a simple
function of the distances either from the limb or from the
sun's center. Within 2% radii of the center, the intensity
appears to decrease as the seventh power, from 2-\ to 3 radii
the inverse fourth power fits better, while further out the law
is the inverse square.
At the 1927 eclipse, Belanovsky and Perepelkin J secured
photographs through thin clouds which were measured by
the Hartmann microphotometer. From the measures, lines
of equal intensities, or isophotes, were drawn which showed
that the corona decreased in intensity according to power 2.7
with respect to distances taken near the edge of the sun.
At the 1929 eclipse, the German expedition secured ' ex-
cellent photographs with a horizontal camera of 28-foot focus
and with an astrographic telescope of i i-foot focus. A thor-
ough discussion has been made by von Kliiber. The photo-
graphs of both cameras were measured by the Hartmann
microphotometer and isophotes were drawn giving lines of
equal intensity in the corona. The astrographic plates show
that the corona decreases in intensity according to power 2.5
in units of distances from the edge of the sun. With the hori-
zontal camera, at the sun's poles the plates show that the
decrease in coronal intensity is according to the power 2.0,
while at the equator the exponent 2 .3 more correctly repre-
sents the observations. All of the 1929 measures together
are best represented by the inverse power 2 .4 times the dis-
tance from the sun's edge.
It is evident that our knowledge regarding the distribu-
tion of light within the corona is in a very unsatisfactory
state, since the law of the intensity has been found to be
inversely as the second, fourth, sixth or even eighth power
1 Astro physical Journal, 6g, 227, 1925
- Monthly Notices, R. A. S., 88, 740, 1928.
>A Zeit. fur Astrophysik, 2, 289; 3, 142, 1931.
CORONAL THEORIES ,'395
of the distance from the sun. It is consequently of great
importance that a well-devised form of apparatus be con-
structed for use at eclipses, and that photographs be secured
both in the violet and visual regions on a carefully prepared
plan at several future eclipses. The apparatus used by
Bergstrand seems to leave little room for improvement.
If the photographic plates secured at the eclipse could be
impressed by light from a standard source, and if in addition
photographs of the full moon were obtained, we should then
be in a position of having information additional to that
acquired during the progress of an eclipse. We need to
know whether the intensity of the distribution of light
within the corona follows the same law at every eclipse, or
whether this law varies according to the sun-spot period,
and we need to know the law both in the blue and yellow
regions. Many of the coronas have been observed through
clouds or haze, or with varying conditions of transparency.
Unfortunately it has not been possible to make proper al-
lowances for these varying factors with the result that the
observations are undoubtedly affected by systematic errors.
Not until we secure more and better standardized observa-
tions can we expect to advance much in the solution of coro-
nal problems.
In considering the measurements made for determining
the total light of the corona, we see similar evidences of large
systematic errors depending on transparency conditions at
the time of the eclipse. The following table is taken from
Handbuch der Astrophysik, 4, 336, 1929, and brought up to
date. The total light of the corona is expressed in terms of
the total light from the full moon.
The photographic determinations at the eclipse of 1886
and the two eclipses in 1889 give values that are apparently
too small, while one value in 1898 is too large. Giving half
weight to each of these four determinations, the weighted
mean shows the total light of the corona to possess 55 per
cent of the light of the full moon. Results from one ex-
pedition may be given here. Kunz and Stebbins observed
the 1918 eclipse with a potassium photo-electric cell. They
compared the light of the corona with a standard candle,
396
ECLIPSES OF THE SUN
TOTU. LIGHT OF THE CORONA
Eclipse
Method
Observer
In terms of
full moon
1886
Photographic
W, H. Pickering
0 025
1889, January
Holdcn
o 04
1889, December
Holden
0 02
i893
Turner
o b
1898
Turner
r i
1898
Bacon and Gare
2 7
1905
Graff
O 20
1905
Schwarzschild
o 17
1908
Pcrrinc
0 TI
1886
Visual
Abney and Thorpe
o 8
1889, January
Leuschner
o 4
i893
Abney and Thorpe
I 1
• 1905
Fabry
o 75
1905
Knopf
o 85
1908
Bolometer
Abbot
o 20
1918
Photo-Electric
Kunz and Stcbbins
o 50
1922
a
Briggs
o 41
1925
Microphotometer
Parkhurst
o 27
1925
Thermocouple
Petti t and Nicholson
o 52
1926
Thermopile
Stetson and Coblentz
o 52
with two electric lamps, with the full moon, and with an area
of the sky during totality and during full sunshine. Their
numerical results are as follows:
Observed total light of the corona 0.60 candle-meters
Same, corrected to outride of atmosphere i 07 candle-meters
Observed ratio of corona to full moon o 6
Same, corrected to outside of atmosphere 0.50
Observed ratio of corona to sky circle of diam-
eter one-half degree and 8° from uneclipsed sun 0.105
Same during totality 640.
The photo-electric cell with which these measures were
secured had a maximum sensibility at wave-length 4500 A
in the blue.
Further details about the earlier eclipses may be obtained
from Handbuch der Astrophysik. In order to illustrate the
inconsistencies in the best work along these lines, a few
words may be said about the more recent eclipses, begin-
ning with 1925. At this eclipse, Harvard Observatory occu-
pied four stations in order to measure the total light of the
corona by a photometer of " pinhole " type designed by
CORONAL THEORIES 397
King. It was found that the integrated brightness within
a circle 3° in diameter, given in stellar magnitudes, is:
photographic -10.96, photovisual — 11.61; within a cir-
cle 6° in diameter the values are -11.40 and -11.71, re-
spectively. After eliminating the effect of the illuminated
sky, the stellar magnitude of the corona is: photographic
- 10.76, photovisual - 11.57. With one of these photome-
ters at the 1926 eclipse, Stetson and his co-workers ob-
tained conflicting results in the circles 3° and 6° in diameter;
but the measures seemed to show that the corona was 40
per cent brighter in 1926 than in 1925.
It is interesting also to compare the measures of the total
illumination of corona plus sky. In 1925 the horizontal illu-
mination was 0.24 foot-candles, or equal to the total in-
tensity 30 minutes after sunset; in 1926, measures by the
Macbeth illuminometer gave 0.14 foot-candles; in 1929, a
value 0.15 and 1930 (Niuafoou Island) 0.38 foot-candles.
The measures on the three last eclipses were carried out by
Stetson's instruments. The above measures seem to show
that although the 1926 corona was 40 per cent brighter than
that of 1925, the total illumination of corona and sky to-
gether was 40 per cent fainter.
Another instance of the uncertainties underlying meas-
ures of coronal radiation was shown at the 1926 eclipse.
With the photographic photometer it was found that the
total brightness of the corona was but one-tenth that of
corona plus sky as measured with the illuminometer.
At the eclipse of 1918, Aldrich1 found that the total
brightness of the sky during totality was less than that of
twilight one hour after sunset of the same day. At the
Australian eclipse of 1922, Ross directed a camera, from
which the lenses had been removed, toward the south
celestial pole and exposed a photographic plate during to-
tality. Other plates from the same box were exposed on
the evening of the same day for equal intervals of time at
6:14, 6:17, 6:20, 6:23 and 6:26 by the clock. The central
portions of the plate were cut out and all six plates were
developed together. The plates showed a regular gradation,
1 Smithsonian Miscellaneous Collections, 60, No. 9, 1919.
398 ECLIPSES OF THE SUN
It was found that the illumination at the south celestial pole
corresponded with that when the sun's center was 97° 29'
from the zenith.
It is evident from the above summaries of measures that
our present knowledge regarding the total amount of light
received from the corona is in a very unsatisfactory state.
Photometric methods present many complications. When
results at one eclipse are compared with those of another,
the instruments must be thoroughly calibrated and methods
properly standardized before we can have any confidence in
the conclusions. To obtain the total light of the corona, it
is necessary to extrapolate to the edge of the moon and even
to the edge of the sun. Unfortunately we seem to have little
sound information about the law of intensity in the corona
close to the sun's edge. The greatest difficulty of all is that
the corona perforce must be observed through clouds and
haze at half the eclipses where the corona is at all visible
and through varying transparencies at the other half. Up
to the present we know of no adequate methods of making
proper allowance for varying atmospheric conditions. Tak-
ing everything into consideration, it seems highly probable
that the accidental and systematic errors existing in meas-
ures of coronal radiation certainly amount to 20 per cent,
and possibly 50 per cent, of the final values. Roughly
speaking, the total light of the corona is one-half that of the
full moon and one-millionth that of the noon-day sun.
Hence we must not take too seriously the attempts to cor-
relate intensity of coronal radiation with sun-spot activity.
It will be necessary to await more accurate observations of
the future. It seems entirely probable that the inner corona
at sun-spot maximum must be brighter than at sun-spot
minimum. Moreover, as the inner corona contributes the
most energy to the total coronal radiation we would there-
fore logically expect that the total energy at maximum of
spots is greater than at minimum. But to confirm this from
observations already secured is another story. When we
consider the total amount of time available for coronal in-
vestigations, we must not be too discouraged with the re-
sults obtained to date.
CORONAL THEORIES 399
In former chapters it has been shown that for half a
century it has been recognized that there is a close connec-
tion between the shape of the corona and the sun-spot cycle.
At. minimum of spots the corona shows the long equatorial
extensions and the strong polar brushes, while at spot maxi-
mum the corona is more nearly circular in outline. The first
to call attention to this was Ranyard in 1879 in the " Eclipse
Volume " of the Royal Astronomical Society. In 1897, Han-
sky made the connection more certain by publishing a series
of reproductions of the corona arranged according to the
sun-spot curve.
In Handbuch der Astrophysik, 4, 317, 1929, there is stated
the general problem. For the past forty years, since accu-
rate photographs became available, the dates of maxima and
minima of spots have been as follows:
Maximum Minimum
1893.6
1901.7
1905.6
1913.6
1917.6
1923,6
1928.5
The eclipses of the past decade have been beautifully
situated with respect to the spot cycle. The eclipse of 1922
took place shortly before minimum of spots, that of 1923
almost exactly at minimum. A year and a half after mini-
mum came the 1925 eclipse, while those of 1926 and 1927
were just before and 1929 and 1930 just after maximum.
The information on the activity of the sun, as recorded
in the sun-spot cycle, comes, as the name signifies, from
observations on spots, their Zurich relative numbers, the
Greenwich means areas, the latitude of spots, etc. Similarly
observations made on prominences, give also the number,
mean areas, mean latitude, etc. The sun-spot and prominence
curves closely parallel each other. In a sense, the informa-
tion from prominences supplements that from spots in that
the spots are phenomena observed on the face of the sun while
the prominences are photographed only at the sun's limb.
400 ECXIPSES OF THE SUN
To observe spots a moderate equipment, merely a tele-
scope, is all that is necessary. The activity of the sun
manifesting itself in spots can be observed as the spot moves
across the face of the sun; measurements of polarity, etc.,
continued from day to day, give a fairly faithful indication of
the relative activity of the sun. In comparison, the promi-
nences are transitory phenomena. Even if individual promi-
nences were more permanent than they are, the rotation of
the sun would carry them quickly out of sight. Occasionally
when a total eclipse comes, the direct photographs of promi-
nences and the eclipse spectra can be compared with spec-
troheliograph photographs. Then we see the limitations of
the latter method. The eclipse photographs on October 21,
1930, showed the sun with a very stormy region in the south-
east quadrant, while the Mt. Wilson spectroheliogram taken
only a few hours earlier showed nothing particularly re-
markable about the activity in this quadrant. Unless the
prominence exhibits both height and contrast, through masses
of gases in eruption, it is usually not a conspicuous object
on the spectroheliograph plates. Hence, all things consid-
ered, it has been generally felt by the average astrono-
mer that the information from spots gives a more reliable
indication of the activity of the sun than is obtainable
from observations of prominences. As already stated,
however, the two types of observation supplement each
other.
When attempts are made to find correlations between
coronal disturbances and either spots or prominences, it is
evident that many more connections must always be found
between prominences and coronal structure than between
spots and corona. The spots are seen on the face of the sun
while both the corona and prominences stretch out from the
edge of the sun. It must not be thought that there must be
a more intimate connection between prominences and coronal
activity than there is between sun-spots and coronal disturb-
ances. The eclipse photographs show prominences and dis-
turbed regions in the corona but from the nature of things
cannot show spots. Unless the eclipse astronomer observes
the spots on the final days before the eclipse — and he is
THE INNER CORONA IN 1926
Photographed with the 63 -foot tower telescope by the Swarthmore College Expedition.
CORONAL THEORIES 401
usually too busy with a thousand and one preparations that
must be made — or unless he looks up the literature after-
wards (and this is rarely done), the possible connections
between individual spots and coronal disturbances pass un-
noticed.
Ludendorff has done a valuable piece of work in providing
a simple method of measuring the shape of the corona. He
had the happy inspiration of utilizing the published photo-
graphs and half-tone reproductions to draw roughly by eye
lines of equal intensities (isophotes) in the corona. In some
instances, isophotes were already available in the original
sources, especially in the corona of 1905 from the investi-
gations of Graff and in that of 1914 from the hands of
Bergstrand. Comparisons of the results from Ludendorff 's
tracings with the more accurate methods of Graff and Berg-
strand showed no systematic differences. From all of the
tracings of each eclipse, two quantities a and b, were deter-
mined by the method of least squares. The value a is the
ellipticity of the corona at the edge of the sun, while a + b
is the ellipticity at a distance of one radius out from the
sun's edge. From the examination of thirteen eclipses be-
tween 1893 and 1927, Ludendorff found that the quantity a
was nearly constant for all eclipses. On the contrary, the
value b varied. For the coronas near sun-spot maximum,
the value of b is very nearly zero, the corona being approxi-
mately circular in outline. Near minimum of spots, how-
ever, b has increased in value, the corona being more
elliptical.
Mitchell has found a closer connection between the coro-
nal shape and sun-spot numbers than there is with the
phase in the spot cycle measured from the time elapsed
from minimum or maximum of spots. The table in Hand-
buck der Astrophysik, 4, 338, 1929, is here extended to in-
clude the eclipses of 1922, 1929, and 1930. The values from
the 1929 eclipse are from isophotes discussed by von Kliiber
(loc. cit.}. Photographs of the 1922 eclipse were kindly sent
me by Moore, and of the October, 1930 eclipse by Marriott.
The measures of both eclipses (following Ludendorff 's
methods) were made by Miss Williams.
402
ECLIPSES OF THE SUN
SPOTS DECREASING
SPOTS INCREASING
Eclipse
Spot
Numbers
a
b
Eclipse
Spot
Numbers
a
i $93 3
88
o 03
0
1926 o
77
o 06
o
igi8 4
69
o 13
O IO
1927 5
67
o 04
o
1929 3
59
0 10
0 02
1905 7
59
0 01
o
1908 o
45
o 06
O O2
1030 8
35
o 04
o 23
i8g8 i
27
o 06
O 12
1896 6
22
o 03
o 23
1901 4
1 1
o 04
o 26
1923 7
n
o 06
0
IQOO 4
9
o 03
o 29
1914 6
9
o 05
0
1925 i
8
o 05
0
1922 7
6
o 04
o 24
o 03*
or
oo
oo
18
16
10
* All values of a and 6 are positive except b of the 1893 eclipse
On the left side of the table are the eclipses between
maximum and minimum of spots, or on the descending
branch of the sun-spot curve, while on the right hand are
the eclipses after minimum with spots increasing in numbers.
One should read down on the left and then up on the right
side with spots increasing. Instead of arranging the ma-
terial according to the phase in the spot cycle, as was done
by Ludendorff, it has been arranged according to the mean
of the spot numbers in a synodic month of the sun's rota-
tion, i.e., the mean of 13 days before and after the eclipse,
also the day of the eclipse itself. It might be added that
von Kliiber, from isophotes drawn from microphotometer
measures of the 1926 eclipse, obtained + 0.05 and +0.02
for a and b respectively, in excellent agreement with Luden-
dorff's rougher measures.
Bergstrand * also takes Ludendorff 's figures and applies a
correction to the values of the isophotes in polar regions to
allow for the effect of equatorial and mid-latitude streamers
being superposed over polar rifts. He finds a correlation
with sun-spot numbers but a closer connection with promi-
nences in high latitude zones.
Lockyer z makes a very valuable compilation by collecting
1 Arkiv. Mat. Astr. octi Physik. A, 22, No. i, 1930.
- Monthly Notices, R. A. S. 91, 797, 1931.
CORONAL THEORIES 403
into one diagram, beginning with the year 1860, information
regarding sun-spots, prominences and coronal shapes.
On account of the connection between coronal and other
solar disturbances, already alluded to, and on account of the
fact that prominences are much more widely distributed in
heliographic latitudes than are spots, it is not surprising that
Lockyer finds a close connection between the shape of the
corona and prominences, the maximum type of corona oc-
curring when prominences are near the sun's poles.
The quantities a and b in the table are exceedingly inter-
esting. The mean of all 16 values of a is 0.05. The only
eclipse with outstanding values, that of 1918, is explained in
Handbuch der Astrophysik.
The three eclipses 1900, 1901 and 1922 took place on the
average 0.9 years before the time of minimum of spots.
Each of these eclipses showed the typical " minimum " co-
rona; the mean value of b is 0.26. On the other hand, the
three eclipses of 1914, 1923 and 1925 took place the same
interval (0.9 years) after spot minimum, and yet the coronas
had lost their minimum characteristics, b having the mean
value 0.15. The three eclipses 1896, 1898 and 1930 took
place about four years before minimum of spots. The mean
value of b amounting to 0.19 is greater in size than that at
a time less than one year after minimum. Hence, it is evi-
dent that two years before spots and prominences are at a
minimum, the corona takes on the " minimum " shape.
With the recent spot maximum occurring at 1928.5, the
eclipses of 1926, 1927 and 1929 were all " maximum-type "
or circular coronas. The 1926 eclipse took place 2^ years
before spot maximum. It would seem also that the " maxi-
mum " type of corona takes place two years before maximum
of spots. The greatest surprise in the whole of the tabular
values is for the eclipse of October, 1930. Taking place a
year and a half after the 1929 eclipse and only a little more
than two years after maximum of spots and probably four
years before the next minimum, the value of b was approxi-
mately equal to that of a minimum-type of eclipse.
Bernheimer l agrees with the writer that the minimum
1 Meddel. Ltinds Astron. Obs.f Ser. I, No. 126, 1931.
404 ECLIPSES OF THE SUN
type of corona takes place before minimum of spots. He
also finds that the coronal shapes are more closely connected
with sun-spot numbers than with the phase in the spot cycle.
After observations of sun-spots during three hundred years
we are forced to the conclusion that the n-year curve must
be regarded as quite erratic. The solar activity from num-
bers and areas of spots, or from frequency and areas of
prominences, gives us curves which are similar but are not
identical. Other closely allied curves, such as terrestrial mag-
netic phenomena, at times depart from the general run of
the spot and prominence curves. In spite of numberless
investigations, it is still unsafe (see p. 120) to predict, even
a few years in advance, what the sun-spot cycle is going to
do. Recognizing these limitations, or in other words, realiz-
ing that the sun has sporadic and unexpected bursts of ac-
tivity, it is well not to make too great claims for the de-
pendence of anything on the sun-spot curve.
The corona takes its shape primarily from the lengths and
position angles of the longest streamers. The eclipse of
1930 showed that the longest streamer was connected with
solar activity that had persisted for several days. Hence it
appears certain that the corona can have no constant shape
and that no doubt it varies from day to day depending on
whether the active solar areas are near the sun's limb when
only they could give an effect projected on the sky back-
ground. The corona we happen to see or to photograph
during the few fleeting seconds of totality is a temporary
phenomenon which will subject itself to exact analysis with
great reluctance.
In spite of all that is said above, the author is going to be
rash enough to predict that the 1932 corona, two years be-
fore the expected minimum of spots, will show the minimum
type of corona with long equatorial streamers and strong
polar brushes.
When we attempt to solve the enigma of the corona, we
are face to face with one of the most difficult problems in
the whole realm of astronomy.
First of all, the corona is not an atmosphere of the sun
consisting of atoms and molecules attracted by gravity. But
CORONAL THEORIES 405
gravity on the sun is 2 7 times more powerful than the value
on the earth, while the corona has been observed to the
enormous distance of ten million miles from the surface of
the sun. Thus it is easy to see that if the corona were
truly atmospheric in its nature, the resulting pressure would
be colossal. The chromosphere is indeed the solar atmos-
phere, not one of oxygen and nitrogen as on the earth, but
of the gases found to exist in the flash spectrum, each heated
to high temperatures due to their proximity to the sun, and
yet the pressure at the base of the chromosphere is much
less than one-thousandth of the earth's pressure at sea-
level.
In the forceful words of Simon Newcomb1 we may re-
mind the reader that " the great comet of 1843 passed with-
in three or four minutes of the surface of the sun, and there-
fore directly through the midst of the corona. At the time
of nearest approach its velocity was 350 miles per second,
and it went with nearly this velocity through at least 300,000
miles of corona, coming out without having suffered any
visible damage or retardation. To form an idea of what
would have become of it had it encountered the rarest con-
ceivable atmosphere, we have only to reflect that shooting
stars are instantly and completely vaporized by the heat
caused by their encounter with our atmosphere at heights
of from 50 to 100 miles; that is, at a height where the at-
mosphere entirely ceases to reflect the light of the sun. The
velocity of shooting stars is from 20 to 40 miles per second.
Remembering, now, that resistance and heat increase at
least as the square of the velocity, what would be the fate
of a body, or a collection of bodies like a comet, passing
through several hundred thousand miles of the rarest at-
mosphere at a rate of over 300 miles a second? And how
rare must such an atmosphere be, when the comet passes
not only without destruction, but without losing any sensible
velocity? Certainly so rare as to be entirely invisible, and
incapable of producing any physical effect.'' Other comets,
the great comet of 1882 for instance, have almost grazed
the sun's surface.
1 Popular Astronomy, 265, sixth edition, 1887.
406 ECLIPSES OF THE SUN
Any adequate theory of the corona must be capable of
explaining1 the following facts:
1. The total brightness of the corona is very small, being
about one-half that of full moon and one-millionth that of
the sun. Half of the total light comes from a zone extending
only 3' from the limb of the sun.
2. Its spectrum shows the bright emission lines of co-
ronium extending to a maximum distance of 8', and also a
continuous spectrum in the inner corona and Fraunhofer
lines in the middle and outer corona.
3. The emission lines of the spectrum are fainter at mini-
mum of spots than at maximum.
4. The emission spectrum due to " coronium " contrib-
utes only a small fraction of the total energy of coronal
light. The predominant part lies in the continuous spec-
trum. The distribution of energy in this continuous spec-
trum differs little from that of the sun.
5. Polarization is a maximum at a distance of about 5'
from the sun's limb, and it diminishes more rapidly towards
the sun than away from it.
6. Matter of any kind so close to the sun must be very
hot and must reflect and scatter the solar rays.
7. According to the observations of Abbot, the coronal
materials are deficient in heat rays.
8. If the sizes of the coronal particles change in diameter
at different distances from the sun's limb, a corresponding
change in color of the corona would result. No change in
color is noticeable.
9. The internal motions in the corona are very small.
10. The sun exhibits a magnetic field.
11. According to Bergstrand, the intensity of the corona
varies inversely as the square of the distances from the sun's
surface. Other authorities derive the inverse fourth, sixth,
seventh or eighth powers.
12. It is necessary to explain the changing form of the
corona with variation in the sun-spot period.
In the bright inner corona is found the emission spectrum
1 See also Abbot, Smithsonian Misc. Collections, 52, 31, 1908, and Lick Ob-
servatory Bulletin, 5, 15, 1908,
CORONAL THEORIES 407
of coronium and a strong continuous spectrum. In the less
intense outer corona, the Fraunhofer lines are seen. In the
inner corona, due to proximity to the sun's surface, are
found temperatures approximating those in the photosphere.
On account of minute pressures existing in the corona, the
atoms may readily lose one, two, or more external electrons.
The long free paths permitted by these small pressures
cause conditions that cannot be approximated in our terres-
trial laboratories. Unfortunately, due to the paucity of light
and the small amount of time available for investigations,
coronal wave-lengths are much less accurately determined
than those of the nebulae. The source of the coronium
lines will unquestionably be found among the elements in
the top part of the periodic table. The " coronium " prob-
lem will be more difficult than that of " nebulium."
As the coronium emission constitutes a very small part of
the total energy found in the corona, it may practically be
left out of consideration in attempting to find a theory to
explain the radiation of the corona. Any adequate theory
must give solutions to the following problems: (i) What is
the cause of the strong continuous spectrum of the inner
corona, and ( 2 ) What is the explanation of the Fraunhofer
spectrum in the outer corona?
The first theory of the corona to be propounded was the
one, so very popular at the time and thought to be capable
of explaining away most of the astronomical problems —
the meteoric hypothesis. In virtue of this theory, the corona
is nothing more nor less than the trails of myriads of meteors
as they fall into the sun. Even at the time1 a great au-
thority on meteors, Newton of Yale, pointed out that the
details observed in the corona were " inconsistent with any
conceivable arrangement of meteoroids in the vicinity of the
sun." The hypothesis was such an artificial one and had
so little to commend itself that it is surprising that it found
such a large place in astronomical literature — but then we
must not forget that very little was known concerning the
corona.
Schaeberle's mechanical theory of the corona has much
1 Nature, Sept. 30, 1866.
408 ECLIPSES OF THE SUN
more to recommend it — but it too does not seem to have
been able to bear the test of time, at least not in its original
form. By virtue of this theory, the corona is caused by
light emitted and reflected from streams of matter ejected
from the sun by forces acting along lines normal to the sur-
face of the sun. The forces are most active near the center
of the sun-spot zones, and consequently, are confined almost
wholly to the equatorial regions. Hence, as a result of this
theory, the rays seen around the poles of the sun can have no
existence, except that of streamers from the equatorial re-
gions seen projected by perspective above and below the
poles. In order that the force of ejection may be suffi-
ciently great to overcome the attraction of gravitation, it
was necessary to ascribe to the materials forming the longest
rays initial velocities as large as 400 miles per second. While
velocities of this size are not impossible on the sun, the truth
of the matter is that no such motions have ever been discov-
ered in the corona. Hence it is necessary to discard the
theory or to modify it in some essential details. Moreover,
" according as the observer is above, below, or in the plane
of the sun's equator, the perspective overlapping and inter-
lacing of the streamers cause the apparent variations in the
type of the corona." This explanation might satisfy an
annual variation (which is not known to exist), but fails to
account for the change in form coincident with the eleven-
year sun-spot period.
There are, unquestionably, many forces acting on the co-
ronal materials repelling the particles away from the sun
in opposition to gravitation, and as these forces have been
considered one by one, different coronal theories have been
propounded. In 1885 the " electrical theory " was announced
by Huggins.1 The eclipse of 1889, of the minimum sun-spot
type, having exhibited strong polar rays much resembling
the lines of force about a magnet, Bigelow L> brought forward
the " magnetic theory/' and Ebert 3 the " electro-magnetic
theory." Bigelow's theory is very successful in explain-
1 Proc. Royal Society, 39, 108, 1885.
2 The Solar Corona discussed by Spherical Harmonics, 1889.
3 Astronomy and Astrophysics, 12, 804, 1893.
CORONAL THEORIES 409
ing the details of the minimum type, but not so fortunate
with the other forms of corona. The recent investigations
at Mt. Wilson have shown that a magnetic field does exist
around the sun, as demanded by Bigelow's theory.
Great have been the claims of the exponents of the " ra-
diation-pressure theory " not only for explaining the details
of the corona, but also for furnishing a rational elucidation
of why comets' tails always point away from the sun, and
what causes the aurora borealis, zodiacal light, etc. That
a ray of light exerts a pressure on any surface on which it
impinges comes as a direct result of the Electro-magnetic
Theory of Light published in 1873 by Clerk Maxwell1 and,
as was shown by Bartolr in 1876, can be deduced from
the second law of thermodynamics.
Since the light-pressure depends directly on the intensity
of the sun's radiation, which decreases inversely as the
square of the distance, as is also the case with gravity, the
ratio of pressure to weight is therefore a constant independ-
ent of the distance from the sun. The manner in which
this ratio is found was first shown by Bessel 3 in 1836, who
computed the magnitude of the repulsive force from the
curvature of the tail of the comet in 1811. Bredichin,4
more recently, from measures of many comets' tails, has
found them to be of four different types, in which the re-
pulsive forces are respectively 18.5, 3.2, 2.0, and 1.5 times
the attraction of gravity; the straight tail, according to his
ideas, consisting of hydrogen, the plume-like tail of hydro-
carbons, and the short stubby one of metallic vapors, chief
among which are iron and sodium. The electrical force, on
which Bredichin explains his repulsions, has been shown by
Lebedew 5 not to have a sound physical basis.
This objection cannot be raised to the principle of Ar-
rhenius. That light actually exerts a pressure has been
shown by Lebedew,6 and Nichols and Hull 7 ; the latter, in-
1 Electricity and Magnetism, 792.
- // Nuovo Cimento, 15, 195, 1883.
3 A. N., 13, 185, 1836.
4 Annales de VObservatoire de Moscou, (2), i, 45, 1886.
r> Astrophysical Journal, 16, 155, 1902.
6 Annalen der Physik, (4), 6, 433, 1901; Astrophysical Journal, 15, 60, 1902.
7 Physical Review, 13, 307, 1901; Astrophysical Journal, 15, 62, 1902.
410 ECLIPSES OF THE SUN
deed, have succeeded l in producing a laboratory comet's
tail, although, as pointed out by them, other forces than
light-pressure probably helped to give the repulsion.
However, a rigid application of the theory of Maxwell
is possible only when the body acted upon is large compared
with the vibrations of light itself. When the body is of a
size approximating the wave-length of light, Schwarzschild "
has shown that the maximum value of the repulsive force is
about twenty times the attraction of gravity.
Undoubtedly, the radiation-pressure theory has been of
the very greatest assistance in dealing with the corona, for
the reason that it provides us with a knowledge of an addi-
tional force acting in a direction in opposition to gravitation.
Miller has published a series of excellent papers 3 enquiring
into the question whether the coronal streamers exist in
accordance with a modified Schaeberle mechanical theory,
that their motions are produced by ejection, by the rotation
of the sun, by the attraction of the sun and by the radiant
pressure of the sun. For the purpose of the investigation,
Miller examined the excellent series of photographs of the
corona obtained by the Lick Observatory expeditions from
1893 to 1918, inclusive, also plates secured by himself in
1905 and 1918, and Lowell photographs taken in 1918.
The conclusions drawn are that the force of repulsion is
surprisingly large, being almost equal to the attraction of
gravitation, and as a result, it is unnecessary to assume the
very large velocities of Schaeberle's original theory. The
facts accumulated seem to be in fairly satisfactory accord
with the theory of Arrhenius expressed as follows: * " It
is very probable that those drops, for which gravitation
is just compensated by the pressure of radiation, will be the
chief material of the inner corona. For drops of other sizes
are selected out, the heavier ones by falling back to the
sun, the lighter ones by being drawn away by the pressure
1 Astro physical Journal, 17, 352, 1903.
2 Sitzungsberichte der math.-phys. Classe der k. b. Akademie der Wissen-
schaften zu Munchen, 31, 293, 1901.
3 Astrophysical Journal, 27, 286, 1908; and 33, 303, 1911; and also Publ. A.
S. P., 32, 207, 1920.
4 Lick Observatory Bulletin 3 i, 152, 1902.
CORONAL THEORIES 411
of radiation, so that just those drops which, so to say, swim
under the equal influence of gravitation and pressure of
radiation will accumulate in the corona."
By properly choosing his mathematical constants, it was
possible for Miller to reproduce each and every coronal
streamer so far discovered on eclipse photographs, even those
streamers found near the sun's poles. Hence, the mechanical
theory supplemented by that of radiation pressure seems to
have solved many of the perplexing questions regarding the
corona, but there are still many difficulties to be surmounted
before we can feel ourselves on thoroughly sure ground. It is
unquestionably necessary to take into consideration mag-
netic and electric forces. Like radiation pressure and gravi-
tation, these forces modify the other effects in a quantitative
manner.1
That matter can exist in the finely divided state required
by the theory of Arrhenius was shown 2 by " the eruption
of Krakatoa, which drove the fine ashes up to an eleva-
tion of 30 km ( 1 8 miles ) . The finest particles of these ashes
were slowly carried by the winds to all parts of the earth,
where they caused, during the following two years, the mag-
nificent sunrises and sunsets which were spoken of as ' the
red glows/ This glow was also observed in Europe after
the eruption of Mount Pelee. The dust of Krakatoa further
supplied the material for the so-called £ luminous clouds of
the night/ which were seen in the years 1883 to 1892 float-
ing at an elevation of 80 km (50 miles), and hence illumi-
nated by the light of the sun long after sunset."
If the temperature of the inner corona is approximately
5000° C, it is quite difficult to see, as was pointed out by
Abbot;" how matter can exist in the solid or liquid state
or how the dust-particles of the inner corona can be " drops
of liquid metal." 4 Another criticism of almost insurmount-
able character is that voiced by Eddington.5 Owing to the
fact that conditions in close proximity of the sun cannot
1 See Pringsheim, Physik der Sonne, 330, 1910.
- Worlds in the Making, 7.
:t Lick Observatory Bulletin, 5, 20, 1908.
4 Ibid., 2, 1 88, 1904.
5 Monthly Notices, R. A. S., 80, 723, 1920.
412 ECLIPSES OF THE SUN
be duplicated in the laboratory, we are ignorant of the true
laws of radiation-pressure, which may have " encouraged
quite exaggerated ideas of the possible effects of radiation-
pressure.'' The " upper limit " to its power of supporting
or driving out matter has been calculated by Eddington,
and has been found to be equivalent to a pressure of 2 dynes
per sq. cm. This can be likened to a wind of this strength,
and the exact effect of any material will depend on its power
of absorption — of stopping the wind instead of letting it
blow through. Allowing an ample margin for uncertainties
of observation, Eddington calculates that the " pressures
of radiation cannot carry a total weight of more than a milli-
gram per sq. cm." Applied to the chromosphere, the den-
sity is found to be of the approximate size of io~12, a quantity
which indeed appears so absurdly small that it seems to
contradict all our ideas concerning prominences. The den-
sity of the corona and in comets' tails on the same hypothesis
is a thousand times smaller, or icr1 '.
Apparently therefore, the radiation-pressure theory is not
entirely free from perplexities, but these difficulties may not
be entirely insurmountable. Before further progress is made
we must ascertain, by observational means, the size and
the number of particles per unit volume forming the corona
at different distances from the sun, and also the tempera-
tures according to the Stefan and Wien-Planck formulas.
The luminosity of the bright inner corona is caused by par-
ticles which are heated to incandescence by solar radiation
and which scatter sunlight, the particles being subject to
gravitation, to radiation pressure and to electromagnetic
forces largely unknown. Owing to their proximity to the sun,
these particles cannot be in the solid or liquid condition
and must therefore exist in the gaseous state. The mole-
cules of the coronal gases strongly illuminated by sunlight
probably act like the fine particles of a fog in scattering light.
According to Fabry/ the part of the luminosity of the corona
which gives the continuous spectrum may be due to this
diffusion and not to reflection by small particles. As the
result of some experiments on the diffusion of light by air,
1 Observatory, 41, 211, 1918.
CORONAL THEORIES 413
Fabry estimated that a truly gaseous corona having a
density only one-thousandth-millionth that of air at at-
mospheric pressure would scatter sufficient sunlight to ac-
count for the luminosity of the corona, and the polarization
effects which have been observed. The explanation by
Fabry has very much to commend it, but it is very much
to be doubted whether it is based on sufficient experimen-
tal evidence. Moreover, it is difficult to see why the light
of the corona, if caused by molecular scattering, is white in
color and not blue like the sky.
Since the heavenly bodies, the sun, the stars, nebulae,
etc., are bodies at high temperatures radiating energy, a
knowledge of radiation laws is of vital importance to the
solution of astronomical problems. Unfortunately until re-
cently, little was known of these laws, but with the advent
of the Bohr atom and Saha's theory of ionization, but spe-
cially on account of the enormous activity in the past decade
in investigating problems of radiation, we have already made
many discoveries and many more are to follow.
Saha's theory of ionization (see Chapter XVII) has al-
ready been very successful in interpreting the importance of
enhanced lines in the flash spectrum and in furnishing an
adequate explanation of the differences between the Fraun-
hofer spectrum, the sun-spot spectrum and the chromo-
spheric spectrum. Cannot this same theory be expanded
so as to furnish an adequate explanation of the cause of radia-
tion in the corona?
It has been very difficult to understand the process where-
by the coronal particles are enabled to emit light at the very
great distances of ten million miles from the surface of the
sun, under conditions of very low pressure and very long
mean free path. But the corona is an appendage of the sun,
and somehow or other (we have never realized just how) it
may be possible for the corona to borrow some of its radiation
from the sun. But how about a body like the Orion nebula?
It gives a bright-line spectrum. Are astronomers to keep on
saying, as they have for a number of years, that the Orion
nebula emits light because the kinetic energy causes the
particles to be heated and that the luminosity is wholly the
414 ECLIPSES OF THE SUN
result of heat? It is excessively difficult to imagine a body
of such vast dimensions heated to luminosity but yet sur-
rounded by the intense cold of inter-stellar space. Ap-
parently some cause other than that of temperature must be
sought.
In studying the problem of galactic nebulae, Hubble1
comes to the conclusion that their luminosity is derived from
the radiation from stars in the vicinity. If this were a
simple case of reflected starlight, the spectra of the nebula
would agree exactly with the spectra of the associated stars ;
but such is found not to be always the case. Hubble re-
marks, " It is doubtful whether or not a mass of diffuse
nebulosity isolated in space and with no stars involved could
hold together and at the same time shine by light generated
by collisions of molecules. At temperatures corresponding
to intensity-distribution or width of lines in nebular spectra,
the average speeds of the molecules would be so high com-
pared with the velocities of escape that the nebulosities
would probably dissipate rapidly. On the other hand, if
molecular speeds were sufficiently small to admit of cohesion
in the mass, the nebulosity would probably be too cold to
radiate light. This argument suggests that diffuse nebu-
losity is not intrinsically luminous, but is rendered so by
external causes."
If it is possible to discover the mechanism whereby the
nebulae are rendered luminous, the same mechanism will
probably explain the cause of the coronal radiation. The
fact must not be overlooked that each and every star has
a corona surrounding it, but these coronas can never be
rendered visible to astronomers since the total light of each
corona must be comparatively feeble compared with the
luminosity of the sun which it surrounds. Milne 2 has shown
that the light of the corona can have no sensible effect in
modifying the spectrum of the sun.
The mechanism for explaining the radiation of corona
and nebulae unquestionably is found in the electron. The
sun and the stars are vast radiating spheres at very high
1 Mt. Wilson Contributions, No. 241, 1922.
2 Phil. Trans. Roy. Soc'y, A, 223, 201, 1922.
CORONAL THEORIES 415
temperatures, and from each of these suns, billions of elec-
trons are shot off every second of time. The number of the
electrons emitted depends on the intensity of the radiation
while the energy of the electrons depends primarily on the
temperature. The energy of the electrons will carry them
to the greatest distances from the radiating body in the case
of the very hottest stars.
Schwarzschild proposes a theory with attractive possi-
bilities, namely, that the corona consists of " electron-gas,"
that is, a gas of very long mean free path which is capable
of reflecting and polarizing light. But as Schwarzschild has
pointed out, the electrons, each of which carries a unit
negative electric charge, must require an equally large posi-
tive charge on the surface of the sun; this causing such a
strong electrical field that even the fastest moving electrons
would be stopped at distances less than a millimeter. In
consequence, the corona could have but little extension.
Quite independently, Mitchell (2d ed., p. 356) comes to the
conclusion that the radiation of the outer corona is caused
by electrons. Ludendorff attempts to get rid of the great
electrostatic charges required by the electron-gas theory by
assuming that atoms carrying positive charges must be
mixed with the free electrons.
In a series of excellent articles,1 Wilhelm Anderson reviews
the various coronal theories. He accepts the electron-
gas theory. After making certain plausible assumptions con-
cerning conditions that exist in the corona, he calculates, on
the basis of convective equilibrium, the effective molecular
weight of the coronal material, and he finds a good agree-
ment with the atomic weight of the electron. The thermal
radiation of the inner corona is naturally greatest near the
solar surface, so, likewise, is the intensity of the light of the
photosphere reflected by the electrons. Anderson takes
the three laws of intensities of radiation in the corona, the
inverse sixth, fourth and square, and he finds a good agree-
ment between the two latter at a distance of 0.28 solar radii.
On the assumption that at this distance the diffuse reflected
light has 38 per cent of the intensity of the total illumina-
1 Zeits. jur Physik, (4), 33, 1925.
416 ECLIPSES OF THE SUN
tion, he calculates the results from theory and finds a good
agreement with the fourth-power law close to the sun, but
at greater distances out a better agreement with the inverse-
square law.
It therefore seems to be quite probable that the coronal
radiation takes its origin in the electron, the energy coming
from two separate causes: (i) from thermal radiation re-
sulting from collisions, and (2) by reflection and scattering
of the photospheric light. The first effect is visible only in
the inner corona, while the second manifests itself both in
the inner and the outer corona.
In quite similar manner, Zanstra 1 has made an applica-
tion of the quantum theory to explain the luminosity of
diffuse nebulae. The nebula appears to have little radiant
energy of its own, but borrows or takes energy from the star
(or stars), the electron being the medium for the transfer
of energy. Bowen ~ explains the spectrum of nebulium as
the result of the long mean free paths of the electrons, the
jumps being " forbidden " under laboratory conditions.
Hence, it seems to be definitely proven that both the solar
corona and the nebulae are rendered visible as the result of
the action of the electrons. Whatever the exact mechanism
may be, both the number of electrons and their intensities of
emission depend on the temperatures of the stars. Accord-
ing to the investigations of Eddington and Milne, radiation
pressure greatly assists in the discharge of electrons.
It is unnecessary to assume with Schwarzschild that the
corona consists almost exclusively of electron-gas. Zanstra
made no such assumption in explaining the radiation in nebu-
lae. In the inner corona is found the emission spectrum due
to coronium. This radiation can be caused only by the colli-
sions of electrons. But colliding with what? Evidently
with protons and with atoms which have lost one, two, or
more external electrons. Above the i4,ooo-km level reached
by the highest lines of the chromosphere, there are unques-
tionably other ions reaching far greater heights but whose
radiations give no light in the visible spectrum but are found
1 As trophy steal Journal, 65, 50, 1927.
2 Ibid., 67, i, 1928.
CORONAL THEORIES 417
in the ultra-violet beyond the reach of spectroscopic investi-
gations. Coronium atoms have been detected to distances
twenty times greater than the highest in the chromosphere.
Hence, in the inner corona it is necessary to assume ionized
atoms and protons. These are most numerous near the solar
surface. They thin out rapidly in the inner corona and few
of them are found in the outer corona. In the outer corona
there can be relatively few ionized atoms, and hence the
outer corona is visible mainly as the result of scattering of
the photospheric light by the electron.
Regarding the shape of the corona, we must recall that
near sun-spot minimum the spots in the dying cycle are near
the solar equator while those awakening into life are at
higher latitudes. Hence when the sun is quiescent, the effect
will be that of very long streamers going out in straight lines,
the maximum lengths being attained not at the equator but
at the higher latitudes of the awakening spot zone, a fact
already noticed by Campbell. A spot on the sun, or an
active prominence, may be a local center of activity on the
sun, with the result that coronal streamers or hoods sur-
rounding the prominences may result. Since the field
strength in spots is far greater than that of the sun as a whole,
the comparative inactivity of the sun at its poles is exhibited
by the short polar brushes. Even before passing the epoch
of minimum of spots, the sun takes on new energy, and hence
electrons are discharged with increasing strength in regions
not necessarily limited to the solar equator. Consequently,
the corona takes on first a rectangular shape, and then a con-
tour more and more circular as the time of sun-spot maxi-
mum is approached. Owing to the greater average vigor of
electronic discharge at sun-spot maximum, there should be a
greater intensity of the emission lines of coronium than at
minimum of spots; and this is found actually to be the case.
After passing through the minimum of spots, the awakened
solar activity shows itself in three different portions of the
sun: (i) In the photosphere, the increased radiation causes
spots to appear. (2) In the chromosphere, the increased ra-
diation carries the elements of medium height to greater aver-
age elevations. (3) In the corona, the increased radiation
418 ECLIPSES OF THE SUN
causes an increase in strength of the emission lines of coro-
nium and also makes the corona lose the shape associated
with minimum of spots, of long equatorial extensions and
short polar brushes.
According to the recent work of many investigators, there
is some doubt existing as to whether the atmospheres of stars
are in thermodynamic equilibrium. If they are not, then
the result will be that the theoretical conclusions now ( 1932 )
believed to be true must probably be modified in essential
details. Furthermore, as conditions existing in the sun can-
not be approximated in laboratory experiments, little is
actually known of the exact physical laws involving the dis-
charge of electrons from the sun or those underlying radia-
tion pressure at the solar surface. It seems almost useless
to test any theory from laboratory experience.
It is now more than fifty years since the first attempt was
made by Huggins to photograph the corona in full sunshine.
The authority of his name, great in the annals of spectros-
copy, gave a degree of plausibility to the problem. The
task to be overcome is to separate the light of the corona
from the strong illumination of the sky. The chief names
connected with this work are those of Hale, Ricco, Des-
landres, Wood and Hansky. It was natural that the meth-
ods so successful in photographing the prominences should
be first tried, and, in order that the atmospheric glare might
be reduced as much as possible, the observations were made
from mountain tops, Pike's Peak and Mt. Etna being oc-
cupied for this purpose. No success being secured, a series
of attempts were made by heat-measuring instruments like
bolometers or thermopiles. Photographic methods, of using
color filters and plates sensitive to different parts of the spec-
trum, have been thoroughly tested. Since the Great War,
when such noted success was attained in airplane photog-
raphy by using plates sensitive to the deep red, attempts were
revived on the corona. Lindemann had found it possible to
photograph stars of the first magnitude near the sun. Each
and every one of the plans, however, at times carried out with
great skill and ingenuity, have always ended in the same
manner — failure to photograph the corona in full daylight.
CORONAL THEORIES 419
The observations by Abbot in 1908 and those by Kunz and
Stebbins in 1918 have shown the cause of the failures, namely ,
the intrinsic feebleness of the corona. Even in the brightest
parts, the inner corona is no brighter than the surface of the
full moon, which has a brilliancy six-hundred-thousand times
less than the sun. The corona is about equal to the intensity
of the illuminated sky at eight or ten degrees distant from
the sun, but close to the sun's edge the light of our central
luminary is so overpowering that it appears indeed well-
nigh impossible to photograph the corona in full daylight.
In view of the above conclusions, it is interesting to read
of the recent work 1 of Lyot of the Meudon Observatory. At
the summit of the Pic du Midi, at an altitude of 2800 meters,
he used a telescope stopped down, and with a disk in the
focal plane extending 30" beyond the sun's edge. Observ-
ing directly with an eyepiece, he saw rose-colored promi-
nences. Setting the slit of a spectrograph close to the limb,
he was able to see and to photograph the 5303 and 6374
coronal lines, superposed on the Fraunhofer spectrum. Po-
lariscopic observations were made and direct photographs
were obtained which resembled in appearance the inner co-
rona. It is surprising to find success where others had failed.
The work is beset with such great observational difficulties
that future researches will be followed with the greatest of
interest.
The past decades have been golden years for the progress
of astronomy, particularly on account of the attack on
atomic structure by the astronomer, physicist and chemist,
combined. The importance of the electron has thus been
recognized. The theory of ionization which has already been
so successful in furnishing an explanation for many of the
difficulties connected with the flash spectrum, the chromo-
sphere and sun-spots is but a branch of a larger theory of
photo-electricity dealing with the production of light by the
passage of electricity through gases. Photo-electric action
involves both ionization and radiation. When an electron
strikes an atom and a transfer of energy takes place, there
may be complete ionization, as shown by the production of
1 Comptes Rendus, 191, 834, 1930; and 193, 1169, 1931.
420 ECLIPSES OF THE SUN
positive and negative ions, or there may be partial ionization,
that is, a disturbance of an atom which is not detectable as
ionization but is shown by the production of radiation. Both
radiation and ionization are caused by the action of electrons
in their bombardment of atoms. The fundamental basis as-
sumed for Saha's remarkable theory is that the electrons obey
the same laws as gases, or, in other words, that they have the
same physical properties as the atoms.
Moreover, recent work in astrophysics has demonstrated
conclusively that the source of energy is found in the electron,
that even mass itself has its origin in the electron. Edding-
ton has shown that the stars are all slowly losing mass, for
the reason that radiation is energy, the dissipation of energy
means the discharge of electrons, which is synonymous with
saying a diminution of mass. Consequently the sun and stars
are continually losing mass by the discharge of electrons.
Hence it is inevitable, as a result of this theory, that unless
energy is being created — possibly by cosmic rays — the end
of the universe may be foreseen.
It is unfortunate that the corona can be investigated only
at the rare occasions of total eclipses and that an individual,
no matter what his enthusiasm or skill, will have during his
whole lifetime less than one hour within which to make all of
his observations of the corona. In the immediate future,
total eclipse expeditions mean long trips from home to loca-
tions where there is little reason to expect good atmospheric
conditions; hence progress in knowledge concerning the co-
rona promises to be very slow.
CHAPTER XXII
THE EINSTEIN THEORY OF RELATIVITY
EINSTEIN'S theory of gravitation has been justly re-
garded as the greatest triumph of mathematical
reasoning that has taken place since the time of
Newton. It is safe to say that no scientific achievement of
recent years has aroused so much popular interest and en-
thusiasm as that evoked by the verification of the Einstein
prediction from observations made at the total eclipse of
May 29, 1919.
The first step in any scientific investigation is to get at
the facts, derived from observation usually by a series of
measurements. Great precision, patience and care are
necessary to enable the observer to record the true facts
devoid of any inferences or illusions of the mind. Lord
Kelvin has said that, " Nearly all of the greatest discoveries
of science have been but the rewards of accurate measure-
ment and patient, long-continued labor in the minute sift-
ing of numerical results." After the observations'. have been
secured, they are classified and analyzed and tested to see
whether they will conform to some known law. The laws
of nature differ greatly from human or civil laws since the
former must be universally true and must apply under all
conditions. If a law of nature is found to be deficient, even
in some minor detail, it must be revised to satisfy the con-
ditions, or, if this is impossible, then the law must be dis-
carded.
The grandest and best known natural law is that of
gravitation discovered by the great Newton. Its importance
lies primarily in the fact that it applies to all bodies, it is
universal. In the two and a half centuries that have elapsed
since the falling of the apple, the law of gravitation has
experienced one grand triumph after another, with the in-
421
422 ECLIPSES OF THE SUN
evitable result that we have come to look upon this law as
practically infallible. Other laws may come and go and be
revised into changed form, and go on again to be again and
again revised, but the law of gravitation has stood firm
without change, with the enunciation of its principle in the
same form as when handed to us by Newton. Every body
in the universe attracts every other body in the universe
with a force that is proportional to the product of the masses
and inversely to the square of the distances apart.
And now we are told that the law of gravitation must
be discarded, that space is curved and that we live in a
world of four dimensions. The mind reels, and refuses
to be convinced. Common sense tells us, we say, and
the experience of the ages has proven, that space has but
three dimensions, length, breadth and thickness, so why
say such an apparently foolish thing that time, which we
know has nothing to do with space, must be considered as
a fourth dimension? The average man of intelligence im-
mediately calls to mind some of the properties of the mathe-
matician's space of four dimensions, — a man enclosed in
a steel-proof vault, if living in a four-dimensional space,
could get outside of the vault without passing through any
of the walls. One smiles incredulously, and thinks of a re-
mark by Bertrand Russell that " mathematics may be de-
fined as the subject in which we never know what we are
talking about, nor whether what we are saying is true."
Is the theory of relativity of Einstein an unreality in the
brain of the mathematician, or must we accept it as true
and believe in a four-dimensional space? If the Einstein
theory is accepted, then as an important consequence the
law of gravitation must be revised, there is no middle course.
The new theory states that there is no " force " of gravita-
tion, for this " force " is but one of the inherent properties
of four-dimensional space. To decide which of the two
conflicting hypotheses best represents the law of gravitation,
Newton's or Einstein's, we shall have to pass in review the
salient facts. Science desires the simplest explanation.
Einstein's own conception of the law of gravitation, as ex-
pressed in the New York Times is, " Please imagine the
EINSTEIN THEORY OF RELATIVITY 423
earth removed, and in its place suspended a box as big as
a room or a whole house, and inside a man naturally float-
ing in the center, there being no force whatever pulling him.
Imagine further, the box being, by a rope or other con-
trivance, suddenly jerked to one side, which is scientifically
termed ' difform motion,' as opposed to ' uniform motion.'
The person would then naturally reach the bottom on the
opposite side. The result would consequently be the same
as if he obeyed Newton's law of gravitation, while, in fact,
there is no gravitation exerted whatever, which proves that
difform motion will in every case produce the same effects
as gravitation.
" I have applied this new idea to every kind of difform
motion and have thus developed mathematical formulas
which I am convinced give more precise results than those
based on Newton's theory. Newton's formulas, however,
are such close approximations that it was difficult to find
by observation any obvious disagreement with experience."
Does this theory of Einstein concerning a man falling from
the top of a step-ladder to the floor of a room really furnish
a simpler explanation than the classical law of falling bodies
of Newton? If it does, then a very radical change in our
modes of thought must take place.
History shows that the present is not the first time that
the perfect science of astronomy has been forced to change
its point of view. In the early days of civilization it was
believed that the earth was flat, — and this notion is still
not quite eradicated from human thought. Later was
evolved the theory that the earth was the center of the
universe and about it revolved the sun, moon, planets and
stars. The mechanism required by the Ptolemaic system
to explain the motions of the heavenly bodies by cycles and
epicycles was such a cumbrous one, that it led to a remark
by a former king of Spain that if he had been present at
Creation he could have furnished the Creator with some
very valuable suggestions. The work of Copernicus, Tycho,
Kepler, Galileo and Newton revolutionized scientific thought,
and as a result the earth was displaced from her important
position as the center of the universe. Although the geo-
424 ECLIPSES OF THE SUN
centric point of view is still retained in some of our scien-
tific explanations, we realize that the sun is the center of
our system, with the earth occupying no more exalted a
position than that of being but one of the planets. The
Newtonian mechanism reduced celestial motions to the
greatest simplicity. In obedience to the law of gravitation,
every planet describes a perfect ellipse about the sun as
focus, and these elliptical orbits would repeat themselves
indefinitely were it not for the gravitational forces arising
from the other planets. After allowing for all of the
planetary disturbances, or " perturbations/' Newcomb found
that the orbit of the innermost planet Mercury was rotating
in its own plane at the rate of 42 seconds of arc per century
in excess of that required by the traditional theory. Vari-
ous attempts were made to explain away this discrepancy
in the motion of Mercury — by assuming a planet or planets
inside the orbit of Mercury, or outside of its orbit, by postu-
lating a belt of matter in a flattened disk or series of ellipses
surrounding the sun, or by presupposing that the sun has an
oblateness of shape and distribution of mass different from
that usually taken for granted — but all to no avail. In
every case, the assumption of mass required to produce the
observed effect on Mercury would have caused disturbances
not observed in the other planets. The solution of the
problem came only with the theory of relativity which fur-
nished a motion of the perihelion of Mercury of 43 " per
century, in almost exact agreement with the observed dis-
crepancy. And so, when in addition, the observations of the
1919 total eclipse gave deflections in accordance with the
Einstein prediction, the confirmation of the theory of rela-
tivity seemed almost complete.
Newton's law, however, is not invalidated by the latest
discoveries but rather is supplemented by them. It is pos-
sible in very few instances, and as the result only of the
most refined measurements, to be able to detect the differ-
ence in observed effect between the Einstein and the New-
tonian laws. In addition to his great work on gravitation,
Newton proposed an erroneous theory of light. According
to this theory, light consists of minute corpuscles expelled
CANADIAN PHOTOGRAPHS, AUSTRALIA, SEPTEMBER 21, 1922
Upper Pair: Exposures 10 sec. (left) and 20 sec. (right).
Lower pair: Through Nicol prism turned 90° between exposures, each of 5 sec.
EINSTEIN THEORY OF RELATIVITY 425
from a luminous source with high velocities. In the estima-
tion of Kayser,1 " Newton's errors impeded science even to
the middle of the nineteenth century." It was not until
the observations of Hooke, Huyghens, Young and Fresnel
showed the corpuscular theory to be untenable that the
wave theory was finally established. But how do the waves
of light travel from the sun to the earth? It was necessary
for the physicist to invent some material medium for their
propagation, and hence the existence of an imponderable
and universal " ether " was devised. With the discovery
of the laws of electromagnetism, it was shown by Maxwell
that electromagnetic disturbances also were propagated with
the speed of light, and the conclusion was drawn that light
itself must be electromagnetic in character. Additional
functions were imposed by physicists upon the universal
medium with the result that Maxwell and Kelvin were able
to make estimates of the density and rigidity of the ether
with almost as much assurance as if they had been dealing
with perceptible matter. (More recent researches have
shown that not only is light electrical in nature but so also
is mass and energy.)
Lis;ht and all electromagnetic manifestations were believed
to be actions taking place in the all-pervading ether. Light
from the distant stars reaches us in the form of wave mo-
tions in the ether, and it has been necessary to assume that
the sea of ether between us and the distant stars is un-
broken. Moreover, in order to account for astronomical
aberration and other phenomena, it was proven beyond doubt
that the ether must necessarily be at rest, that it pervades
everything but that it is not dragged about by ponderable
material. Since motions of all kinds are relative in their
nature, it was of the utmost importance to theories of physics
that a state of absolute rest should exist in nature and
this appeared to be found in the condition of the ether.
Accordingly, attempts were made to detect the drift of the
earth through the motionless ether. In 1887, the first ex-
perimental determination was carried out by Michelson.
The same experiment was later repeated by Michelson and
1 Handbuch der Spectroscopie, i, 5, 1900.
426 ECLIPSES OF THE SUN
Morley, by Morley and Miller, and quite recently by Miller
alone. This experiment has been described so frequently
that it will be unnecessary here to go into details. The
velocity of light was known to be, in round numbers, 186,000
miles per second, and this was supposed to represent the
velocity of the wave motion through the ether. The velocity
of the earth in its orbit is 18 miles per second, and hence if
the ether is stationary with respect to the sun, the drift of
the earth through the ether should be at this speed. Ac-
cordingly, if a beam of light reaches the terrestrial observer
in the direction of the earth's motion, it will be traveling
with respect to and overtaking the earth at a speed of
185,982 miles per second, while if the beam of light comes
in the opposite direction its velocity with respect to the
observer will be 186,018 miles per second. Although it is
impossible to measure the velocity of light along a single
straight course with sufficient precision to compare the two
velocities above, nevertheless these velocities can be com-
pared by a differential method. This was accomplished by
the Michelson-Morley experiment. This consisted in di-
viding a beam of light by means of an unsilvered mirror,
allowing each half of the beam to travel the same distance
in directions perpendicular to each other, and then reflecting
the two beams back to the same point at which they were
originally separated, and then recombining them. It is evi-
dent that on account of the motion of the earth, the path
through the ether of the half beam which is traveling paral-
lel to the direction of the earth's orbital motion must be
slightly longer than the other half of the beam. Conse-
quently, when the two halves of the beam are reunited, the
waves of light should be a little out of phase. By turning
the apparatus through a right angle, a check is obtained on
the equality of the distances traversed by the two beams.
The precision of the experiment was so great that it should
have been possible to detect the drift of the earth through
the ether equal to one-tenth of its orbital velocity about
the sun. But no effect whatever was detected and there
was no indication that the earth was moving at all through
the ether.
EINSTEIN THEORY OF RELATIVITY 427
The most obvious explanation of the failure of the
Michelson-Morley experiment to detect the drift of the
earth is that the ether is stationary with respect to the earth,
or is carried along by it. But if we admit this possibility,
we are in a quandary to explain the aberration of light from
the stars. Everyone is familiar with the fact that on a rainy
day when there is no wind the rain falls vertically, and to
keep dry, when standing still, it is necessary to hold an um-
brella over one's head. If the holder of the umbrella starts to
walk he tilts the umbrella forward in the direction of his mo-
tion, for experience has told him that only by so doing can he
keep dry. The faster he walks the more the»umbrella is tilted
forward. This is a simple case of relative motion. So when
a telescope is pointed in the direction of a star, the telescope
tube must be tilted forward by an appreciable angle so that
the rays from the star may pass down the tube to the eye
of the observer. The angle through which the telescope has
to be inclined is known as the angle of aberration. This
angle was discovered by Bradley in 1728. Its value is
2o"47. On account of the great precision of modern astro-
nomical measurements this angle is considered large.
But how explain the Michelson-Morley paradox that the
earth must be drifting through the ether while at the same
time the effect of this drift has never been detected? Ap-
parently there is no way out of the dilemma but that our
ideas must in some manner be revised. In 1893, a satis-
factory explanation was offered by Fitzgerald, and in 1895
independently by Lorentz, that the negative result of this
experiment becomes quite intelligible if it is assumed that
when a body is in motion through the ether its dimensions
in the direction of motion become slightly shorter than when
it is at rest. This would indeed seem to be a strange and
a highly arbitrary hypothesis if unsupported by other scien-
tific evidence. The work of Lorentz and Larmor on the
electromagnetic theory showed that it was necessary to as-
sume that a body when in motion does actually contract
by just the amount demanded by Fitzgerald's explanation.
If this hypothesis is true, then as a result we are inevitably
forced to the conclusion that time also must be measured in
428 ECLIPSES OF THE SUN
a different manner for an observer at rest and for one in
motion. The Fitzgerald contraction is not merely an
idle arbitrary speculation, but after repeated experiments
it has been shown to be true and mathematically exact in
the well-known laws of electromagnetic forces.
The amount of contraction depends on the velocities,
and in the majority of the cases of our experience, or
for average velocities, is excessively minute. In the case
of the earth the contraction is only one part in 200,000,000,
which corresponds to a contraction of 2^ inches in the
earth's diameter in the direction* of its motion. The
Michelson-Morley experiment therefore failed to detect
the motion through the ether for the simple reason that
the dimensions of the apparatus were actually automatically
contracted by an amount just sufficient to compensate for
the effect sought. Other ingenious experiments, electrical
and optical, were tried for the purpose of detecting the drift
through the ether, but always with the same result. There
thus appears to be a " conspiracy " among the various
agencies at work to prevent man from measuring his motion
through space.
In 1905, Einstein published his restricted Principle of
Relativity that " it is of necessity impossible to determine
absolute motion by any experiment whatever." According
to Einstein, all motion is relative, and no experiment can
be possibly devised so as to decide which of two systems
is at rest and which in motion. It is therefore impossible
by any experiment to detect uniform motion with respect
to the ether. Hence the assumption of the ether, brought
into physical science for no other purpose than to explain
the propagation of light, becomes entirely unnecessary. If
the ether has no position whatever in space, the statement
that it exists has no meaning. Hence, if the ether is retained
by the physicist he must assign a new set of properties.
A second consequence is that the velocity of light with
respect to two observers moving relatively to each other
must always be the same, no matter in what direction the
light is traveling, as the velocity must be equivalent to
that when determined by an observer at rest, of 186,000
EINSTEIN THEORY OF RELATIVITY 429
miles per second. These radical changes can exist only
under the condition that certain relations, known as rela-
tivity transformations, exist between the space and time
measurements made by the two observers.
The principle of relativity thus entails changes in our
mode of thought of the most revolutionary kind, and our
preconceived notions in consequence are turned topsy-turvy.
Let us see a few examples. If an observer is traveling at
the rate of 161,000 miles a second in a vertical direction his
arm, 30 inches long, is of its natural length when extended
horizontally, but is contracted to 15 inches when hanging
by his side or raised vertically above his head. This you say
is foolishness. Well, take a yardstick and measure the
length of the arm. Horizontally the arm measures 30 inches
on the scale, and vertically exactly the same 30 inches by the
scale. Yes, but when you hold the scale vertically it too
has been contracted and each inch on the scale is in reality
only half an inch, so that the arm measures 30 half -inches or
15 inches. "Yes," you will say, "but whoever heard of
anyone moving with such a colossal speed as 161,000 miles
per second? " Why not? It is impossible to measure ab-
solute velocities in space, and for all we know to the con-
trary we may be speeding along at this terrific rate. The ft
particles, referred to in Chapter XIV, move with velocities
of 100,000 miles per second.
A conclusion perhaps even stranger than the foregoing
must be drawn from the principle of relativity. Suppose
observer A is moving through space at a speed of 161,000
miles per second relative to B, and allow each observer to
hold an identical yardstick. On account of his fast flight, A's
stick is contracted to half of the length it has when at rest,
and hence B's stick appears to be twice the length of his
own. But since motion is purely relative in character, B
must be moving with respect to A with the speed of 161,000
miles per second, and hence B's yardstick is contracted; and
it appears to be twice as long, half as long, or equal to the
length of an identical stick, depending on which stick is the
moving one or whether they both are at rest.
If the speed of the observer is increased beyond 161,000
430 ECLIPSES OF THE SUN
miles per second , the contraction becomes greater and still
greater; and at the velocity of light all lengths dwindle to
zero and vanish. The observer changes to an object of two
dimensions, length and breadth, but without thickness, but
he himself is blissfully unconscious of his sorry plight. Dis-
tance is annihilated and so also is time. If traveling at the
velocity of light, the observer could go to the most distant
star without becoming a day or even a second older, for the
reason that no time had elapsed. These paradoxes make
the theory of relativity very difficult of comprehension to
anyone who is not a mathematician and they seem moreover
to controvert our " common-sense " view of things.
Everyone will agree that if one measuring rod identical
in length with another can be twice as long, half as long or
equal in length to the other, there must be something wrong
somewhere with the method of measurement. Einstein in-
quired into our methods of measuring length and time and
pointed out the lack of definiteness in the concepts of space
and time as ordinarily used. What do we do when we meas-
ure the length of an object like a book? We take a foot-rule
or meter stick and determine its " true " length. We
measure the size of the book, however, only by comparing it
with a scale whose length we suppose to be known. But
what do we actually know of the length of the foot-rule?
We take it for granted that it has been compared with some
standard foot-rule or yardstick. We know the lengths of
our measuring rods only by comparing their lengths with
other rods, and so on and on through an almost endless series
of comparisons, until we come to the Standard Yard pre-
served in London, or the Standard Meter kept in Paris.
The latter is a rod of definite shape, of a certain particular
metallic composition, and at a given temperature, the length
between two specified lines is exactly a meter. The length
of the meter is approximately one ten-millionth part of the
earth's quadrant. What would happen if the earth and all
it contains were suddenly contracted to half its present
dimensions? All objects including ourselves and all measur-
ing appliances would dwindle to half size. We would never
have any idea that the earth had contracted if we kept our
EINSTEIN THEORY OF RELATIVITY 431
attention on terrestrial objects. But lo, and behold, the
sun has suddenly doubled its size! If the sun and the ex-
ternal universe could have contracted at the same time as
the earth and the observer, we could never have become
aware of the difference. The " true " length of a book or
a rod thus depends on the definitions and postulates which
we adopt. Manifestly there is no such thing as " absolute "
space, everything is merely relative to the observer.
You will insist, however, that if there is no " absolute "
space, there must certainly be " absolute " time, for time
seems to go on quite independently of any observer. Each
of us unconsciously feels that when we die, the world will
carry on just about as before. Time and space thus seem
on a very different basis. But how do we measure time?
Ordinarily by a clock. We assume that the pendulum swings
in a perfectly uniform manner and that the clock hands move
equal distances in equal intervals of time. But how prove
our assumption? We are forced for our definitions of time
intervals to go back to the earth, and to assume that the
earth is a colossal top set spinning on its axis, and its mass
is so great that like a gigantic fly-wheel its motion must cer-
tainly be uniform. The assumption seems sound and all
of the accurate measurements of astronomy are based on it.
What would happen to the vaunted predictions of as-
tronomy if the earth changed its speed of rotation? In fact,
it was shown in Chapter IV that some suspicion has lately
been cast on the uniformity of rotation of the earth, — and
our time-keeper may after all be a faulty one. Apparently
therefore, we seem forced to the conclusion, since time-
measurements depend on measures of distances, that there
is no absolute time any more than there is absolute space.
The determination of both space and time consist essentially
in the measurement of certain lengths, and such measures
have no meaning except in relation to ourselves and our
every-day experiences.
Let us return again to the measurements of the book. We
recognize the object because we have seen other books. We
glance inside the pages, and find a treatise on higher mathe-
matics or some ebullition of modern fiction, both unreal and
432 ECLIPSES OF THE SUN
devoid of meaning to our feeble intellect. We likewise
recognize the foot-rule and we accept some one's word for
it that this rule has been compared with other rods, etc., etc.,
and that we know its length. Applying the measuring rule
to the book, and spending a few seconds of time in the opera-
tion, we find a length of eight inches. A Martian dropped
to the earth would not recognize a book, for in the advanced
civilization that is supposed to exist on the ruddy planet,
books do not exist. Neither would he recognize the foot-
rule, and certainly the marks that designate the inches would
be utterly unintelligible. The simple process of measuring
the length of a book would be completely impossible to the
gigantic brain of the Martian. He has not been taught
from his childhood up to measure with our particular rods.
The measurement of a length, simple though it seems, is
after all a very complicated process. We see the book, and
note that it occupies a definite position on a table in a room
furnished as a library. Having two eyes, we have learned
unconsciously to estimate the distance to the book, and so
we telegraph the thought to our brain that we must reach
forth the hand and pick up the book. (It is not necessary
to trace further the train of thought.) But it is easy to see
that in measuring the length of the book we are putting into
practice the training of hundreds and even thousands of
years, acquired at times with great difficulty by ourselves
and our ancestors.
Knowledge thus comes to us only as a series of experiences
or events. Each experience is perhaps an instantaneous
photograph on the brain. But every photograph when taken
requires a definite exposure-time, sometimes longer, some-
times shorter in length, depending on the intensity of the
light and the speed of the photographic plate. And so
there are brains which work slowly and those which grasp
more quickly. We see therefore that throughout all of our
existence we have tacitly assumed, without realizing it, that
measures of space are not at all independent of time, and
that durations of time are not devoid of their inherent refer-
ence to space. There are no durationless events, and each
and every one of our experiences involves a consciousness
EINSTEIN THEORY OF RELATIVITY 433
of both space and time. Thus neither space nor time is
absolute, and every observation is relative to the individual
observer. But each observer being confined to the earth,
by common consent we have come to the conclusion that
Truth is attained only when our observations agree with
that of the average individual and that we are in error when
we differ from the general average.
Throughout the whole of our scientific consciousness we
have assumed that in agreeing with the average observer
we have thereby derived the " true " length or have de-
termined the " true " duration of time. The great triumph
of Einstein consisted in making clear that the " true "
measures of each observer, and hence of the average ob-
server, are only relative in their nature and not absolute in
value. Consequently, all of the observations with which
we are familiar are relative and depend only on the indi-
vidual as represented by the average observer. The method
of advance was manifestly to divorce the series of events
from the observer, and look upon them from the point of
view of the objects themselves. This was Einstein's method.
He assigned space and time solely to the observer, but gave
to nature an unfamiliar combination of space and time of
four dimensions. However, this is not the same four-
dimensional space that has lately been much discussed by
the mathematician, a space of length, breadth and thickness
and a fourth dimension at right angles to the other three.
The relativity world of four dimensions we have in reality
been quite familiar with throughout our whole lives, as is
signified by the words right-and-left, forward-and-backward,
up-and-down, and sooner-and-later. The first three dimen-
sions give the familiar world of objects, the four dimensions
taken together furnish the world of events. In this four-
dimensional world a particle occupies not one point, as we
are accustomed to think of in space of three-dimensions, but
a series of points representing its positions at successive in-
stants of time. Its history then is represented by a line,
called its " world-line." If an observer is admitted, he has
his own world-line and immediately he imagines that his
world-line, of all lines, is the most important in the universe.
434 ECLIPSES OF THE SUN
He immediately proceeds to divide up the four-dimensional
entity into a space of three dimensions with time as the
fourth, and we have the world familiar to us all. But the
theory of relativity rules out the observer from any con-
sideration whatever, and there now results a space-time
nature in which is scarcely recognized space and time.
There is thus no " shape " to anything, no difference be-
tween straight and crooked, it is impossible to measure an
angle, which is in fact the difference in direction between
two straight lines. This four-dimensional world which was
invented by Minkowski, naturally has no reality, it does not
exist and its properties cannot be interpreted by our ordi-
nary experiences. The fourth dimension at right angles to
the other three is not even the time plotted as a quantity
directly, but the product of time into the square root of
minus one. This quantity, V — ~i, is known to every in-
telligent boy as the symbol of an imaginary quantity. Hence
it is futile to attempt to assign to this unfamiliar and unreal
world any of the attributes derived from the common ex-
perience of life. Many writers in their attempts to popular-
ize have used such catch-phrases as " time is curved," " there
is no now" " a phenomenon may be seen before it happens/'
and so forth and so on.
" Relegating space and time to their proper source — the
observer — Einstein bids us contemplate the residuum of
what we observe. This residuum is the true world. It is
shapeless, because we have abstracted shape; yet it is metri-
cal and has quantitative properties which can be expressed
in mathematical terms. Clearly we cannot describe this
true world in terms of familiar things, because the whole
point of Einstein's theory is that we must subtract the ideas
which we ourselves have added in order to form familiar
things. Mathematics is the only language in which the in-
herent qualities of this unfamiliar world can be described.
But though it seems unfamiliar, nature is left simpler by this
purification. A closer unity is perceived in the bases of
phenomena apparently diverse; and, for example, the effect
of gravitation on light is clearly foreseen. Further, the laws
of nature must relate to this four-dimensional residuum and
EINSTEIN THEORY OF RELATIVITY 435
the space and time we ourselves introduce cannot be rele-
vant. This led Einstein to the conclusion that Newton's
law of gravitation, which refers to one particular separation
of space and time, cannot be the exact law; and he proposed
a new law applicable to the four-dimensional world.'3 1
Although there is no distinction between straight and
crooked in the four-dimensional entity, it is however possible
to join two points or events by a certain unique track which
plays a part corresponding to the straight line in our familiar
life. This unique track is called a geodesic, and instead of
being the shortest distance between two points — the im-
portant property of the straight line in ordinary space —
the geodesic is of the maximum length. We see, therefore,
what unfamiliar conceptions are involved in the theory of
relativity, and how radically changed must be the point of
view that makes the distance between two points a maximum
and not a minimum !
Let us see some of the necessary consequences of the
principle of relativity in its relation to the propagation of
light. As already stated, this principle enunciates that the
velocity of light is independent of the observer, or, stated
in other words, that no matter what is the velocity of the
observer the wave-front of an emitted beam of light is al-
ways a sphere with the observer as the center. According
to the older views, a definite point of the ether, the source
of light, was the center of the sphere, but according to the
newer ideas it is the observer himself who is the center of
the sphere. The observer is thus in a sense the center of
the universe, he is at rest and the universe is carried by for
his inspection. If an observer A is the center of a sphere,
the wave-front will have advanced after time t so that the
square of the radius of the sphere will be represented by
tf + V2 + Z2 = C2/2
or x1 + f + z2- c2P = o
where the observer is the origin of coordinates and c is the
velocity of light. For any other observer B, the wave-front
1 Eddington, Contemporary Review, 116, 643, 1919.
436 ECLIPSES OF THE SUN
will again be a sphere but with B as its center, and the mathe-
matical equation will be
x* + / + z'2 - c2/'2 = o
According to the relativity assumption, the sphere observed
by A is identical with that observed by B. Hence a linear
transformation between jc, yy z, t and x', yf, z' y t' must trans-
form either of the above equations into the other. If now
we put let = w (where I is the imaginary quantity, V — J)>
then the equations reduce to x1 -f~ T + z2 + w2 = o and
x'~ + y's + %'* + w'~ = °> eac^ °f which represents a
sphere in four-dimensional space, x, y, z, w form a set of or-
thogonal coordinates, and x', y', z', w' must represent a
second set of orthogonal axes in this same space. In space of
three dimensions we are familiar with such sets of axes. An
observer at any one place chooses three axes, one north and
south, the second east and west and the third vertically up
and down. Another observer at a different place on the
surface of the earth takes a similar set of axes with reference
to his directions of north, east and vertical. But what are
up and down, and north and south to one observer are not
the same directions that appear to the other observer. A
rotation of axes and a transfer of the origin will transform
the set of axes of one observer into those of the other.
Similarly in the four-dimensional space-time continuum the
coordinates of A can be transformed into those of B by a
rotation of axes. But the sphere observed by A being the
same as that observed by B, or by any other observer, it
therefore must appear as an objective reality. But A and B
divide up the space-time continuum differently. Space and
time depend only on the consciousness of the individual ob-
server; hence the coordinates that A calls pure space and
pure time will not be space and time to observer B but will
be a mixture of the two. It is only the combination of
space and time, not space and time separately, that repre-
sents reality independent of the peculiarities of the indi-
vidual observer. The mathematical expressions by means
of which x, y, z, w are rotated into x', y', zfy w' are the
EINSTEIN THEORY OF RELATIVITY 437
famous transformations of Lorentz which were derived a
decade before Einstein's work was published.
Starting with these transformations and assuming that
light follows a geodesic and not a straight line (which is
now a meaningless term), Einstein developed his famous
theory of gravitation. The only constant introduced into
the discussion is c the velocity of light, the maximum velocity
of which we have any observational experience. Virtually
the only assumption made is the one of fundamental im-
portance, that the velocity of light is identical to all ob-
servers. This is at best an assumption, and if it can be
shown by any experiments that this premise is not true, then
the whole Einstein structure will fall into ruins. By means
of a little-used and very difficult branch of mathematics,
a theory was developed which explains gravitation, the
motion of Mercury and the gravitational attraction of the
sun on light rays. As the author does not claim to be one
of the original dozen who could understand Einstein's equa-
tions he will not introduce any further mathematical formu-
las. These newer conclusions will herald an advance over
the old law of gravitation only on the condition that Ein-
stein's theory represents the observed facts more closely
than the theory of Newton.
We may perhaps obtain an inkling of the meaning of
four-dimensional space by starting out with the properties
of three-dimensional space, with which from childhood we
have been familiar. In the world of events all four coor-
dinates are necessary, for we never observe an event except
at a certain time, and we are never cognizant of an instant
of time without special reference to space. In discussing
the laws of electromagnetic phenomena, it was shown by
Minkowski that these laws could be represented by assum-
ing a four-dimensional space-time and that the mathematical
transformations of Lorentz and Einstein could be described
by a rotation of a set of axes. In three-dimensional space
of everyday happenings no one would be impertinent enough
to say that there is any absolute direction of up and down,
i.e., the vertical, at any one place on the earth's surface,
although there are great numbers of people who believe that
438 ECLIPSES OF THE SUN
New York City occupies a specially important place on the
top of the world. The words " sooner or later " are like-
wise relative terms only and not absolute. We are all fa-
miliar with the mental process of assuming a set of three
rectangular axes relating to the particular location of the
observer on the earth's surface, a set, therefore, of relative
coordinates, not absolute ones. If we make a section by a
plane of three-dimensional space, we derive a two-dimen-
sional space, a plane. Similarly, if a section is made through
the four-dimensional world of events, a three-dimensional
space will result. For an observer on the earth, there is one
particular section only which will give the space of three
dimensions with which he is familiar, so that the four-dimen-
sional unity thus breaks up for him into space and ordinary
time. A section through an observer on Mars would be
unreal to us and unnatural in aspect. One of the postulates
regarding four-dimensional space is that it must be entirely
independent of the observer so that there cannot be any
real difference between any two directions in an absolute
sense. For any particular observer, as we have seen, the
four-dimensional world of events may break up into ordi-
nary space and time, but such a section would represent a
particular case and not the most general solution.
We may draw a number of lines on a flat piece of paper
or sheet of rubber. These lines intersect in many points.
By taking the sheet of rubber into our hands and altering
its shape, the lines on its surface become curves in three-
dimensional space. A skillful mathematician could repre-
sent these curves by complicated equations of transforma-
tions involving x, y and z. By altering the shape of the
piece of rubber we change the appearance of the lines on its
surface, but we do not in the least change the number of the
intersections made by the lines. The transformations ex-
pressing the intersection of two lines may vary greatly in
their mathematical forms, but if they are true formulas, they
cannot alter the actual intersections of the lines themselves.
A simple case of change of axes of reference, a mathemati-
cal transformation, is familiar to everyone. While standing
out in the rain, when no wind is blowing, one holds his um-
EINSTEIN THEORY OF RELATIVITY 439
brella vertically over his head if he wishes to keep dry.
The rain-drops, obeying the law of gravitation, seem to fall
vertically. If the observer starts to walk, the direction of
the falling rain appears to have changed, the rain-drops
come in a slanting direction. Of course, the direction has
not actually changed, but the effect is just the same as if
there had been a real change in the direction of gravity.
Some obstinate person will say that he knows that gravity
is acting in a vertical direction and that his motion has noth-
ing at all to do with gravity. Under this assumption he
persists in holding the handle of his umbrella vertical, for
he has learned that when standing at rest he keeps dry by
so doing. If he still insists in his foolishness when going at
high speed in a swift-moving, open automobile, he will lose
his umbrella and get dripping wet into the bargain.
In four-dimensional space the " world-lines " intersect in
a series of events. For the description of the world-line we
can choose any set of four-dimensional axes we wish. The
event takes place, however, absolutely independently of
any assumption of reference axes. If we change the axes,
we at the same time change the coordinates with respect to
these axes, but the interesting thing is the event and not
the particular set of reference axes assumed. The world of
nature is made known to us only through a series of obser-
vations or series of events. We learn, in fact, only through
a series of coincidences. To represent the laws of nature
our observations must be true no matter what selection we
make of reference axes. In other words, the mathematical
expression of the laws of nature must be such that their form
does not change if we make a transformation of axes.
It is a curious fact that we know very little of the mecha-
nism by which gravitation works. Is it propagated with the
velocity of light, or does it act instantaneously at infinite
speed? At a place on the earth's surface, gravity is the
resultant of two forces, one the attraction of the earth, the
other due to the centrifugal force of the earth's rotation.
The former is spoken of generally as a " natural " force,
the latter as an " artificial " one. Centrifugal force may be
altered by taking different locations on the surface of the
440 ECLIPSES OF THE SUN
earth or may be made to vanish entirely by going to the
north or south poles. For the purpose of simplicity in the
mathematical treatment, centrifugal force is separated from
gravity. We have no direct sensation for either force sepa-
rately, and in fact there is no physical basis for the separa-
tion. So why not consider the " natural " and the " arti-
ficial " force on the same basis? The generalization of this
notion led to Einstein's principle of equivalence that a
gravitational field of force is precisely equivalent to an
artificial field of force, so that it is impossible by any con-
ceivable experiment to distinguish between them. Force,
therefore, is relative and not absolute.
Guided by the two principles of relativity and equivalence,
Einstein was led to assume that all gravitational fields of
force must be illusions. He himself admits that he was
brought to his new point of view by discussing the sensa-
tions of falling with a man who had just tumbled from a
high building. No distinct consciousness of falling was
actually experienced by the man. The simplest method
after all for the consideration of gravitation may actually
be the point of view of the falling man who was experiencing
no peculiar sensations of his sudden flight. This was
Einstein's method. The earth was surely rising to meet
the man, and if he had not known of the sudden stoppage
of his flight that was in store for him, he might have quietly
theorized regarding the relativity of motion. Such an un-
constrained body (as the falling man) if left to itself takes
what we shall call a " straight " line, but which is actually
a geodesic. The world-line is undeflected until the particle
of matter comes into the vicinity of another particle. The
world-line of each particle is bent in towards each other or
deformed. A change of direction of the particle means that
a field of force has been entered. Such a deformation can
be brought into the equations by means of mathematical
transformations.
Gravitation therefore needs no special treatment different
from that of any other force. In developing the mathe-
matical analysis it was not possible to follow the geometry
of the flat space of Euclid where the straight line is the
EINSTEIN THEORY OF RELATIVITY
shortest distance between two points. The mathematician
will assert that there is no reason to assume Euclidian
geometry unless observation demands it. In the process of
the difficult mathematical development, Einstein was at
liberty to choose between several possibilities, and the deci-
sion reached seemed to give the simplest solution. In the
final analysis his law of gravitation must produce the same
effect as Newton's law for conditions of velocities small
compared with that of light.
According to Einstein's views, gravitation is simply a
geometrical deformation of unrestrained bodies, and hence
we may regard the gravitational field as influencing or even
determining the laws of space-time derived from measure-
ments. The track of a ray of light therefore is deformed
by the gravitational field. According to Eddington 1 " a
ray of light passing near a heavy particle will be bent,
firstly, owing to the non-Euclidian character of the com-
bination of time with space. This bending is equivalent to
that due to the Newtonian gravitation, and may be cal-
culated in the ordinary way on the assumption that light
has weight like a material body. Secondly, it will be bent
owing to the non-Euclidian character of space alone, and
this curvature is additional to that predicted by Newton's
law. If then we can observe the amount of curvature of a
ray of light, we can make a crucial test of whether Einstein's
or Newton's theory is obeyed.
" This separation of the attraction into two parts is useful
in a comparison of the new theory with the old, but from
the point of view of relativity it is artificial. Our view is
that light is bent in just the same manner as the track of a
material particle moving with the same velocity would be
bent. Both causes of bending may be ascribed either to
weight or to non-Euclidian space-time, according to the
nomenclature preferred. The only difference between the
predictions of the old and new theories is that in one case
the weight is calculated according to Newton's law of gravi-
tation, in the other case according to Einstein's."
It has been repeatedly urged by many writers that New-
1 Spacey Time and Gravitation, p. 106.
442 ECLIPSES OF THE SUN
ton's law is simpler than Einstein's. The former is indeed
more familiar, but that does not necessarily mean that it is
simpler. This depends on the point of view. The principle of
relativity introduced into scientific thought, first destroyed
the notion that space and time were absolute in character
or objective in existence. This led to a consideration of the
four-dimensional world of events and to the supposition that
gravitational force is an illusion. To explain this " force "
as an inherent curvature in space represents a further
revolution in scientific thought. Gravitation is not the only
" force " familiar to the physicist. Are these also illusions
and must not the Einstein theory be generalized to include
all of them? Such a generalization has been proposed by
Weyl who of necessity was forced to introduce new curva-
tures in the four-dimensional space to represent the forces
involved ; in fact, the effects predicted by Weyl agree so per-
fectly with electromagnetic theory that no testing of the
theory by experiment is possible. The only scientific test
to which all theories and laws must submit is the funda-
mental one of whether they represent the observed facts.
Einstein has not attempted an explanation of gravitation
other than to assume that it is propagated with the velocity
of light; he has only been occupied with the deduction of its
laws.
In the foregoing chapter is given an inkling of the man-
ner in which the philosophic trend of thought has been modi-
fied by the theory of relativity; in the following pages some
few of the scientific consequences will be discussed.
CHAPTER XXIII
HAS THE EINSTEIN THEORY BEEN VERIFIED?
IF the path of a ray of light is identical with that of a
material particle when passing close to a body of heavy
mass like the sun, it is easy to see that the path will not
be straight but will be a hyperbola. To calculate the amount
of the deflection from the straight line course one might
apply Newton's law; but according to Einstein's theory, this
old and well established law is applicable only under the con-
dition of small velocities. For an object traveling with the
velocity of light, the Einstein formula gives a deflection
twice that deduced from Newton's law.
Other important consequences follow as a direct result
of the Einstein theory. According to the inverse-square
law of gravitation, an isolated planet will describe about
the sun an ellipse the direction of whose axis is fixed in space,
but according to the Einstein law the path will be a spiral
and not an ellipse. The direction of the major axis will
therefore rotate in space instead of being stationary. The
amount of rotation, calculated from the Einstein theory and
derived without the introduction of any additional constants
into the equations, is 43 " per century for the planet
Mercury.
A further consequence is found when comparing the time
of vibration of an atom acting under the strong gravita-
tional pull of the sun with that of a similar atom in a ter-
restrial laboratory. The atom in its vibrations always be-
haves very much like the pendulum of an ideal clock. Since
the gravitational field of force is similar in its properties to
that of a centrifugal field, it is comparatively easy to calcu-
late the effect of the theory of relativity on the vibrations
of light under the gravitational action of the sun. It has
443
444 ECLIPSES OF THE SUN
been found, in virtue of this theory, that the wave-lengths
at the solar surface should be greater than those under ter-
restrial conditions in the ratio of 1.00000212:1. Each line
in the solar spectrum should be shifted towards greater
wave-lengths, or towards the red end of the spectrum, by
an amount readily calculable. The shift at the F or H(3 line
in the blue-green part of the solar spectrum should amount
to o.o 10 A, or one-hundreth of an angstrom.
There is a fourth consequence of the Einstein theory. If
a massive particle is placed near the center of a circle and if
the length of the circumference and the length of the diam-
eter are accurately measured, it should be found that these
two lengths will not be in the ratio of the famous number
TT. The experiment can hardly be regarded as a crucial
one for testing the Einstein theory for the reason that a
weight of five tons placed inside a circle of five yards radius
would not change the value of ir by more than one figure in
the 25th place of decimals.
The astronomers at the eclipse of 1919 observed deflec-
tions in the rays of light from the stars in the neighborhood
of the sun apparently in complete harmony with the pre-
diction of Einstein. As already stated, the amount of bend-
ing predicted was i".75 for a beam just grazing the edge of
the sun. Was the observed deflection an actual verification
of the Einstein theory or can it be accounted for by some
other agency? After eliminating deflections from all known
causes, the observations must necessarily conform to one
of three possibilities. First, there may be no deflections
whatever in the stellar rays, light traveling in exact
straight lines under all possible conditions; second, the
amount may be the so-called Newtonian deflection of o".8 7;
or third, it may be twice this size, as predicted by Einstein,
i.e,, a curvature of space in the vicinity of the sun causing
a bending of a light ray equal in amount to that demanded
by the Newtonian theory. There are other deflections pos-
sible, but they need not be considered in the present status
of the scientific theory.
Several books and articles have recently been written
claiming that the gravitational pull of the sun has absolutely
EINSTEIN THEORY VERIFIED? 445
no effect on a beam of light. The authors confidently state
that observation has abundantly verified the conclusion that
light travels always in perfect straight lines and hence a
deflection of light rays by the sun is impossible. The brave,
or possibly foolhardy, writers apparently have failed to real-
ize that with one fell swoop they utterly disregard not
only the whole of the theory of relativity but at the same
time they deny that light has weight. The consequences of
relativity have been so thoroughly substantiated by observa-
tions that he who has a scientific reputation at stake must
indeed be very rash to state that physicists must all be mis-
taken and that the whole theory of relativity is " tommy-
rot^
That light has weight has been thoroughly and completely
verified. Clerk Maxwell showed many years ago that light
is electromagnetic in character. In fact, the waves produc-
ing X-rays, photographic light, visible light, heat and wire-
less waves, are exactly similar in character, the only real
difference being the length of the waves. The wave-lengths
of X-rays are ten thousand times smaller than those of
light rays while wireless waves are just as much larger.
Light unquestionably possesses mass or inertia like other
forms of electromagnetic energy. The tiny waves of light
exert a pressure on material objects in a manner quite simi-
lar to that manifested by waves in water that pound with
such terrific force on the sea shore at times of storm. The
pressure exerted by light is termed light-pressure or radia-
tion-pressure. Its consequences are described in Chapter
XXI, and its effects are manifested to the astronomer in the
solar corona, in the tails of comets and in the conditions in
the more diffuse giant stars. This pressure exerted by light
has been found experimentally in the physical laboratory.
It is a consequence of the orthodox electromagnetic theory.
Recent discoveries, outlined in Chapter XIV, have shown
that mass is electrical in character, and consequently energy
is likewise electrical, and hence light which is also electrical
must possess both mass and energy. If any writer denies
these conclusions, he does not by so doing destroy the sci-
entific facts, but succeeds only in displaying his own igno-
446 ECLIPSES OF THE SUN
ranee of these facts. Even Newton himself surmised that
light has weight. The admirers of the great Englishman
should therefore not dogmatically deny proven scientific
knowledge and state that light moves under all circumstances
in straight lines even when under the strong gravitational at-
traction of the sun. A beam of light should therefore be de-
flected from its straight line course like any material particle
moving with the same velocity, and hence, in interpreting
the results of the eclipse photographs we must rule out the
possibility that no deflection can be caused by the sun. But
which is the true deflection, the Newtonian or that predicted
by Einstein?
The only possible method of testing the relative merits of
the two theories observationally is by means of photograph-
ing the stars surrounding the sun. On account of the glare
of the daylight sky, it has been found impossible to photo-
graph the stars in the immediate vicinity of the sun, at any
time except when the sun is totally eclipsed. The amount
of the deflection depends on the angular distance of the star
from the sun's edge, and at a distance of one solar radius
the angular deflection is but half the value at the limb. At
a distance of a solar diameter, the deflection is but one-third
of the limb value. The most important stars for the purpose
of testing the theory are therefore those which are closest
to the sun. Naturally, the brighter the star the more readily
can it be photographed. What is needed for a test of the
theory is a group of bright stars distributed at various angles
around the sun and close to its edge. Since the sun is
always found in the plane of the ecliptic, it is easy to see at
a glance from a celestial chart which part of the ecliptic con-
tains the brightest groups of stars, and then to decide at
what date of the year the sun is found at this favorable
position. The date turns out to be May 29. The brightest
assemblage of ecliptic stars is the group known as the
Hyades in the constellation of Taurus.
The British observers in 1919 were especially favored, for
the eclipse occurred on the twenty-ninth of May. Two ex-
peditions were dispatched. Crommelin and Davidson repre-
senting the Greenwich Observatory went to Sobral in North
EINSTEIN THEORY VERIFIED? 447
Brazil^ while Eddington and Cottingham from Cambridge
located at the Isle of Principe in the Gulf of Guinea, West
Africa. The telescope used at Principe was the thirteen-irich
" astrographic " telescope belonging to the Oxford Observa-
tory. The telescope was used horizontally, the light from the
sun being reflected down the tube by a coelostat mirror. The
focal length of 1 1 feet 4 inches insures a scale of the photo-
graphs of one millimeter equal to one minute of arc. One
second of arc is thus equal to one-sixtieth of a millimeter
or one-fifteenth-hundreth of an inch. In order to secure
increased sharpness of the star images, the aperture of the
lens was stopped down to eight inches. On eclipse day
clouds greatly interfered with the progress of the work. On
account of the long duration of totality amounting to six
minutes, sixteen photographs were obtained with exposures
ranging from 2 to 20 seconds. Unfortunately on many of
the plates, one or more of the essential stars were missing on
account of clouds.
In Brazil the observers were favored with fine weather.
They utilized two telescopes for securing their photographs,
one similar in size to the one at Principe, the other with the
greater focal length of 19 feet and aperture four inches.
The photographs with the former instrument were a grave
disappointment, for the star images were not in sharp focus,
due unquestionably to the warping of the mirror by the heat
of the sun. Seven of the plates taken with the four-inch lens
were found satisfactory for measurement. Only two of the
Principe plates were measured and on these the images were
not particularly well-defined and moreover they were weak
due to the interposing clouds. The sixteen plates secured at
Sobral with the astrographic telescope were also measured
in spite of their poor definition.
In order to secure from the eclipse plates results of the
highest value, it is necessary to photograph as a check the
same region in the sky but with the sun absent. To be
of the greatest worth, the check plates thus obtained should
reproduce as closely as possible the conditions under which
the eclipse photographs are taken. The plates should, if
possible be taken at the site of the eclipse, and with hour
448 ECLIPSES OF THE SUN
angle, temperature, etc., of the eclipse duplicated as nearly
as possible in the check photographs. Such a procedure
requires a stay of two or three months at the eclipse camp,
frequently located thousands of miles from home. The
Principe observers indeed secured check plates, but not at
Principe, but with the telescope mounted in England. The
conditions of latitude and temperatures were vastly differ-
ent in the two series of plates, and furthermore the plates
taken in England were secured without the interposition of
the mirror used at eclipse time. In view of their faulty
nature as check plates, an additional precaution was taken
of securing an extra series of plates photographed at Prin-
cipe and in England but portraying a different stellar region,
since it was found impractical to remain at Principe. The
Sobral observers did remain an additional two months after
the eclipse to secure the desired check plates.
The values of the Einstein effect reduced to tangency to
the sun's limb are:
From 7 Sobral Plates taken with 4-inch lens, i".98=bo".i2
From 2 Principe " " " 13 " " i"6i±o".3O
From 16 Sobral " " " 13 " " o".86dbo".i
On account of the poor definition of the sixteen plates
taken with the Sobral 1 3-inch lens, the values of the Einstein
deflection from these plates, ranging as they did from o".oo
to i ".2 8, were omitted from the final mean. Combining the
two remaining series with weights depending on the prob-
able errors, there results the deflection of i".Q3. Giving
equal weight to each of the series, the value becomes i".8o.
The value predicted by Einstein is i".J5. The close agree-
ment between observation and prediction was received with
the greatest interest and remarkable enthusiasm throughout
the whole of the thinking world.
The best series of the 1919 plates gives a result i".g& ±
o".i2. This certainly does not appear to confirm the half-
deflection of 0^.87, but on the other hand the poorest of the
three series of plates does furnish a value closely agreeing
with the Newtonian deflection. The remaining value,
i ".6 1 =t o".30, although it agrees closely with the full de-
8:9
EINSTKIN THEORY VERIFIED? 449
flection, might, on account of the size of the probable error,
possibly confirm the half amount. Although the plates taken
at the 1918 eclipse by the Lick Observatory with the five-
inch and forty-feet focus camera pointed directly at the sun
gave no indication of any appreciable bending, the notion
that light must necessarily move in straight lines was now
forever gone from scientific thought.
In spite of the general good agreement of the photographic
measures, no one, least of all the British observers them-
selves, will affirm that the Einstein deflection had been com-
pletely verified by the 1919 eclipse results. The work was
pioneer in character; and improvements over the methods
followed were readily apparent. First of all, the coelostat
mirrors must be eliminated by placing the cameras on an
equatorial mounting and pointing the lenses directly at the
sun. Not only do the mirrors prevent a maintenance of
constant focus, on account of the warping of their surfaces
by the heat of the sun, but the mirrors may introduce dis-
tortions in the photographs. As Russell, Slocum and others
have proved, evidences of such distortions are shown even
in the published results of the British observers. It was
immediately recognized that in the future much greater care
must be exercised in securing photographs of the field of stars
in the midst of which the sun would be found on the day of
the eclipse. The conditions under which these plates are
obtained must resemble as closely as possible those at the
time of the eclipse, i.e., with same temperature, hour angle
of telescope, etc. Scientific men are fully aware of the
fact that errors may creep into measures no matter how
carefully made and every effort must be made to minimize
these errors or to eliminate them if possible. The chief place
of importance at the 1922 eclipse was given to this problem.
It must not be thought that the amount of the deflection
caused by the sun is an angle so minute in size that its meas-
urement will tax the resources of modern astronomy. In
determining the distances of the fixed stars, parallal ob-
servers are quite used to measuring displacements on their
photographic plates less than one-hundredth of the Einstein
deflection by the sun. There are half a dozen of the observa-
450 ECLIPSES OF THE SUN
tories in the United States alone which are devoting much
of their energies to parallax determinations. Nor does the
problem of measuring the eclipse plates contain anything
startlingly new in the method. Astronomers for many years
are quite familiar with all of the processes involved in the
measurements and reductions, and moreover they are quite
accustomed to securing an accuracy far greater than that de-
manded by the Einstein problem. In regular observatory
work, such as required in the determination of the parallax
of the stars, astronomers are confident that constancy of re-
sults can be expected from night to night in photographs
taken with the telescope, and they have long series of observa-
tions to prove their conclusions; in fact, in parallax deter-
minations an accuracy is secured which is measured by a
probable error one two-hundredth part of the maximum de-
flection demanded by the Einstein theory.
If a total eclipse took place every day, the astronomer
would have abundant opportunity to vary the observing con-
ditions and thoroughly eliminate all possible sources of error,
but with eclipses occurring so seldom he must do the best he
can under unusual conditions. The check photographs are
secured for this purpose. The scale of the photographs, the
orientation and the various correcting factors that must be
taken into account in the reductions are obtained from
the check photographs. If these plates are photographed
through the glass, which is possible by the use of plate glass,
then the eclipse plates and the check plates may be placed
film to film and the star images on the eclipse plates will
nearly match in position those of the check plates. The meas-
urement thus becomes a differential one of comparing the
stars on the eclipse plate, image by image, with those of the
check plates. The method of reduction makes due allowance
for any changes in scale-value, orientation, refraction, etc.,
and we can confidently expect that the gravitational deflec-
tion will be readily separated from all other effects, provided
care is taken in securing a satisfactory series of plates to act
as checks. Before discussing the results of the 1922 eclipse
we must survey the other consequences of the Einstein
theory.
EINSTEIN THEORY VERIFIED? 451
Of the eight major members of the solar system, Mercury
is the exceptional planet. It is closest to the sun and has
the greatest orbital motion, it has the smallest mass, its
orbit has the greatest eccentricity and is inclined by the
greatest angle to the ecliptic. Mainly on account of the
great eccentricity and high inclination, the path of the planet
has caused considerable worry to the mathematical astrono-
mer. Mercury is never seen more than 28° from the sun
and it is therefore only visible to the naked eye shortly after
sunset or before sunrise projected on a strong twilight sky.
With a telescope, however, the planet may be observed in
the daylight sky. Tables of motion of Mercury were made
by Kepler as early as 1627, by Halley about 1680 and by
Lalande a hundred years later. The first really accurate
tables were those of Leverrier based on meridian observa-
tions made at the Paris Observatory between the years 1801
and 1842, and supplemented by observations of transits of
the planet across the face of the sun beginning with that
of 1631. Leverrier discussed the observations in a thor-
oughly masterful manner, calculating the gravitational at-
tractions of the other planets for Mercury whereby the orbit
was perturbed. It was found by him that the observed mo-
tion of the axis of the planet's ellipse was moving 0^.38 per
year, or 38" per century, in excess of the amount calculated
from the law of gravitation.
Leverrier discovered several possible reasons for the dis-
crepancy, the most plausible being the presence of a planet,
or group of planets, between the orbit of Mercury and the
sun. On March 26, 1859, Lescarbault observed such a planet
in transit across the face of the sun. It was found later that
Lescarbault 's planet did not follow the orbit calculated for
it by its discoverer and that the transits predicted by him
failed to materialize. Unquestionably, the original observa-
tion and those of many additional transits of other planets
supposed to have been seen by others find a ready explana-
tion in the appearance of spots on the face of the sun. The
discovery of two intra-Mercurial planets at the eclipse of
1878 (see Chapter IX) has likewise never been verified.
Two decades after Leverrier had completed his work, the
452 ECLIPSES OF THE SUN
same problem was attacked by Simon Newcomb ; and natu-
rally with much more material to his hands than was avail-
able earlier. No less than 5421 observations of Mercury
entered into the discussion, and a total of over sixty thou-
sand into the research on the motions of the four inner
planets, Mercury, Venus, Earth and Mars.
The observed motion of the perihelion of Mercury de-
duced by Newcomb was 4i".6±i".4 in excess of that cal-
culated from the law of gravitation. Such a large discrep-
ancy appearing in Mercury, what of the other planets? The
orbit of Venus is really too nearly circular to permit of the
observation of the direction of the major axis of its orbit
with accuracy and the same is true, but in lesser degree, for
the earth. The values of the motions were calculated but
the precision of the results for Venus and Earth were infe-
rior to those of Mercury and Mars. This latter planet with
its greater eccentricity of orbit shows an unexplained dis-
crepancy of 8". i in the motion of its perihelion.
According to Einstein's law of gravitation, the planetary
orbits not being closed ellipses but spirals, the path is slightly
advanced at each revolution in the direction of the motion of
the planet. The prediction of Einstein gives a simple for-
mula, namely, that the orbit of any planet will advance
through a fraction of a revolution measured by 3 IT / c",
where v is the velocity of the planet and c the velocity of
light. The values of v for each of the planets is known with
great exactness. For the four inner planets, the Einstein
motions per century are: 42 ".9 for Mercury, 8". 6 for Venus,
3".8 for the Earth and i".3 for Mars; showing a remarkable
agreement for Mercury but little improvement in the dis-
crepancy of Mars. Further disagreements between observa-
tion and motion calculated on the Newtonian theory were
found by Newcomb, the most important being io".2 in the
node of Venus and o".88 in the eccentricity of Mercury.
The Einstein theory does not apply to the two last discord-
ances. Attention should thus be called to the fact that the
motion of the perihelion of Mercury is not the only wide di-
vergence from the law of gravitation found in the discus-
sion of the motions of the planets. Its value is the largest,
EINSTEIN THEORY VERIFIED? 453
it is true, but the other disagreements are none the less im-
portant in spite of their smaller size.
Before we can accept the Einstein theory as the true ex-
planation of the motion of the perihelion of Mercury, we
must first exhaust all other explanations arising from the
Newtonian law of gravitation, and all possible deflections in
the photographs caused by refraction, etc. If the unex-
plained motion of the perihelion had been Leverrier's 38"
instead of Newcomb's 42", the Einstein prediction of 43"
would hardly have been received with the universal acclaim
accorded the almost perfect agreement. Newcomb, many
years ago, showed that the motion of Mercury can be com-
pletely accounted for under several hypotheses, but unfortu-
nately in explaining away the discordance in Mercury's mo-
tion, discordances were introduced into the other planets so
that the last state appeared no better than the first. There
are three possibilities:
1 i ) A non-spherical sun
( 2 ) A ring of matter surrounding the sun
( 3 ) The number 2 in Newton's law is only a first approxi-
mation.
According to Charles Lane Poor,1 " the ordinary classical
methods of physical and astronomical research can fully ex-
plain all of the observed phenomena; the motions of the
planets can be fully accounted for by the presence of matter
known to exist, and the light deflection, if real, can be ex-
plained as the result of refraction through the cosmic dust
surrounding the sun."
It was shown by Poor that if the equatorial diameter of
the sun exceeds the polar diameter by an angle of o".io, it
will cause a motion of the perihelion of Mercury amounting
to but 7" per century. Although from theoretical grounds
the rotation of the sun should cause a bulging of the sun at
the equator, such an effect has never been detected with
certainty (see Chapter VII). The excess of equatorial di-
ameter of the sun can hardly amount to more than o".o5,
and this would affect the orbit of Mercury but little.
1 Gravitation versus Relativity, 227, 1922.
454 ECLIPSES OF THE SUN
It was next shown by Poor that the assumption of a lens-
shaped material appendage surrounding the sun will be
sufficient to explain not only the motion of Mercury, but
practically all of the other divergences from the law of gravi-
tation as well. The method adopted by him was one very
familiar in practice, namely, that of introducing as many
constants into the calculation as there are quantities to be
allowed for. In the solar corona there is evidence of an ap-
pendage to the sun and, furthermore, the zodiacal light gives
an indication of an envelope stretching out from the sun
vastly farther than the corona. The corona is more or less
symmetrical with respect to the sun's equator, while the plane
of the zodiacal light is that of the earth's orbit. For the
purpose of simplicity of computation, it was necessary to
make several more or less arbitrary hypotheses.
According to Poor (loc. cit., p. 237), " there is apparently
no mechanical nor physical reason for the non-existence of
a group, or groups, or bodies, sufficient to explain all the
irregularities in the motions of the planets. Thus, all the
discordances, including that of the perihelion of Mercury,
can readily be accounted for by the action, under the New-
tonian law, of matter known to be in the immediate vicinity
of the sun and planets." Such a distribution of material
would cause a true atmosphere surrounding the sun which
would not be of the uniform density (assumed for ease in
computation), but which would be very dense close to the
sun's surface.
An atmosphere of this character would cause refraction
on a beam of light when it passed through this atmosphere.
In fact, Poor assumes that such a refraction is a sufficient
cause to explain the whole of the bending of the rays of light
at the 1919 eclipse. On the other hand, Eddington * shows
that " at a height of 400,000 miles above the surface of the
sun the refractive index required is 1.0000021. This cor-
responds to air at ^ atmosphere, hydrogen at -7V atmos-
phere, helium at -*V atmospheric pressure. It seems obvious
that there can be no material of this order of density at such
a distance from the sun. If there were, the pressure on the
1 Space, Time and Gravitation, p. 121.
EINSTEIN THEORY VERIFIED? 455
sun's surface of the columns of material involved would be of
the order of 10,000 atmospheres; and we know from spec-
troscopic evidence that there is no pressure of this order."
Dr. Harold Jeffreys L discussed the effect, on the peri-
helion of Mercury and on the shifting of star places, of
matter known to be in the immediate vicinity of the sun and
planets, namely, the solar corona and the zodiacal light, in
the following manner: " You can determine the density per-
fectly from the luminosity. You know the intensity of light
that falls on these masses; you know the distance; you have
a fair idea of the physical constitution ; and you need simply
compare these with the light that you receive from the sky
at midday to get a direct estimate of the amount of these
two deflections that can be got from this mass that is known
to exist. The results are rather startling. There is enough
matter in the zodiacal light to account for one three-thou-
sandth of the motion of the perihelion of Mercury. There
is enough matter in the corona to account for about 10 8 of
the motion of the perihelion of Mercury. The solar corona,
by means of its refraction, is capable of producing one-
millionth of the observed deflection of the star images. So
I think it is clear that the only reasonable interpretation one
can make of these two shifts is that they are due to some
property of the law of gravitation."
Another method of explaining the motion of Mercury un-
der Newton's law was that suggested many years ago by
Hall. If the exponent 2 in the inverse square law is in-
creased until it becomes 2.00000016, then the effect on the
perihelia of the inner planets as computed by Newcomb be-
comes: Mercury 43". 3 7, Venus 1 6". 98, Earth io".45 and
Mars 5^.55. While the values of Mercury and Mars agree
well with the observed displacements, those of Venus and the
Earth are very wide of the true values.
Of the utmost importance to the Einstein theory is the ac-
curate determination of the shift of the spectral lines in the
sun towards the red when the wave-lengths are compared
with those derived under terrestrial conditions. This spec-
troscopic test is not based on mathematical reasoning of such
1 Monthly Notices, R. A. S.f 80, n6, 138, 1919.
456 ECLIPSES OF THE SUN
difficulty that few can follow the methods, but simply and
solely on the theory of relativity that motions are relative.
According to the principle of equivalence, Einstein asserts
that a ray of light falling from the ceiling to the floor of a
room moves exactly the same, no matter whether it is as-
sumed that the light moves in the earth's gravitational field
or with respect to a system of axes of reference moving at
the rate of 32 feet per second upwards. The result of light
moving in a gravitational field cannot be distinguished from
a Doppler effect of motion in the line of sight. Consequently,
it is easy to calculate the amount of the shift caused by the
gravitational field in the sun, and this is equivalent to a Dop-
pler effect of 0.634 km per second. If the relativity shift is
verified in the sun, this same principle becomes of the great-
est importance in the investigations of other suns, the more
distant stars. If we know the mass and density of a star,
from which can be found the gravitational attraction, then
the star may be submitted to the Einstein test. As will be
shown later, this test has been carried out with great success
on the feeble companion of the brilliant Sirius.
At first sight the problem seems to admit of a ready solu-
tion. All that appears necessary is that the wave-lengths of
the arc spectrum be determined in the laboratory with the
highest degree of accuracy attainable and that these wave-
lengths be compared directly with solar values. Let us look
back and see what the earlier chapters have shown concern-
ing the history of spectroscopy.
As early as 1890, in the process of deriving his famous
table of solar wave-lengths, Rowland had noticed that com-
parisons of the solar spectrum with that of the electric arc
showed that the solar lines were nearly always shifted to the
red. It was thought that at the time this shift was probably
accidental, due unquestionably to some systematic errors
called in by the apparatus. However, a further study of the
problem by Jewell convinced him that the cause of the shift
to the red could not be instrumental for the reason that the
shift was far from being a constant, since it varied in amount
with different chemical elements and even different amounts
of shift appeared for different lines of the same element.
EINSTEIN THEORY VERIFIED? 457
Not being instrumental, the cause of the displacements
seemed to be due to the fact that the temperatures and
pressures of the vapors in the solar atmosphere were vastly
different from those found in the vapors rendered luminous
by the electric arc. It seemed impossible for temperature
to have any influence whatever on the wave-lengths either
in th arc or in the sun, and hence the cause unquestionably
was that of pressure. Accordingly, extensive series of in-
vestigations were carried out by Jewell, Humphreys and
Mohler 1 who came to the conclusion that the pressure in the
sun's reversing layer varied somewhere between two and
seven terrestrial atmospheres with the mean value of five to
six atmospheres. The surprising feature of the investigation
was that the pressures derived were so small, being in fact
much less than one might have supposed to exist in an enor-
mous body like the sun.
In 1909, Fabry and Buisson 2 applied the interferometer
to the problem and succeeded in deriving wave-lengths with
a greater accuracy than had been possible with a concave
grating alone. In investigating the spectrum of iron in the
electric arc, it was found that as a whole there was a shift
to the red in the sun compared with wave-lengths of iron but
that the amounts of the shifts varied greatly, some of the
lines even showing a shift to the violet. In comparing di-
rectly the wave-lengths of the solar rays and the correspond-
ing rays of the iron arc in a vacuum, Fabry and Buisson
found that the solar rays always showed this shift towards the
red, which must be the case if the displacement is the effect
of pressure in the sun's reversing layer, provided the pres-
sure in the sun is greater than that found at the earth's sur-
face at sea-level. The explanation seemed satisfactory and
sufficient, and as a result of a long series of observations
very carefully executed the conclusion reached was that the
solar pressures were approximately five atmospheres, thus
being in good agreement with the values of Jewell, Hum-
phreys and Mohler. The shift of the solar lines to the red
amounted to 0.008 A at wave-length 4500 A.
1 Astrophysical Journal, 3, 114, 1896.
- Journal de Physique, (4), g, 298, 1910.
458 ECLIPSES OF THE SUN
In 1911, Einstein l called attention to the amount of this
shift and showed that if it could be assumed that the pres-
sure of the reversing layer was less than one-tenth of a ter-
restrial atmosphere, then the displacement of 0.008 A was
readily explainable on the theory of relativity just then be-
ing developed by him. Unfortunately, all of the observa-
tions pointed to much higher pressures at the photosphere
and to add to the complications Halm2 had found (1907)
that the wave-lengths from the edge of the sun were dis-
placed towards the red with respect to those from the center
of the sun. Neither pressure nor Einstein shift could explain
these difficulties nor was the theory of anomalous dispersion
more successful when brought forward by Julius/
There seemed nothing to do but to secure more observa-
tions and with greater precision. These observations came
principally from three observatories, from Kodaikanal, from
Allegheny and from the Mt. Wilson Observatory.
All observers were now agreed in finding an unmistakable
shift to the red of wave-lengths in the sun when compared
with terrestrial standards. By the year 1912, four different
explanations were offered: (i) pressure, (2 ) anomalous dis-
persion, (3) relativity shift and (4) a Doppler effect of
motion of the solar vapors, advanced by Evershed. Which
of the four would survive the test of precise observations?
At Mt. Wilson an extended series of researches were
undertaken with the electric furnace wherein both the tem-
perature and pressure could be controlled at will. These
researches, continued up to the present, have added enor-
mously to our knowledge of spectra. In the investigation of
the spectrum of iron, Gale and Adams 4 found it possible
to divide the iron-lines into four groups, designated by the
symbols a, b, c, and d. In these four groups the amounts of
the displacements, for the same value of the wave-length
and same increase in pressure, are proportional to the num-
bers i : 1.5 : 3.4 : 6.6. In passing from the arc in a vacuum
to the arc at ordinary atmospheric pressure these investiga-
1 Annalen de Physik, (4), 35, 905, 1911.
2 Astronomische Nachrichten, 173, 273, 1907.
3 Rev. Gen. des Sciences, 15, 480, 1904.
4 Astrophysical Journal, 35, 10, 1912.
EINSTEIN THEORY VERIFIED? 459
tors confirmed the conclusions already advanced by Fabry
and Buisson regarding the pressures in the photosphere.
In 1913, still another difficulty appeared. Wave-lengths
secured with different strengths of current and with the poles
of the electric arc placed at different distances apart showed
wide variations. Hence there arose what is now known to
spectroscopists the world over as the " pole-effect/' to cor-
rect which was devised the " Pfund arc." The pole-effect at
times may be quite large. For the sodium pair at 6154 A and
6160 A, for instance, the displacement may amount to as
much as 0.52 A. The Stark-effect and the Zeeman-effect
added still further to the confusion. The problem had thus
become a frightfully complicated one.
Still another cause of discord appeared in the year 1915
when it was recognized by all observers that the amounts
of shifts varied with the intensities of the solar lines. Not
only were the wave-lengths at the edge of the sun shifted
towards the red with varying amounts depending on in-
tensity when compared with lines from the center of the sun.
but also the lines from the center of the sun were likewise
shifted towards the red compared with the corresponding
lines of the electric arc, but these displacements varied in
an entirely different manner with change in intensity.
Theoretically, the amounts of the pressure shifts should
vary directly as the cube of the wave-lengths. The observed
displacements certainly did not exhibit any verification of
this law, and hence of necessity it was recognized either that
the pressures at the solar surface were very small or else
their effects were masked by other causes. But what were
the other causes? A close examination of the observed
quantities brought to light the fact that the displacements
from the same line of the spectrum gave very different re-
sults on different days of observation, and moreover even
the lines of the same group with same intensities and same
wave-lengths gave discordant values. It was evidently not
sufficient for the purpose to be satisfied with having a stable
form of apparatus. The temperature must be kept rigor-
ously constant during the observations, the grating must be
covered in precisely the same manner by the rays of light
460 ECLIPSES OF THE SUN
in each exposure, but most important of all, it was no longer
sufficient to expose first to the sun and then to the electric
arc, but the exposures had to go on strictly simultaneously.
These refinements when carried out imposed on the observa-
tions a much more satisfactory internal agreement than had
hitherto been found.
But what was the cause of the systematic deflections to-
wards the red? Apparently, pressure was not the chief
cause. The shifts towards the red throughout all wave-
lengths seemed to behave exactly like a Doppler effect of
motion in the line of sight. It therefore seemed possible
that these motions were actually caused by the vapors de-
scending towards the surface of the sun or else withdrawing
away from the earth. When comparing the center of the
sun and the lines of the electric arc, the dependence of the
amounts of the shifts on the intensities of the lines could be
readily explained by making plausible assumptions regard-
ing the heights of the various layers in which the solar lines
originate, but it was difficult to apply this same explanation
to the shifts of the lines at the edge of the sun when com-
pared with those in the center. Evershed and Royds l were
therefore forced to the bizarre conclusion that the earth was
the cause of the displacements and that this small planet of
ours exerted a repulsion on vapors in the sun's atmosphere.
The authors themselves recognized the absurdity of the
earth-repulsion theory for there seemed no reason why the
other planets should not give evidence of similar repulsions.
Evershed 2 therefore put this theory to a crucial test to dis-
cover whether there was a similar effect from the earth's
twin-sister, Venus. For this purpose, a comparison was made
between the spectrum of Venus and the spectrum of day-
light, that is to say, the whole of the sun's hemisphere turned
towards the earth. The observations were carried out in
1918 while the angle from Venus to sun to earth changed
from 45° to 135°. These observations seemed to give satis-
factory proof to Evershed of a Venus-effect, but these con-
clusions were not confirmed by the Mt. Wilson observers 8
1 Kodaikanal Bulletin, 49, 1916. 3 As trophy steal Journal, S3, 380, 1921.
2 Observatory, 42, 51, 1919.
LICK OBSERVATORY CAMERA FOR TESTING THE EINSTEIN EFFECT,
AUSTRALIA, 1922
SAILORS OF THE AUSTRALIAN NAVY ASSISTING THEIR COUSINS FROM CANADA IN ERECTING
THE EINSTEIN CAMERA
EINSTEIN THEORY VERIFIED? 461
who in 1919 and 1920 made special observations towards the
same end.
Meanwhile the whole world had been electrified by the re-
sults of the 1919 eclipse which showed stellar deflections con-
firming in such splendid manner the Einstein theory. It was
but natural that many scientists would claim that they had
discovered the Einstein shift in the sun — but many of these
contributions exhibited little knowledge of the difficulties
underlying the problem. For lack of space it will be im-
possible here to go into details.
When one refers to the widely different values of the
solar rotation obtained as the result of an extended series
of most careful and refined measures carried out by the
most skillful of the world's solar spectroscopists, as given in
Chapter XVIII, one glimpses some of the difficulties of the
problem. The verification of the Einstein prediction by sun-
arc displacements is even a more difficult task than that of
measuring the solar rotation by spectroscopic methods.
The problem, however, became much simplified in 1923
and 1924 by the recognition by a number of competent au-
thorities, almost simultaneously and from a number of dif-
ferent lines of attack, that the pressures of the photosphere
were much less than previously had been supposed. It had
already become evident that the relativity shift could not
be determined by measuring a few lines and making plausible
assumptions regarding pressures and various other effects.
To reach a definite conclusion it was manifestly necessary to
carry out a much more extensive program of work, both on
the sun and in the laboratory. The goal of such work is in-
deed the determination of a satisfactory system of arc and
solar wave-lengths each reduced to the international stand-
ard, and with the wave-lengths in sun and arc freed as much
as possible from possible sources of errors. Such investiga-
tions, demanding the most refined instrumental equipment
and specialized training of the highest order that can come
only from long years of practical research, seem to have been
realized.
Wave-lengths of the highest degree of reliability have
been determined at the Allegheny Observatory in coopera-
462
ECLIPSES OF THE SUN
tion with the Bureau of Standards. The method of securing
the photographs was by means of a powerful grating speo
trograph and interferometer, the wave-lengths being accu-
rate within one part in five million to one part in eight
million. These measures can readily detect a shift one-tenth
of the Einstein prediction. The results for neutral iron are
more exact than for any of the other elements. Wave-
lengths in sun and vacuum arc must be carefully reduced to
one system. From the differences sun minus vacuum arc are
then subtracted the predicted relativity shift 2.13 x io~° x X.
SYSTEMATIC DIFFERENCES IN HEIGHTS AND WAVE-LENGTHS*
WITHIN MULTIPLEX GROUPS
MAIN DIAGONAL
SIDE DIAGONALS
WHOLE MULTIPLEX
E.P.
INTEN-
SITY
No
AX
Hgt
No.
AX
Hgt.
No
AX
Hgt.
o 07
6—40
9
-M o
1722
ro
+ i 4
1^00
19
+ 2 2
I tJOO
o 93
4-40
15
+ 2 0
U57
20
-ho 5
7Q2
35
+ 1 2
Q48
I ~A
2-10
12
+ 2.0
1400
1 z
— o i
82^
25
~ho 9
IIOO
o 93 •
4- 8
5
+ 1 2
540
6
-o 6
500
i r
-fO 2
518
2 2-2 8
3-10
10
-ho 9
625
17
— i o
500
27
-o 3
54«
2 4-3 2
i- 8
i?
-o 9
497
25
— 12
409
42
— 11
445
2 2-2 8. . .
i- 6
27
-2 6
525
34
-2 5
5'8
61
-26
522
3.2-4 8
o- 6
40
-2 9
406
49
-2 4
36l
89
— 20
3»i
* The unit for AX is o 001 A.
For all of the individual multiplets of Fe, where there are
enough spectral lines to make it worth while, the lines can
be divided into two groups, depending on whether the lines
are on the main or on the side diagonals of the multiplet.
Altogether a total of 48 multiplets involving 309 Fe lines
were discussed, the results in the table being separated into
three series, representing strong, medium and weak multi-
plets. In each case are given: the number of lines, the height
in kilometers from the flash spectrum, and AX (in units of
o.ooi A), which is the equivalent to the difference sun minus
vacuum arc from which has been subtracted the relativity
shift.
It is evident from the abundant material that went into
the table that the value of AX on the main diagonals of the
EINSTEIN THEORY VERIFIED? 463
multiplets averages greater in size than the value on the side
diagonals. For obvious reasons, the relativity shift in each
multiplet must be practically identical for main and side
diagonals. Although the values of AX for all of the lines in
the table will average nearly zero, yet it is clear that there
are systematic differences, the strongest lines, those which
reach the greatest heights, have the largest plus residuals,
while on the other hand the weakest lines or those which
reach the least elevations, have the largest minus residuals.
Apparently therefore the wave-lengths in the sun are
greater than those in the laboratory, the average difference
being approximately that of the Einstein relativity shift.
Several attempts have been made to explain the residual
differences. It has been assumed by St. John that the posi-
tive and negative residuals represent a Doppler shift, and
in consequence the atoms forming the strong lines at great
heights above the photosphere are falling toward the photo-
sphere, while on the contrary the atoms forming the weak
lines of less heights are ascending from the solar surface. To
this very interesting hypothesis, Milne takes exception and
points out the various difficulties. He himself advances the
hypothesis of an asymmetrical distribution of velocity among
the velocities of agitation of the individual atoms. Burns 1
favors Milne's point of view. The present writer believes
that the simplest explanation is to be found in the St. John-
Babcock interpretation, which is nothing more or less than a
circulation of Fe vapor in the chromosphere. On account of
the higher temperatures and higher pressures near the pho-
tosphere, the solar activity causes the Fe atoms to ascend
through the medium of thousands of weak lines of high ex-
citation potential, the maximum velocity found from flash
spectrum for Fc being 0.2 km per second. The heights to
which the Fc atoms are ejected are much greater than can
be measured by the lines in the flash spectrum. In the upper
reaches of the chromosphere, especially where the pressures
are minute, some of the atoms lose an external electron and
become ionized. From a law of nature that " whatever goes
up must come down " the Fe atoms descend from the maxi-
1 Journal Optical Society of America, 20, 212, 1930.
464 ECLIPSES OF THE SUN
mum heights. In their descent some of the ionized atoms gain
an external electron and again become neutral. At less
heights the atoms descend through the medium of compara-
tively few lines of great strength but of low value of the ex-
citation potential. For the Fe lines of highest level in
the flash spectrum the velocity is 04 km per second, while
for the H and K lines which reach the greatest heights in
the chromosphere, Evershed ' finds a residual value of AX
equal to 0.0070 A, equivalent to a velocity of -f- 0.5 km per
second.
From information given in earlier chapters, it is possible
to make a calculation of the number of atoms crossing a given
level per second of time in their ascents and descents. The
numbers appear to be roughly equal.
Consequently, the greater wave-lengths at the center of
the sun when compared with the arc appear to be satisfac-
torily explained. But with the observed shifts to the red
at the sun's edge " it is another story." Motions of circula-
tion assumed in the sun must be directed toward or away
from the center of the sun. At the sun's limb these motions
are at right angles to the line of sight to the terrestrial ob-
server, and hence they cannot cause a Doppler effect of
motion in the line of sight. As a consequence, the spectrum
of the limb of the sun compared with the iron arc in vacuum
should exhibit a constant deflection, independent of the in-
tensities of the solar lines under consideration, and this con-
stant value should be that demanded by the relativity
prediction; which, however, observations do not confirm.
Hence St. John is forced to assume a " limb effect " caused by
molecular scattering as a result of the great differences in the
lengths of paths traversed by rays coming tangentially from
the edge of the sun compared with those from the sun's center.
This explanation of the limb effect seems to be a make-
shift and no great confidence can be felt in it until verified
by more complete observations. Unfortunately, the neces-
sity of assuming such an effect enormously weakens all of
the arguments tending to prove that the Einstein prediction
has been verified to exist in the solar spectrum. Unques-
1 Monthly Notices, R. A. S., 90, 186, 1929.
EINSTEIN THEORY VERIFIED? 465
tionably the wave-lengths in the sun are greater than those
in the terrestrial laboratory, unquestionably the chief cause
of the greater wave-lengths is the slowing up of the atomic
clock in the sun — but there are minor differences in wave-
length for which there is now no adequate explanation. For-
tunately, Adams * at Mt. Wilson, from measures of the spectra
of the companion of Sirius, in a spectacular manner has not
only confirmed the validity of the theory of generalized
relativity, but at the same time has shown that densities
50,000 times the density of water can exist in the atmos-
pheres of dwarf stars of early-type spectra.
Since the first burst of enthusiasm in 1919, following the
measures made by the British astronomers at the total eclipse
of that year, scientists have had a chance to examine more
fully into the theory of the bending of the light of a star
when the stellar beam passes close to the sun. The prob-
lem is after all not a novel one in scientific thought, but dates
back more than one hundred years to the celebrated English
physicist Cavendish who calculated, on the basis of the
corpuscular theory, the amount that the corpuscles of light
are bent towards the sun in passing it. As long ago as 1801,
Dr. J. von Soldner derived formulas, which were published in
Bode's Astron. Jahrbuch for 1804, from which the deflection
of light at the edge of the sun on the corpuscular theory was
computed to be o."84. (Using modern values of the as-
tronomical constants, this value is changed to o/'Sy.) This
deflection, based on an erroneous theory of light, is the so-
called Newtonian deflection. The mathematical discussion
should not under any circumstances be confused with the
prediction by Einstein resulting from his splendid develop-
ment of the general theory of relativity.
It should be clearly borne in mind, however, that in the
progress of the mathematical treatment by Einstein the
equations became very complicated; and for the sake of sim-
plicity, of securing a set of equations that could be manipu-
lated, it was necessary to make certain assumptions. The
theory coming from his hands is therefore not in its most
generalized form, and it is true only in so far as the restric-
1 Proc. Nat. Acad. Sciences, 11, 382; Observatory, 48, 337, 1925.
466 ECLIPSES OF THE SUN
tions imposed by the selection of the set of hypotheses can
represent the observed facts. These limitations curtail the
applicability of the theory — but the method, rendered nec-
essary for the purpose of securing results, is almost as old as
science itself. Since knowledge can be obtained only as the
result of observations, it is evident that the velocity of light
is the maximum velocity that can enter into any observation.
Two great difficulties present themselves to the average
mind when attempting to grasp the meaning of the Einstein
theory. The first of these two is that it is almost impossible
to conceive that the coordinate time differs in no essential
particulars from the three dimensions of length, breadth
and thickness. The upholders of the relativity theory
assert that the world of events is rendered the simpler by
this consideration of a space-time concept of four dimen-
sions, even though it is necessary, as a consequence, to regard
the whole volume of space as finite, but nevertheless without
a boundary. As a matter of fact, no one can possibly picture
the curvature of a four-dimensional continuum for the rea-
son that there is nothing at all in our experience comparable
with it.
There are some individuals with mathematically trained
minds who have persuaded themselves that they can really
grasp the conception of the four-dimensional world of space-
time; but most of these rebel and refuse to be convinced
when, as a second consequence of the Einstein theory, it is
necessary to assume that gravitation should receive no treat-
ment different from that accorded the other " forces " of
nature. Gravitation is therefore explained by Einstein as
being due to the curvature of space and time. Certain mas-
ter minds, like Eddington,1 state that a great simplification
has taken place; and that " we have realized for the first
time that a world without gravitation (without curvature)
would be more specialized and stand more in need of ex-
planation than the actual world disturbed by gravitation."
Eddington's colleague at Cambridge, Sir Joseph Larmor,1'
finds difficulty in believing that " the world of so-called clas-
sical physical science is an illusion, an imperfect picture of a
1 Sdentia, 33, 313, 1923. '2 Phil. Mag. 45, 243, 1923.
EINSTEIN THEORY VERIFIED? 467
reality depending symbolically on a field of fourfold quasi-
geometrical algebra, of a presumed cosmos deep below the
sensual sources of our concrete physical knowledge, of which
we may obtain shadowy glimpses, but which is as yet quite
beyond any direct grasp or intuition/' Furthermore, in this
important paper (loc. cit.} Larmor states the belief that the
principle of equivalence between a field of gravitation and
a field of acceleration seems definitely to have failed. Lar-
mor makes a careful study of the whole problem and comes
to the definite conclusion (derived before the date of the
1922 eclipse) that the maximum deflection experienced by
the stars surrounding the sun at an eclipse should amount to
one-half that predicted by the Einstein theory, or in other
words, o".87 at the limb of the sun.
The eclipse of 1919 certainly did not furnish a decisive
answer regarding the verification of the Einstein problem.
The work at best was pioneer in its nature, but it did give
invaluable information regarding the best method of pro-
cedure for researches of the future. At the eclipse of 1922,
four improvements over the methods adopted in 1919 were
incorporated. First, the coelostat mirrors were eliminated,
the cameras being pointed directly at the sun. Second, the
lenses employed were quadruple, and not the ordinary achro-
matic combination of flint and crown glass lenses; thus en-
suring a flat field over a very large area. Third, instead of
trusting to luck that the driving mechanism would perform
its duties perfectly, auxiliary guiding on a star during the
eclipse exposures was attempted. Fourth, the securing of
check plates was thoroughly accomplished.
The observers devoting themselves mainly to the Einstein
problem were the British party of Jones and Melotte who
located on Christmas Island in the Indian Ocean, and a com-
bined German-Dutch expedition with headquarters also on
Christmas Island. In Northwest Australia was the Lick-
Crocker expedition under the direction of Dr. W. W. Camp-
bell, a Canadian party from the University of Toronto con-
sisting of Dr. C. A. Chant and Dr. R. K. Young, and Mr.
J. Evershed from the Kodiakanal Observatory of India.
The British observers at Christmas Island spent six months
468 ECLIPSES OF THE SUN
at the eclipse site in order to secure the check plates in ad-
vance of the eclipse and also that photographs might be se-
cured of the southern skies to be used for measuring the mag-
nitudes of the southern stars. The observers unfortunately
found conditions nearly identical with those experienced in
Sumatra at the eclipse of 1901. The skies were so covered
with thin haze or heavier clouds almost every night that
neither the check plates nor the other stellar photographs so
much desired could be secured. To add to the continued dis-
appointment of the observers, the sky was clouded during
the critical minutes on September 21 and no eclipse photo-
graphs were secured either by the English or by the German-
Dutch parties.
The Einstein equipment of the Lick Observatory party
consisted of one pair of lenses each of 5 inches aperture and
15 feet in focal length, and another pair of 4 inches aper-
ture and 5 feet in focal length. Each lens was a quadruplet
and the specifications required a flat field giving good star
images over plates 17x17 inches. The photographic films
were coated on plate glass a quarter of an inch in thickness.
Wallal, the headquarters of a sheep ranch on the bleak
shores of Northwest Australia, was chosen as the scene of
operations by the Lick and Canadian observers. It was
found not to be practicable to send an observer with the
Einstein cameras to Wallal three months or more before the
eclipse in order to mount and adjust the cameras and secure
the necessary check plates in the night skies, and conse-
quently it was decided that Trumpler should secure these
plates in Tahiti in the Southern Pacific where the living con-
ditions were more kindly. The latitude of Tahiti (17° 32'$)
differed little from that of Wallal (19° 45' S) and it was
thought that the temperatures at night at Tahiti would differ
little from those by day at Wallal. Dr. Trumpler, in spite
of much interference from clouds, secured the necessary
plates, not only with each of the four Lick objectives but with
the two Canadian cameras as well.
As an extra precaution, it was decided to photograph on
each plate taken at Tahiti not only the critical star group
where the sun would be projected at the time of the eclipse,
EINSTEIN THEORY VERIFIED? 469
but also an auxiliary group having the same declination but
with a right ascension six hours farther east. The night be-
fore the eclipse, the photographic plates to be used for the
first half of the eclipse set were exposed to the auxiliary
group, while the second half of the eclipse plates were ex-
posed to the star group at night following the eclipse. The
use of the second star group thus furnished a double check
on the accuracy of the eclipse photographs and by their means
it was hoped to eliminate completely any systematic er-
rors that might possibly creep into the Tahiti plates be-
cause of their not having been actually taken at the eclipse
site.
The Australian government set a high standard of scien-
tific cooperation. All eclipse observers were carried by rail-
road free of charge from Sydney to Freemantle and return.
They were transported by ship from Freemantle to Broome
and then to Wallal and return. The heavy equipment,
weighing about thirty-five tons, was landed on the beach
and transferred a mile and a half inland to the observing
camp. The labor needed for this and for most of the opera-
tions required by nearly a month's stay at Wallal, including
complete sleeping and dining service, was rendered entirely
gratis. In the estimation of Director Campbell * " the hos-
pitality extended, the interest shown, and the assistance of-
fered, were of a standard higher than I have ever observed
in any other part of the world on any occasion."
The population of whites in the Wallal region numbered
only six persons. Many serious obstacles had to be overcome
in the short time available before the instruments were erected
and accurately adjusted. Perhaps the greatest trials were
the dust and the flies. The eclipse site was in the bed of an
extinct lake, and on account of the small annual rainfall the
ground was very dry and a cloud of fine dust was raised at
each step by a person walking, and a gentle wind carried it to
all portions of the plate holders and optical parts of the deli-
cate apparatus. In order to attempt to keep down the dust,
five blacks were continuously employed throughout the
whole stay, carrying coarse sand and distributing it on the
1 Publ. A. S. P., 35, n, 1923.
470 ECLIPSES OF THE SUN
ground surrounding the instruments. On the morning of
eclipse day, September 2 1 , green boughs were cut from trees
and placed on the ground and water plentifully sprinkled
around in order to attempt to diminish the radiation from
the heated soil. Fortunately for the observers, the work of
adjusting and erecting the apparatus was not interfered with
by clouds. Only occasionally during the month's stay at
Wallal were clouds seen and these never appeared far above
the horizon.
The account (loc. cit.} by the director of the Lick Ob-
servatory of the preparation for the eclipse gives one an
inkling of the reasons why the Lick-Crocker expeditions have
established such a splendid record for scientific work accom-
plished at eclipses. The Lick program is always carefully
planned, the equipment is the very best that modern engi-
neering can supply, the apparatus is thoroughly tested at
home so that when it arrives at the eclipse site it can be read-
ily erected and adjusted. Added to the above is the vast
experience gained by the successful observations of eclipses
in all quarters of the globe during the past thirty years. The
author wishes to pay high tribute to his friend, the director
emeritus of the Lick Observatory and also to the friends of
the Observatory whose scientific interest and financial back-
ing have made the Lick-Crocker expeditions possible.
On eclipse day, September 2 1 , in Wallal not a single cloud
was visible from morning to night — the astronomers could
not therefore lay the blame on the weather if their photo-
graphs turned out unsuccessfully.
The most important problem for this eclipse was unques-
tionably the photographs for testing the Einstein problem.
The measurements of the Lick plates by Campbell and
Trumpler (Lick Observatory Bulletin, No. 346) are of the
high precision one naturally expects in work emanating
from the Lick Observatory. The methods adopted were the
same as those of the British astronomers in 1919 and the
Canadians in 1922 and consisted essentially in comparing
each of the eclipse plates with a check plate of the same
stellar region but with the sun absent. The most important
sources of error that could influence the results were:
EINSTEIN THEORY VERIFIED? 471
1. Distortions of the star places by the optical parts of
the apparatus.
2. Disturbing effects in measuring the star images of the
eclipse plates on account of being superimposed on the back-
ground of the corona.
3. Systematic distortion in the film of the eclipse photo-
graphs. Ross * has shown that the blackened part of the
corona should dry more quickly than the balance of the plate,
possibly resulting in a contraction of the film towards the
inner corona.
4. Abnormal refraction 2 in the earth's atmosphere on
account of the cooler temperature inside the shadow-cone of
the moon.
5. Refraction 3 in an extended solar atmosphere.
6. A " yearly refraction " suggested by Courvoisier.4
Unfortunately, the stars surrounding the sun were very
weak at the 1922 eclipse, there being only two stars brighter
than the ninth magnitude within i° of the sun's center,
while in 1919 there were seven stars brighter than the sixth
magnitude in a similar area. It was necessary to prolong
the exposures to secure as faint stars as possible. Exposures
of 2 mins. and 2 mins. 5 sees, respectively, were given for
each of the Einstein cameras. During totality two plates
were secured with each camera, there being two cameras
of i5-foot and two of 5-foot focus, the exposures starting
10 sees, after the beginning and stopping 10 sees, before the
end of totality. The check plates secured in the night skies
in Tahiti were given exposures of three minutes. The results
given below are those from the measures of the four plates
with the i5-foot camera (ratio of aperture to focal length
1:36). Stars of photographic magnitude 10.5 showed meas-
urable images, the first time in the history of eclipse work
that such faint stars have been photographed. In the process
of the work the positions of 118 separate stars altogether
were measured, while about 50,000 settings were necessary to
accomplish this.
1 Astro physical Journal, 52, 98, 1920.
- A. Anderson, Nature, 104, 1919-20; Poor, Science, 57, 613, 1923.
3 H. F. Newall, Monthly Notices, R. A. S., 80, 22, 1919.
4 Beob, Ergebn. Sternw. Berlin, 15, 1913; A. N., 211, 205, 1920.
472 ECLIPSES OF THE SUN
The star images on the eclipse plates were round and sym-
metrical. The present writer has found in his experience in
measuring stellar photographs that a fogging of the plates
by daylight, moonlight, or other causes, renders the edges of
the star images ill-defined and fuzzy in appearance; conse-
quently, one is not surprised to learn from the Lick report
that the stars on the eclipse plates were not as sharp in ap-
pearance as those on the check photographs. The focus,
however, was of the very best.
The details of the measurements and reductions cannot be
given here. It was necessary to correct the measures for the
effects of proper motion and annual parallax of the stars, for
differential refraction and aberration, and for the inclination
of the plates to the optical axis. Ten stars of the eclipse field
and three of the auxiliary check field had proper motions of
known amount and of sensible size. One star ( Beta Virginis )
has a measured parallax of o".io, and three other stars had
hypothetical parallaxes which were derived from their known
spectral classes and proper motions.
Arranging the stars according to their distances from the
sun's center, the group means were formed and are given in
the following table:
GROUP MEANS OF OBSKRVI D RADIVL DISPL \CKMI NTS
Mean Dnt. Ol»cri''d CorraCd Einstrin
Group Stars from Sun rad. dispL rad. displ. Thcorv
O II ft If
1 8 0.64 + .64 + .6q -f .70
2 ii 1.06 + .35 + .46 + .37
3 10 1.40 + .30 + .39 + .24
4 8 1.66 -f .16 -f .22 + .17
5 Q i. QO + .17 + .21 + .13
6 8 2.00 -f .15 + .17 + -ii
7 II 2.22 + .08 + .08 + .08
8 T3 2.55 — .oq — .14 + .02
Q 14 2.97 — .04 — .08 — .03
It is at once noticeable that the measures are in remark-
able agreement with the values predicted from the Einstein
theory; even the stars, far removed from the sun's center
and well outside the region of the denser corona, showing the
light-deflections well marked.
.32
62
i".88=*='
'.27
6Q
i ".So
.22
77
1.62
.22
81
1.48
.22
80
1.91
.19
84
1.89
1.76
.22
85
1.76
EINSTEIN THEORY VERIFIED? 473
The Einstein deflections are inversely proportional to the
angular distance from the sun's center, and reducing the
values for the separate stars to the amount at the sun's limb,
then there results for the four pairs of plates the values given
below:
LIGHT DEFLECTION AT THE SUN'S LIMB
Pair Campbell No. of Stars Trumpler No. of Stars Plate Mean
i i".72 =
3 1-78
4
Mean for each
observer i".6o*=".i4 i".78=*=".n
Mean from four plates l//.72.±"n
Einstein value I/7-745
In addition, the star field was divided into four quadrants
so that the sun's equator passed through the middle of two
of the quadrants and the sun's axis of rotation through the
other two. The stars in each quadrant were solved sepa-
rately by least squares with the results below:
Quadrant No. of Light deflection
Stars at Sun's limb
Preceding sun's equator 24 i".6i*=".2&
Following sun's equator 2Q 1.68 .25
At sun's north pole 18 1.76 .26
At sun's south pole 21 1.73 .24
Mean of equatorial quadrants ... 53 1.63 .15
Mean of polar quadrants 30 1.76 .18
Mean of plates 92 1.72 .11
These magnificent results obtained with the two cameras
of i5-foot focus furnish unmistakable evidence that there is a
bending of the light rays from the stars as these rays pass
close to the edge of the sun and that the amount of the
deflection agrees remarkably closely with that predicted by
the Einstein theory,
This theory, however, not only predicts a total deflection
of i".75 for a ray of light just grazing the sun's surface, but
it also requires that the deflections from the other rays shall
474 ECLIPSES OF THE SUN
vary inversely proportional to the angular distances from
the center of the sun. It was for the purpose of testing this
distance law that Campbell obtained photographs with the
two cameras of 5 -foot focus. These lenses were built on
lines similar to those of 1 5-foot focus. The plates of
17x17 inches covered a very large field of fifteen degrees
square. Six plates were secured during totality. The eclipse
photographs show between 400 and 500 stars, of which only
135 to 140 of the best defined images suitably distributed
over the plates were selected for measurement. Although
the scale is only one-third of that secured with the plates of
i5-foot focus the observed probable error is only 1.6 times
greater.
The difficulties encountered in trying to establish the law
of distances is two-fold. In the first place, the corona sur-
rounding the sun is so bright that it obscures and hence pre-
vents the obtaining of observations close to the edge of the
sun where the deflections are large. However, the chief diffi-
culty is that the exact scale of the eclipse plates is unknown
and can be obtained only from the observations themselves.
Since the scale of the plate is directly proportional to the
distances measured, the distance law is superposed on that
of scale, and the two cannot be separated unless there is a
large range of distances to be considered.
A masterly discussion l by Campbell and Trumpler of the
plates taken by the 5-foot cameras gives the deflection at
the sun's limb of i".&2± ".15. Combined with the results
from the 1 5-foot plates, noted above, the measured deflection
of the Lick 1922 photographs turns out to be i".fj$±".og]
in exact agreement with the value predicted by the general-
ized theory of relativity.
In consequence of the difficulties of separating the Einstein
deflection from the scale of the photographs, noted above,
confirmation at other eclipses is desirable. At the eclipse of
1929, the expedition from Potsdam 2 employed two cameras
for measuring the relativity shift. The results from four
plates from the 28-foot horizontal camera used with coelo-
1 Lick Observatory Bulletin, 13, 130, 1928.
2 Zeit. fur Astrophysik, 3, 171, 1931.
EINSTEIN THEORY VERIFIED? 475
stat have been published. Freundlich, von Kliiber and von
Brunn find from their plates a relativity displacement at the
limb of the sun amounting to 2". 24, a value which not only
differs greatly from the 1922 Lick results but also contradicts
the value predicted by Einstein. Moreover, in rediscussing
the measures of the 1 5-foot Lick photographs, the Potsdam
astronomers find a value of 2 ".05, greatly in excess of the de-
flection i ".7 2 derived by the Lick observers from their own
plates. The larger value obtained from the 1922 plates seems
possibly to confirm the Potsdam results from the 1929 eclipse.
It is very unfortunate that the star field at the 1929 eclipse
was ill suited to attain the highest accuracy, for the reason
that of the total of 18 measurable star images on the Pots-
dam plates, 17 of the stars were on one side of the sun and
only one star on the other side. This poor distribution
brought serious complications into the determination of the
exact scale value of the plates. A rediscussion of the 1929
results by Jackson * gave 1^.98 as the value of the Einstein
term. A more thorough discussion by Trumpler derives the
deflection from the Potsdam plates of i".75 instead of the
much larger value of 2 ".2 4. This large difference does not
come from a radical change in methods of reduction, which
are practically identical, but rather from the different method
of deriving the scale value of the plates.
After reviewing all of the computations for the eclipses of
1922 and 1929, Trumpler ~ comes to the conclusion that the
Lick discussion of the 1922 plates is the more reliable, and
also that the value of i"-75 for the 1929 eclipse is entitled to
greater confidence than the larger Potsdam value for the
reason that the systematic trends in the Potsdam residuals
are thereby eliminated.
Adopting Trumpler 's reductions, the following table gives
the results for the 1919, 1922 and 1929 eclipses for the ob-
served deflections reduced to the sun's limb. The extreme
distances from the center of the sun at which stars were
measured are also given. The values are in excellent agree-
ment with the prediction of Einstein, for not a single ob-
1 Observatory, $4, 292, 1931.
2 Zeit. fur Astrophysik, 4, 208; PubL A. S. P., 44, 167, 1932.
476
ECLIPSES OF THE SUN
servation, except the plates of poor definition obtained with
the astrographic lens at Sobral (p. 448), differs from the
predicted value by more than twice the probable error.
STELLAR DEFLECTIONS OBSERVED AT THE IQIQ AND 1922 ECLIPSES
Eclipse
Expedition
Focal | N°' No. of
Len«thi' Plates, Stars
Ang
Dist
from
("enter
Deflection
at Limb
Authors
IQIQ
May 29
(Sobral
j Sobral
(Principe
iQft. 7 , 7
ii i 1 6 I 6-12
ii ! 2 i 5
i°-5
i 5
i 5
i" Q8d=" 12
o 86± i
i 6i± .3
[Dyson
I Eddington
(Davidson
fWalial
10 2 l8
2 6
* 75± .3
f Young
1 Chant
IQ22
Sept. 21
| Cordillo
<; Downs
1
5 ' 2 , 14
2 Q
i 77± -3
fDodwell
\Davidson
\Vallal
15 4 ^2-85
3 4
1 72zh II
Campbell
Wallal
5 6 135-140
10 4
i 82=fc 15
Trumpler
Freundlich
IQ2Q
May 9
Takengon
28 4 17-18
2 0
i-75± .13
• von Kluber
von Brunn
Neglecting the one value at Sobral (as was done by the
British astronomers), the weighted mean value for the rela-
tivity deflection reduced to the sun's edge is:
1".79±".06
No other effect or combination of effects can confirm in
such an adequate manner the observed deflections of eclipse
plates as can the Einstein prediction. Hence it must be
concluded that eclipse plates have abundantly verified the
theory of relativity. It must not be assumed, however, that
thereby the theory has been proved to be true. No amount
of observational confirmation can furnish indisputable proof
of a law of Nature. Even one exception to the great law of
gravitation would make it necessary to discard the law or to
revise it.
The theory of relativity is based on the notion that it is
impossible to observe absolute motions and that all of our
knowledge is derived from motions which are relative. The
theory has been very successful in interpreting observations
in many different branches of physical science. Einstein
c
o
w
3
S a
§ "o
3s
^ .£f
EINSTEIN CAMERA OF THE KYOTO EXPEDITION AT THE 1934
ECLIPSE
EINSTEIN THEORY VERIFIED? 477
extended the theory to the more precise observations fur-
nished by astronomy and derived a new law of gravitation.
The motions predicted by this new law differ from those de-
rived from the Newtonian law by quantities that are so very
minute that they can be tested only as the result of very
refined observations. The Einstein law has been superior to
the Newtonian law ( i ) in explaining the motion of the peri-
helion of Mercury, (2) in interpreting the stellar deflections
observed on eclipse plates, and (3) in explaining the ob-
served shifts to the red of lines in the solar spectrum com-
pared with terrestrial standards. The spectroscopic prob-
lem is a very complicated one with many different factors to
be considered. It will be necessary to obtain additional ob-
servations before the spectroscopic test is regarded as entirely
conclusive.
The question now (1935) before astronomers is whether
we shall accept the observed value of the deflection at the
sun's limb of ir/-79± ".06, found on page 476, as a satisfac-
tory confirmation of the value i".75 given by the relativity
theory. In tabulating these values the author has considered
them worthy of greater confidence than the larger displace-
ments, between 2".o and 2 ".2 at the sun's limb, derived (loc.
cit.} by Freundlich, von Kliiber and von Brunn.
The differences between the two sets of reductions show
the underlying difficulty of the whole problem, namely, the
practical impossibility of adequately separating the scale of
the plates from the star deflections. According to the opinion
expressed by Freundlich and von Brunn,1 the problem de-
mands for the scale of the plates the excessively high accuracy
of no less than one part in one hundred thousand! It need
hardly be added that nowhere has this accuracy been attained
in the past. Therefore it would seem to the man in the street
an evident consequence that the work must be repeated at
future eclipses and with far greater accuracy than in the past.
Such a recommendation appears obvious — but unfortu-
nately Wright " has found that no one of the star fields of any
total eclipse of the future including that of February 25, 1952,
1 Zcit fur Astrophysik, 6, 218, 1933.
- Pitbl. A. S. P., 45> 25, I933-
478 ECLIPSES OF THE SUN
is adequate to give reliable information concerning the rela-
tivity displacement.
Measures by Wright * of photographs of the eclipse of
April 28, 1930, by the 36-inch Lick refractor offer " no sup-
port for the suggestion that has been made that the Einstein
effect may be a consequence of abnormal refraction within the
cold shadow of the moon at the time of a total eclipse of the
sun."
There are still many doubting Thomases for whose benefit
it will be necessary to accumulate additional observations.
The author wishes to state that he is one of those who believe
that the Einstein theory of relativity has been abundantly
verified by astronomical observations.
Accepting the truth of the relativity theory, de Sitter in
1917 brought forward his famous prediction that the veloci-
ties of very distant objects must show motions of recession.
At the time of his prediction, a few motions of distant spirals
were known as the result of observations made at the Lowell
Observatory. Since then many velocities have been accumu-
lated at Mt. Wilson, and they show almost without exception
that the spiral nebulae are receding from us with velocities
that apparently depend on the distances, the greater the dis-
tance, the greater the velocity. The largest velocity so far
found among the extra-galactic nebulae is -f 24,500 miles
per second.
The important point of de Sitter's theory was that it pre-
dicted the tendency of matter to scatter. This theory, how-
ever, was based on the assumption that space is utterly de-
void of matter — which is hardly in harmony with our ideas
of the physical universe. Opposed to the " de Sitter uni-
verse " is the " Einstein universe." The theory of the latter
assumes a uniform distribution of matter from which was
concluded a curvature of space so that the universe appeared
to be a sphere of finite radius. In such a universe the gravi-
tational attraction would exactly balance the tendency of the
spiral nebulae to scatter, producing static conditions. The
fact that the nebulae are receding with such high velocities is
directly contrary to the static universe of Einstein.
1 Publ. Amer. Astron. Socy., 8, 79, 1934.
EINSTEIN THEORY VERIFIED? 479
Apparently, therefore, the nature of our universe may be
intermediate between Einstein's " spherical universe/' con-
taining matter, and the " expanding world " of de Sitter, de-
void of matter. According to the theories of Lemaitre, as
developed by Eddington,1 the universe must be expanding at
a rate which is constantly increasing and ultimately the
nebulae must be separating at a speed greater than that of
light itself. Under these circumstances, they will be invisible
to us and will be " below our horizon." Possibly a great part
of the universe is already below our horizon.
The great difficulty is that the enormous velocities of the
nebulae now observed permit a time scale of a mere io10
years. At the expiration of this time, matter will cease to
exist. We might overcome the difficulty involved in the
theory of the expanding universe by assuming (since all mo-
tions are relative) that we ourselves are becoming smaller
and smaller. On this assumption, our terrestrial yardsticks,
the earth and the moon and the sun, and even the stars and
nebulae of our galactic system, are dwindling in size in the
same progression and will ultimately cease to exist.
Unfortunately, the time scale of years, colossal though it
be when compared with the span of human life, is far too small
to explain the life of the stars, or even of that star of great
importance to us, the sun.
In an important paper 2 written jointly by Einstein and de
Sitter, the conclusion is reached that an increase in the pre-
cision of the observations may enable us in the future to de-
termine the density of matter in the universe, and to fix the
sign and determine the value of the radius of curvature. Un-
fortunately, any further discussion of these problems now
of such vital interest to astronomers will carry us too far afield.
1 Monthly Notices, R. A. S., gi, 413, 1931.
2 Proc. Nat. Acad. Sciences, i8} 213, 1932.
CHAPTER XXIV
SHADOW BANDS
SHADOW bands have no astrophysical importance and
for that reason they will be treated here very briefly.
They are seen at the beginning and at the end of the
total phase of a solar eclipse, and they should, perhaps, be
mentioned in a treatise on eclipses even though they involve
meteorological rather than astrophysical problems.
The most complete observations of shadow bands at an
eclipse are those made on January 24, 1925. The reason is
that snow covered the ground throughout the whole of the
belt of totality with the result that each and every observer
was furnished with a white sheet on which the bands were
portrayed. Excellent descriptions of the observations are
given by Bassett.1
The 1925 bands were probably intensified due to the fact
that the time of the eclipse was early in the morning when
convection was active but probably confined to the lower
layers of the atmosphere, within 300 yards of the earth.
The general features of the observations agree with those
of earlier eclipses. The shadow bands were seen for two
or more minutes before totality and the same length of time
after totality. Some observers reported seeing bands twenty
minutes before totality, but such bands were probably caused
by heated air rising from furnace chimneys, and in several
cases this was proven at the time to be the cause. No ob-
servers regarded to be reliable reported the shadow bands
during totality.
The bright bands were generally observed to be broken and
confused arcs or short blotches of light, a third, a half, or even
a full meter in length. The dark band was usually reported
as having a width one-fifth that of the bright band, the dark
1 Popular Astronomy, 33, 232, 1925.
480
SHADOW BANDS 481
band being observed by different persons from £ inch to
2 inches in width, while the bright areas had a width varying
from 6 inches to i yard.
Naturally, in the estimation of the speed of travel of the
shadow bands, there was a wide range from stationary with
a shimmering light, to very fast motions of 30 miles per hour.
The general consensus of opinion of the very large num-
ber of observers taking part was that the shadow bands were
narrowest, most distinct, and most sharply defined immedi-
ately before and after totality, and that they became broader,
farther apart, and more indistinct until they disappeared,
with increase of width of the solar crescent.
At the October, 1930, eclipse, shadow bands1 were ob-
served. They were first seen about one minute before to-
tality and were visible for about twenty seconds. The dark
bands were about i^ inches in width and were separated
6 inches. Their motion was at the rate of 10 miles per hour
in a west by north direction which had no connection with the
direction of the wind at the time. They were seen also after
totality but not during totality.
Hastings pointed out many years ago that the motions of
the shadow bands must be perpendicular to their lengths,
otherwise the motions could not be observed, and that they
must lie approximately parallel to the crescent of the sun.
The shadow bands therefore can have no connection with the
direction of the wind, a fact which all observations seem to
confirm.
Most authorities agree in believing that the shadow bands
are caused by irregularities in the optical density of the
atmosphere, the crescent character of the sun magnifying the
effects of contrast in the bands.
In Handbuch der Astrophysik, 4, 353, 1929, a detailed dis-
cussion is given. As shown there, Humphreys considered
four theories for explaining the bands, only one of which will
be mentioned here.
The heated air commonly rises from the earth in numerous
isolated masses, and experience teaches us that when this
lighter air ascends in a connected column a whirlwind is es-
1 Popular Astronomy, 39, 241. 1031.
482 ECLIPSES OF THE SUN
tablished. The passage of light from the denser to the rarer
air may cause total reflection over a small area of the inter-
face. In reality there is a deflectional bending of the rays
as they pass through the shell exactly in the manner of the
inferior mirage, so commonly seen in summer over heated
streets and smooth roads. All the light from every object
included within the angle of total reflection would be wholly
excluded from that place on the surface of the earth which
it otherwise would have reached, and the light thus excluded
would be added to that in the adjoining place.
In this way, the crescent of the sun a few minutes before
and after totality must produce narrow dark bands which be-
come more distinct and more numerous, since smaller in-
homogeneities would then suffice, as totality is approached.
Each dark band should be bordered on one side by a narrow
strip of extra brightness. The dark band with bright border
would be much narrower than that of the intermediary
lighted strip between successive bands. Moreover, there
would be no uniformity in either the widths of the bands or
the distances between them. The bright edge of the dark
band would probably be difficult to observe on account of
the shimmering which is constantly in play.
Apparently, the shadow bands are caused by pseudo-total
reflections, or mirage effects, produced by the transition
shells between warmer and cooler adjacent masses of air in a
state of thermal convection.
CHAPTER XXV
THE ECLIPSES OF 1932 AND 1934
F I ^HE great majority of eclipse astronomers who at-
I tempted observations on August 31,1932, succeeded
JL only in witnessing sky conditions as if sunset, mid-
night and dawn had all come within the brief compass of two
minutes of time.
The eclipse took place in the midst of the holiday season of
the year along an easily accessible track passing through a
beautiful section of the country. Moreover, the meetings of
the International Astronomical Union had been timed to be-
gin, in Cambridge, Massachusetts, two days after the eclipse
had occurred. The result was that more astronomers at-
tempted to see and to observe this phenomenon than ever be-
fore in eclipse history. Every few miles along the moon's
shadow path, from Parent away north of the St. Lawrence
River in Quebec and eastward to the tip of Cape Cod, there
were expeditions of all sizes and descriptions, from amateur
equipment of small dimensions to the largest and most refined
of professional instruments, cameras, spectrographs, pho-
tometers, polarimeters, etc.
As the eclipse track lay in the St. Lawrence River Valley,
the expectations for clear skies were none too high. The areas
of low barometric pressures which bring clouds and rain in
their passage eastward over the great American continent
seem to acquire the habit of passing out through the St. Law-
rence Valley. The weather records for five years carefully
assembled for the purpose seemed to show that the mountains
in Vermont and New Hampshire possibly might attract clouds
and the Atlantic Ocean bring fog. In planning the details of
an eclipse expedition, an observer of eclipses must be a con-
firmed optimist in hoping always for clear skies. The three
astronomers, each with several eclipses to his credit, who ap-
483
484 THE ECLIPSES OF 1932 AND 1934
pear to have had the best average of luck with clear skies at
eclipses in the past were my friends Campbell, Miller and
myself. As Campbell was not to observe the 1932 eclipse,
the interesting question was, would it be a wise plan to locate
near Miller or myself? Or would the law of averages work
out with the result that we both should be avoided? Of
course, the careful scientist never believes in luck!
Unfortunately, the weather experienced at eclipse time,
particularly near totality, did not live up to the fifty-fifty ex-
pectations, clouds being the rule rather than the exception.
In fact, the skies were pretty generally overcast throughout
the whole of the eclipse path except for a hole here and there
through the clouds near where the sun was found at totality.
A partly clear patch greeted the expedition from Greenwich
Observatory at Parent. Similar conditions, a little better or
a little worse were experienced as far east as the St. Lawrence
River. It was cloudy in Montreal and cloudy generally east-
ward where there were large well-equipped expeditions
throughout Quebec, Vermont and New Hampshire. At the
boundary between New Hampshire and Maine a few clear
patches of sky brought partial success to parties from Lick,
Michigan, Van Vleck and Georgetown Observatories. Nearer
the Atlantic, where conditions promised less, were found the
clearest skies of all.
As a whole, the well-prepared plans of the various expe-
ditions accomplished comparatively little, though success
through propitious skies was met here and there. Perhaps
with the irony of fate, many of the astronomers assembling for
the meetings of the International Astronomical Union who
had little or no eclipse experience and who wished merely to
see the gorgeous spectacle were given clear skies, though at
times rapid trips in automobiles had to be made in directions
towards which the clouds appeared to be breaking, while vet-
eran observers with refined equipment and big programs were
doomed to disappointment. The largest group of instru-
ments at any one location was at Magog, 100 miles east of
Montreal. Here were the British party under the direction of
Professor Stratton of Cambridge, a Canadian party from
McGill University, Dr. Minnaert from Holland and an Ameri-
I
5 §
83
MOON'S SHADOW IN 1932 AT FIVE-SECOND INTERVALS
Photographed by Captain A. W. Stevens from National Geographic Magazine.
THE ECLIPSES OF 1932 AND 1934 485
can expedition from the Leander McCormick Observatory.
Four nations were represented, a total of thirty instruments
and sixty astronomers on eclipse day. Many of us had been
there a month living at the Hermitage Country Club. On the
rough ground between two fairways of the golf course, we had
wielded pick and shovel, and hammer and saw. We had been
civil engineer, electrical engineer, photographer, physicist
and astronomer all rolled into one.
On eclipse day clear skies remained with us all morning.
At noon clouds began to gather. Would they clear away in
the hours before totality? Unfortunately, as time pro-
gressed, conditions went from bad to worse. First contact
was observed through heavy clouds. At times a little thinning
of the clouds appeared now and then. Two minutes before
totality, the sun's crescent appeared which permitted the solar
beam to be adjusted into position in the powerful concave
grating spectrographs. Would this semi-clear spot expand
and bring success or would it close up and bring failure? No
matter what the conditions, we decided to carry through our
programs. I was to give the signal " Go! " for the combined
eclipse camps. At the calculated time of totality, the sun's
crescent was still visible. Three seconds later this had disap-
peared and the signal " Go! " rang out. Totality had come,
and the steady count was heard : " one," " two," " three." . . .
There was a clear patch of sky directly overhead but there was
nothing but heavy clouds in the direction towards the eclipsed
sun. I in Quebec, and, a little farther along the eclipse track
across the international boundary in northern Vermont, my
good friend Miller were both experiencing the thickest clouds
either had ever met in the combined seventeen eclipses wit-
nessed. It has so happened that we have never observed the
same eclipse at the same spot and in 1932 we were located
closer together than ever before.
It would serve no useful purpose to attempt to give here a
detailed account of the many expeditions in the field or the
programs of observations attempted. Those interested may
readily find this information from the contemporary astro-
nomical journals like Popular Astronomy, Journal of the
Royal Astronomical Society of Canada, Publication of the
486 THE ECLIPSES OF 1932 AND 1934
Astronomical Society of the Pacific, Monthly Notices, etc.
An attempt will be made merely to give the outstanding ac-
complishments, arranging these from northwest to southeast
as the eclipse passed over the country.
Farthest north was the party from Greenwich Observatory
at Parent. On eclipse day it was cloudy practically continu-
ously. Twice during the morning the sun was glimpsed and
an opportunity was given for checking the position of the
45-foot camera. After noon there were one or two breaks in
the clouds, one of them about five minutes before totality.
" The corona x was seen before second contact, but the clouds
were thickening, and after mid-totality nothing was visible
until near the end when prominences and corona were again
faintly visible. . . . When the eclipse was over and before
the photographs were developed, it was expected that no re-
sults of value had been obtained." Fortunately, the photo-
graphs with the 45-foot camera and 2 i-foot prismatic camera
far exceeded expectations.
A reproduction of the flash spectrum at second contact
given facing page 492 shows a sudden termination of the cres-
cent lines of the spectrum particularly at the upper ends of the
arcs. The direct photographs show a distinct flattening of the
edge of the moon. To prove that this effect was real and not
apparent caused by irradiation, other photographs were meas-
ured. It was concluded that " there was a depression amount-
ing to 2" extending about 8° on each side of position angle
132 ° — the point of second contact." On account of the in-
creasing density of the clouds, the photographs taken toward
the end of totality showed nothing.
Jackson observed second contact visually three or four sec-
onds later than the corrected time furnished by the director
of the American Ephemeris shortly before the eclipse, while
the observed duration of totality was 99 sees, against 102 sees,
calculated. The retardation of second contact and the shorter
duration of totality are both readily explained by the flat-
tening of the moon's eastern limb.
Concerning the photograph of the flash spectrum, it will be
best to let the Greenwich astronomers, Davidson and Jack-
1 Monthly Notices, 03, 3, 1932.
THE ECLIPSES OF 1932 AND 1934 487
son, speak for themselves (loc. cit.}. " The photograph taken
at the first flash is very good. The lines are numerous and in
good focus from 3590 A to the limit of sensitivity of the pan-
chromatic plate, the helium line at 7065 A being shown. It is
not considered, however, that it will show any lines which
have not been photographed by one or another of the past
observers of flash spectra. Although heights might be de-
duced from the lengths of the arcs, these would be very un-
certain for the lower lines, on account of the irregularity of the
moon near the point of second contact. Many high level lines
which are visible 30° from the geometrical point of contact
are invisible 20° from it.
" The objective prism photographs were taken to show the
distribution of the various elements in the chromosphere and
prominences, and for comparison with the direct photographs
of the corona secured with the large coronagraph. As regards
wave-length determinations and the identifications of the ele-
ments in the chromosphere, the best spectra already secured
with objective prisms and gratings or with slit spectrographs
cannot greatly be improved on in the region covered by the
panchromatic plate except with more powerful instruments
under favorable circumstances."
The spectrum photograph immediately following the first
flash showed the high level chromospheric lines and also the
coronal lines at 5303 A in the green and 6374 A in the red.
The latter line is shown as a nearly complete ring of practi-
cally uniform intensity while the green line has its light con-
centrated near prominences. The 1932 eclipse thus confirms
the conclusions found on page 380 that these two strong co-
ronal lines do not have a common origin.
In addition to the excellent spectra, good photographs were
obtained with the 45-foot camera used with coelostat showing
the prominences and the brighter parts of the inner corona.
The holes in the clouds were more favorably placed near the
St. Lawrence River especially at Louiseville and Actonvale.
The most powerful equipment in this region was that of the
French party under the direction of the veteran eclipse ob-
server, de la Baume Pluvinel. The clouds broke immediately
before totality, permitting valuable observations on polariza-
488 THE ECLIPSES OF 1932 AND 1934
tion by Dufay and Grouiller, to which reference is made on
page 509. Not far away, parties consisting largely of ama-
teurs organized by the Royal Astronomical Society of Canada
made direct photographs of the corona and also observations
to locate the edge of the moon's shadow path.
At Montreal, and south and east of the St. Lawrence
through Quebec, Vermont and most of New Hampshire where
expeditions were located, the clouds permitted at best only
fleeting glimpses of the corona. East of the White Mountains
at North Con way, the clouds were just about as thick as those
experienced south from Montreal. A few miles farther south-
east at Center Conway and Fryeburg, totality began through
clouds but fortunately conditions greatly improved, though
thin clouds still persisted to the end of totality. Under such
conditions, happening during the excitement of a most un-
usual event, it is impossible for the eclipse observer to know
whether the clouds have actually thinned or whether the ap-
parent improvement results only from the fact that there is
no strong sunlight shining on the clouds to make them visible.
Few astronomers have had experience sufficient to serve as a
guide — but the developed photographs tell the tale. For-
tunately, the corona was photographed in excellent detail by
the Lick expedition (reproduced facing page 476) and by the
Van Vleck, Georgetown and University of Michigan expedi-
tions. Closer to the Atlantic Ocean, in the state of Maine, the
weather defied all rules with the result that conditions were
much better than expected. At Limerick, the U. S. Naval
Observatory party secured successful photographs of the co-
rona through thin cirrus clouds with 65-foot, 1 5-foot, and with
38- and 33-inch cameras. At Alfred, conditions were even
better, permitting the expedition from Japan to obtain pho-
tographs of the corona and flash spectrum. The Harvard
party at Gray had the best luck of all the expeditions in the
field. Thin cirrus clouds were present until noon, but a per-
fectly clear sky prevailed throughout the whole of the eclipse.
The program was chiefly photometric and was concerned with
measuring the relative proportions of scattering and polariza-
tion in the corona. The work was done both visually and pho-
tographically, plates being secured in six different spectral
THE ECLIPSES OF 1932 AND 1934 489
regions by using appropriate filters. Three out of four pin-
hole photometers at different localities were operated under
clear skies.
The Lick-Crocker expedition * at Fryeburg, with interest-
ing spectroscopic programs planned with powerful and va-
ried equipment, fortunately had good luck with the weather.
A total of ten spectrographs were employed, four for the
chromosphere and six for the corona. Although the sky was
never clear, conditions at the end of totality were much better
than at the beginning, with the result that the Lick spectra,
particularly those of the chromosphere, supplement those of
the Greenwich party far north at Parent where the clearest
sky was experienced at the beginning of totality.
For photographing the flash spectrum without slit, two
methods are described in Chapter XV, with fixed and with
moving plate. Each method has its advantages and its dis-
advantages. At Fryeburg it was wisely decided to try both
methods. In order to photograph as great a range of wave-
lengths as possible, two spectrographs were used with both
moving and fixed plates. Experience at former eclipses has
shown that with an objective prism, well-timed chromospheric
spectra may be secured with exposures of one second dura-
tion. In place of the usual type of objective spectrograph
with fixed plate heretofore used at eclipses, a new instrument
(loc. aY.) was designed for use at Fryeburg called a " jump-
ing film spectrograph. " Starting one minute before totality,
exposures each of one second were made every alternate sec-
ond. With a break for one long exposure lasting 30 seconds
at mid-totality, the film was continued in its steady and jump
motion until one minute after totality.
It is evident that with a long series of successful photo-
graphs taken with a jumping film, heights in the chromo-
sphere can be obtained by two methods: by measuring the
angular lengths of the chromospheric arcs or by noting the
appearance or disappearance of spectral lines on successive
photographs. This mechanical method of exposure has dis-
tinct advantages over that always followed by the writer of
observing with a direct-vision spectroscope and timing the ex-
1 Publ.A.S.P.,44,34i, IQ32.
490 THE ECLIPSES OF 1932 AND 1934
posures for the flash spectrum accordingly. At Fryeburg, the
mechanism and the observer did their work as planned, with
beautiful photographs as the result, though thin clouds of
variable thickness unfortunately covered the eclipsed sun.
Measures of the flash spectrum at previous eclipses have
shown that one-quarter of all chromospheric crescents visible
on the best photographs extend to the moderate heights of
300 kms or less above the photosphere and hence are covered
in one second of time by the advancing moon; two-thirds of
all lines of the flash spectrum are covered in the brief interval
of one second and a half. Evidently, if the one second visi-
bility for the low-lying lines happened to exactly coincide with
the exposure time of one second given by the jumping film
spectrograph, the observer should be congratulated on his
rare good luck. If, on the other hand, the film was being
changed during this one particular second, the developed pho-
tographs would show none of the lines of the lowest level. As
either of these two methods of exposure are equally probable,
it is obvious that this hit-and-miss method of making expo-
sures, on the average can not photograph the low-level lines;
also, notwithstanding the quick succession of photographs,
the observer will not know, and the photographs can not show,
just when the effective existence of the several chromospheric
strata began and ended.
The spectra taken by the jumping film at Fryeburg are su-
perior in quality to those taken with the moving plate. Fac-
ing page 493 *s a reproduction of the flash spectrum taken at
the end of totality by Menzel. The very rough character of
the moon's edge shown by this photograph will make the de-
termination of heights, particularly for lines of low level, a
difficult problem. It is unfortunate that at the 1932 eclipse,
the limbs of the moon both at second and third contacts were
so jagged. The long exposure spectrum taken at mid- totality
shows the green and red coronal lines with distributions of
radiation exactly similar in character to that found on the
Greenwich plates.
For the corona, six spectrographs were used by the Lick
party. Three instruments with slit placed east and west of
one, two and three prisms, respectively, permitted spectro-
THE ECLIPSES OF 1932 AND 1934 491
grams of excellent definition which record the spectrum of the
corona, especially that of its brighter parts, in great strength.
A marked feature of the three is the great intensity of the con-
tinuous spectrum of the inner corona and the number and
strength of the prominence lines. Only the stronger emission
lines are visible. For photographing in the red, two grating
spectrographs were used, one of concave, the other of plane
grating. With these no results were obtained. The sixth was
an interferometer spectrograph for the wave-length of the
green line with which successful photographs were obtained.
The results obtained from measures of these spectra are dis-
cussed on page 502.
Also at Fryeburg, the University of Michigan expedition
secured excellent photographs of the corona with a 4o-foot
focus camera pointed directly at the sun and also of the flash
spectrum with two-prism dispersion. In addition, large-scale
movie photographs were secured by the McNath-Hulbert
branch of the University Observatory with cameras of 74, 40
and 14 inches focus, respectively. Nearby, the party from the
Van Vleck Observatory successfully photographed the corona
with 25-foot focus and with smaller cameras. Photographs
obtained by these two expeditions are given in Popular As-
tronomy for October, 1 93 2 . A beautiful photograph obtained
by the Georgetown Observatory expedition is reproduced in
the National Geographic Magazine, 57, 600, 1932.
As was predicted on page 404, the corona was of the mini-
mum type with long equatorial streamers and pronounced
polar brushes.
The distinguished air-pilot, Captain Albert W. Stevens,
writes a thrilling account x of photographing the moon's
shadow at a height of five miles above the earth. Facing
page 485 are two of his remarkable photographs showing the
motion of the edge of the moon's shadow as projected on the
clouds at 5-second intervals. The end of totality is described
in the following words: " At this time the most remarkable
sight, except the corona itself, was the horizon, beyond the
shadow, to the northwest. The far edge of the shadow was
defined by a narrow band of a saffron color and was distinctly
1 National Geographic Magazine, 57, 581, 1932.
492 THE ECLIPSES OF 1932 AND 1934
seen to be curved. The air between seemed to be of an indigo
color. Under the airplane, through openings in the clouds,
the earth's surface, five miles below, could be dimly seen."
In addition to the observations made by the U. S. Army
pilot, the U. S. Navy also photographed * the moon's shadow
above the clouds. Among the other observers from airplanes,
mention will be made only of Clyde Fisher who states,2 " The
shadow of the moon was first seen, just a little before totality,
as a narrow band on this level sea of clouds, at a distance of
probably more than one hundred miles. As it approached it
became less distinct, less definite. . . . Upon development,
the picture seems to be well timed and it shows just enough
diminution of light to indicate the passing of the moon's
shadow. However, no edge is to be seen in the pictures, and
none was seen in our observation."
Thermometers were read at more than 200 stations in order
to record the drop in temperature during the progress of the
eclipse, the work being organized by the Blue Hill Meteoro-
logical Observatory.3 The widespread clouds which existed
at five different levels and played such havoc with the astro-
nomical observations were a blessing in disguise for the tem-
perature records. It was found that temperatures fell from
2 to ii degrees F., the smaller values occurring where clouds
were dense, the larger where the weather was clear and the
surface of the ground sandy. With the assistance of three
U. S. Navy airplanes, temperature records were made at
Fryeburg 4 at eight different levels above the ground at alti-
tudes of 5, 25, 50, 75, 100, 866, 3261 and 10122 feet, respec-
tively. The observations show ( i ) that the greatest range in
temperature occurred at the earth's surface, (2) that the
ranges decreased rapidly with altitude and (3) that the effect
of atmospheric refraction upon the deflection of starlight by
the sun during an eclipse is entirely negligible.
The total eclipse of February 14, 1934 was successfully ob-
served 5 from two small coral reefs, Losap and Laol, in the
1 Popular Astronomy, 41, 202, 1933.
2 Ibid., 40, 467, 1932.
3 Bull. Amer. Meteor ol. Socy., 13, 159, 1932.
4 Annals of the Dearborn Observatory, 4, 27, 1933.
5 Popular Astronomy, 42, 307, 1934.
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THE ECLIPSES OF 1932 AND 1934 493
far-off Caroline Islands. The National Research Council had
been authorized by the Imperial Japanese government to in-
vite astronomers the world over to be the guests of Japan for
the observation of the eclipse. Only two foreigners, however,
availed themselves of this generous offer, Dr. Willi M. Cohn
and J. J. Johnson, both of California. The Cruiser " Ka-
suga " of the Imperial Japanese Navy conveyed the eclipse
party on its eight-day voyage from Yokohama. Three busy
weeks were spent on the islands in preparation for the great
event. The largest part of the expedition was from the
Tokyo Imperial University under the direction of Dr. Satome.
A well-planned series of observations was carried out covering
the most important problems dealing with eclipses. Special
stress was placed on securing photographs to test the rela-
tivity displacement of star images, the 1934 eclipse being
specially favorable l because the sun was projected against an
unusually rich field of stars. In fact, for the next two decades
there will not be as favorable a star field for measuring the so-
called Einstein displacement. The party from the Kyoto
Imperial University duplicated most of the work on the
Tokyo program, Dr. Ueta secured the Einstein plates and
large-scale photographs of the corona.
Dr. Cohn used several cameras on a polar axis for measur-
ing the polarization of the sky near the eclipsed sun. Visual
observations were also made. Johnson's observations were
visual with a modified Lyot-type polarimeter.
As is usually the case with eclipse expeditions in the tropics,
there was a superabundance of clouds and rain during the
weeks of preparation. The morning of eclipse day brought a
great surprise. In describing the eclipse, Johnson writes,
" It was our good fortune to observe one of nature's rarest
treats, a total eclipse of the sun under absolutely perfect con-
ditions: clear blue sky for miles around, not the slightest sug-
gestion of haze or mist, a steady atmosphere — in short the
kind of eclipse which the astronomer dreams about but sel-
dom sees. The scientific results obtained from this latest to-
tal edipse are discussed in the following pages.
American astronomers can look back with great pride to the
1 Ibid., 40, 623, 1932.
494 THE ECLIPSES OF 1932 AND 1934
enviable record of achievements made in eclipse history as
recorded in the foregoing pages. Science, however, knows no
international boundaries, with the result that all eclipse as-
tronomers no matter what their nationality look confidently
to the future. Who are to be the fortunate individuals who
will observe the 1936 total eclipse? Will it be possible to ob-
serve, under conditions that promise success, the eclipse of
1937 with its seven-minute totality? Will South Africa live
up to its good reputation for clear skies in 1940? Discoveries
of great importance to solar physics will come only as the re-
ward of much careful planning and concentrated effort. In
the following pages a brief summary is given of the results
obtained from eclipse photographs in the past decade, or since
the appearance of the first edition of this book, and at the
same time there are outlined the main problems of solar phys-
ics now awaiting solution.
Since 1923 with its disappointing eclipse, observations have
been made in 1925, 1926, 1927, 1929, 1930 (April 28 and
October 21), 1932 and 1934. In the dozen years, there have
been nine total eclipses, one more than the average (see page
60). Four of the nine have been visible in the United States.
The weather conditions experienced for the nine eclipses have
probably been about average. The four eclipses observed in
the tropics, 1926, 1929, 1930 (Tin-Can Island) and 1934,
contrary to expectations, experienced better average condi-
tions of sky than the balance of five observed in temperate
zones.
The spectacular beauty of a total eclipse, observable at
times only by traveling, at great expense, great distances from
home, brings in its train a large body of observers, profes-
sional and amateur when, as in 1932, the eclipse track is near
at hand. One of the simplest problems to be attacked is the
direct photography of the corona. The camera employed
may be any size from the short focal length of a kodak to the
huge proportions used by the expert eclipse astronomer, the
greatest length heretofore used being 135 feet at the 1900
eclipse. For such large dimensions a coelostat is imperative.
At the 1919 eclipse, the relativity photographs showed quite
conclusively that coelostat mirrors may bring distortions.
THE ECLIPSES OF 1932 AND 1934 495
Hence the tendency in recent years has been to dispense with
the mirror. For focal lengths greater than fifteen feet, the
mounting has been the tower telescope. On Sproul Observa-
tory expeditions Miller and Marriott have used in this manner
focal lengths of 63 and 65 feet. In my opinion the definition
secured at the Tin-Can Island eclipse of 1930 had never been
surpassed. As is well known to expert photographers, the de-
tail appearing on plates of the corona depends on securing
well-timed exposures but also correct photographic develop-
ment of the photographic plates.
In preparing plans for the 1932 eclipse, Wright x decided
to abandon the long-focus tower telescope used at Lick Ob-
servatory expeditions since 1893 and to employ instead the
two lenses, each of s-inch aperture and 1 5-foot focal length,
used at the 1922 eclipse for the relativity shift. On account
of the thin clouds experienced throughout totality, the de-
cision evidently was a wise one. Certainly the definition ob-
tained by Wright in 1932 is quite up to the standard set by
Marriott at the 1930 eclipse.
Manifestly, it is much easier to erect at the eclipse camp,
sometimes an isolated spot on the globe, a polar axis brought
as a unit from home with which to mount a camera (or cam-
eras) of is-foot focus than to build a tower telescope of four
times this length, usually from materials found near the
eclipse camp and frequently with native workmen. Only
occasionally is it possible, as it was in 1930, to transport from
home to a distant foreign country the many thousands of feet
of lumber needed for the tower telescope. To build from na-
tive materials requires much experience and resourcefulness.
We may indeed well ask ourselves why it is that huge focal
lengths have been used to photograph the corona. Is it neces-
sary to have the diameter of the moon seven inches in the
original photograph? Why not secure negatives with one-
quarter the focal length and then enlarge four times if large
scale is desired? Little of detail in the original photographs
is lost in the enlarging processes while on the contrary faint
coronal details may be strengthened and accentuated. The
striving after great focal lengths reflects the trend in all as-
1 Publ A. S. P., 44, 34i>
496 THE ECLIPSES OF 1932 AND 1934
tronomical observations to use telescopes of greater and still
greater sizes. For observational work on stars, large aper-
tures and great focal lengths are necessary in order to secure
the most refined results. With the eclipsed sun there is no
need for great apertures. Is there need for great scale in the
original coronal photographs?
The answer to this question depends on many considera-
tions, but primarily on the scientific uses to which coronal
photographs are to be put. The relative costs of the two pro-
cedures should be taken into consideration. At the 1932
eclipse it was a comparatively simple matter to put all of the
eclipse equipment on a motor truck at Mount Hamilton, then
transport to a steamer in San Francisco and then from New
York to Fryeburg. It was even simpler for the Mount Wilson
expedition to put all of its equipment on a motor truck in
Pasadena and transport it directly across the whole continent,
a distance of 6000 kms, to the eclipse site at Lancaster. But
in the coming generation, American astronomers must travel
an average of one-third the way around the globe for each
total eclipse. In future eclipses the relative costs of trans-
porting a heavy polar axis from home and then erecting in the
field or transporting from home the lighter equipment of the
tower telescope and then building the double tower from local
materials will differ little. The cost should not be a deciding
factor — but in most observatories it must be considered.
After all, the problem is one primarily for American observa-
tories (and very few are involved) for the reason that the
heavy polar axes to carry wide-angle lenses to measure the
gravitational displacement of stars during totality and tower
telescopes are the contributions of America to eclipse history.
Each observatory interested will have to provide its own
answer regarding the best equipment for it to use for direct
photography of the corona. Unquestionably, there is much
to be said in favor of securing photographs of great scale by
tower telescopes.
The present writer would like to raise another question,
namely, what scientific use is being made (other than that of
providing important historical documents) of the long series
of large-scale coronal photographs accumulated by Lick,
THE ECLIPSES OF 1932 AND 1934 497
Greenwich and other observatories? At the same time we
might ask, what scientific uses are being made of photographs
to the hundreds of thousands, of solar details like sun spots
and prominences accumulated through long series of years by
many observatories? The answers to these questions and to
many others of similar nature dealing with solar problems can
furnish topics of valuable discussions for many future sessions
of the Solar Physics Commission of the International Astro-
nomical Union.
Fortunately, photographs of all scales, except the small, are
of great value for determining the shape of the corona by the
method devised by Ludendorff and described on page 401.
Recently two articles on this subject have appeared, one x by
Ludendorff, the other 2 by Bergstrand. On account of a slight
error in Ludendorff's published formula, the values given on
page 402 must be altered in two cases. For the 1922 eclipse,
the corrected value for the quantity a is + o.oi, and for
by + 0.22; and for the 1930 eclipse the values should read
+ 0.03 and + o. 2 2, respectively. For the 1932 eclipse, Miss
Williams derived values for the ellipticity from measures of
photographs, and found a was + 0.05 and b, + 0.22, the
value for the spot numbers being 6. For the same eclipse Lu-
dendorff, from fewer photographs, derived values for a and b
of + °-°6 and + o-M? respectively. Measures of 1932 coro-
nal photographs, however, showed quite conclusively that
values of a and b from photographs by one camera were quite
consistent among themselves but differed systematically from
values from other photographs. Details cannot be given here
but will appear in the forthcoming volume of Handbuch der
Astrophysik.
For the eclipse of February 14, 1934, the shape of the co-
rona was determined from an excellent photograph by Satome
reproduced facing page 500 and from isophotes furnished in
advance of publication by Cohn from photographs polarized
in directions at right angles to each other. The ellipticity of
the corona in one of Cohn's photographs differs radically from
the ellipticity of the companion photograph polarized in a
1 Sitz. Preuss. Akad., Phys. Math. Kl., 16, 1934.
2 Arkiv. Mat. Astr. och Physik., 25 A, No. 4, 1934.
498 THE ECLIPSES OF 1932 AND 1934
plane perpendicular, thus showing the same effect displayed
by the pair of photographs taken at the 1908 eclipse, repro-
duced facing page 388. The shape of the 1934 corona was de-
rived by following the Ludendorff method and determining
separately the ellipticities of the photographs polarized in the
two directions, and then taking the mean, the results being
confirmed by measures from the Satome photograph. For
this eclipse, a was found to be + 0.08 and b, + 0.14, making
a + b equal to +0.22. The value of " spot numbers " (page
402) is 8, the spots being on the increase. The eclipse took
place 0.2 years after the sun-spot minimum.
As shown on page 402, values of a differ little from eclipse
to eclipse while there is quite a range in the values of b. Lu-
dendorff has adopted a + b, or the ellipticity of the corona at
a distance of one radius from the edge of the sun, or two radii
from the sun's center, as the best measure for ascertaining the
shape of the corona. To derive the relative activity of the sun
in the i i-year cycle there is a wealth of published material on
both spots and prominences. For the sun spots, it has seemed
wisest always to derive a mean from values spread over a
whole synodic revolution of twenty-seven days, that is, a
mean of thirteen days both before and after and also the day
in question. The values for " spot numbers " on page 402,
derived from information published at Zurich, correspond to
average values referred to the day of the eclipse. In a similar
way, Ludendorff derives values for the spot numbers for one,
two and three months, respectively, before the eclipse, for the
average annual value, and also for the phase in the sun-spot
cycle depending on the times of sun-spot maxima and minima.
In a similar way (loc. cit.} corresponding values are found
from prominences. With these values in hand, Ludendorff
plots as abscissae various sun-spot (or prominence) numbers,
and as ordinates the values (a + #) representing the shapes
of the various coronas. An attempt to pass a smooth curve
through any one of the individual graphs shows that the 1918
eclipse falls far distant from any curve. With a total of eight-
een eclipses starting in 1893, measured and plotted in a uni-
form manner (leaving out of consideration the discordant
eclipse of 1918) it is difficult to say which of the dozen curves
THE ECLIPSES OF 1932 AND 1934 499
makes the best fit or shows the closest correlation between the
shape of the corona and solar activity.
Bergstrand uses LudendorfP s measures of a and b and de-
rives for each eclipse a coronal number p and an ellipticity JEi.
These are plotted against the different numbers found from
spots and prominences, and smooth curves are again drawn.
It is true that these plotted points lie closer to the curves (the
1918 eclipse is still discordant) than do the similar points
plotted against (a + 6) by Ludendorff. However, the num-
bers p and £1 used by Bergstrand are not very sensitive to
changes in the shape of the corona as is shown by the fact that
throughout the period from one year after spot maximum
until one year after spot minimum there is very little varia-
tion in values of either of the two Bergstrand quantities.
For the eclipse of 1900, the value of (a + 6) which is equal
+ 0.30 is the greatest of any of the eighteen eclipses consid-
ered, or the eclipse in the last year of the i9th century showed
the most pronounced " minimum-type " corona with long
equatorial streamers and pronounced solar brushes. The
average value of the probable error of a + b is ^t .03. Those
familiar with the theory of least squares realize that indi-
vidual values may readily have discordances of two or three
times the probable error. In addition to the accidental errors
(represented by the probable error) there may be systematic
errors as was shown by the 1932 eclipse. If there is an active
sun spot or prominence at the sun's edge there may be a long
streamer in the corona, as was shown (page 404) by the 1930
eclipse, which might cause changes in the measured shape of
the corona.
Taken all in all, it is too much to expect that the rough
method of deriving the shape of the corona could possibly give
points that would lie close to a smooth curve. With a total of
only eighteen points, one of them (1918) very discordant, it
is not worth while to waste time to find which of the many
curves gives the closest correlation between coronal shape
and sun-spot or prominence data.
The accompanying curve gives as ordinates the values of
100 (a + 6) and as abscissae the values of the phases in the
sun-spot cycle, O in the middle of the diagram representing
500
THE ECLIPSES OF 1932 AND 1934
spot minimum. The — signs signify that the spots are de-
creasing from maximum, at the left of the diagram, towards
minimum, and the -f- sign that the spots are increasing in
numbers after minimum has passed. The curve was drawn to
fit as well as possible all of the observations including the co-
rona of 1918. It is unfortunate, however, that the six points
on the left side of the diagram representing the shapes of the
corona in the years following maximum of sun spots are on the
whole quite discordant while the other twelve eclipses to
the right are more consistent and hug the curve much more
closely. Two eclipses of the six, those of 1896 and 1898, tell
quite different stories in that the corona of the earlier year
was more elliptical in shape than that of two years later. The
I I I I I
only method of determining a more exact connection between
the shape of the corona and solar activity will be to acquire
more observations, particularly on the left side of the curve,
which may be done only by observing future eclipses in the
nineteen-forties.
Various other graphs were made connecting coronal shapes
with spot or prominence numbers, but all of the curves with-
out exception, no matter what spot or prominence numbers
are plotted, tell the same story exhibited in the curve plotted
to sun-spot phase. The most pronounced minimum type of
corona does not take place exactly at sun-spot minimum.
From the curve it is seen that two and a half years before spot
minimum the corona is quite as elongated as it is at the time
of minimum of spots, or phase O in the curve. The most elon-
gated corona is found one and a quarter years before mini-
mum of spots, and likewise the corona closest in shape to a
§
I
w
o
it
O o>
I!
1
COHN AND JAPANESE ASSISTANTS (ABOVE) AND JOHNSON (BELOW)
AT THE 1934 ECLIPSE
THE ECLIPSES OF 1932 AND 1934 501
circle takes place one and a quarter years before spot maxi-
mum.
The recent minimum occurred at the year 1933.9 and hence
the 1932 eclipse took place 1.2 years before spot minimum,
almost at the highest part of the curve. The 1 934 eclipse took
place very close (0.2 years after) to spot minimum. With
a + b equal + 0.22 it is evident that the corona had lost its
minimum type characteristics. The 1936 corona taking place
24 years after spot minimum should be intermediate between
minimum and maximum types. It and the 1937 eclipse will
fill gaps in the curves connecting the shape of the corona and
sun-spot numbers.
When arranged according to phase in the sun-spot cycle,
the eighteen eclipses fall naturally into six groups of three
eclipses each as given in the table. The mean values for the
phases are given below. The three eclipses, 1900, 1922 and
THE SHAPE OF THE CORONA AND SUN-SPOT PHASE
1908 - .78 ' 1896
1918 - .87 , 1898
1929 — .83 i 1930
- -67
- -47
-•57
1900
1922
1932
— .17 i 1901 — .04 1914 + .25 ! 1893 4- .82
- .15 | 1923 -f .02 i 1925 -f .31 1905 + -85
— .24 , 1934 -h .04 ^ 1926 -f .50 1927 -h -81
Mean — .83 j
- -57
- .19 I -f .01 + .35 + .83
1932, each of which showed so beautifully the so-called
" minimum type " of corona had a mean phase of — .19,
while the " maximum type " of corona of the three eclipses
1893, I9°S and J927 had + .83 for the average mean phase.
From the table it is evident that eclipses should be divided
into maximum and minimum types and into two types (rather
than one type) intermediate between maximum and minimum
and between minimum and maximum.
The astronomers of the world have been greatly thrilled by
the skillful work of Lyot in photographing the corona without
an eclipse. A later publication * than those alluded to on page
419 gives the details of his valuable work. The great triumph
of Lyot resulted from his ingenious arrangement of his tele-
scope to reduce to a minimum the amount of instrumental
scattered light. A mountain observatory on the Pic du Midi
(9100 feet) permitted photographs at times when the sky was
1 Zs. /. Astroph., 5, 73, 1932.
502 THE ECLIPSES OF 1932 AND 1934
exceptionally clear, or when the intensity of scattered sky
light was less than five-millionths that of the sun. By com-
bining the coronagraph with a spectrograph it was possible to
determine the wave-lengths of both the green and red coronal
lines. A concave grating gave a dispersion of 1.2 A per mm
and a prism arranged Littrow type gave a dispersion in the
green of 5 A per mm. This large scale of wave-lengths per-
mitted Lyot to measure the width of green line with the sur-
prising result that the total width is 1.2 angstroms.
" As a consequence of having 36 spectra of large dispersion,
it was naturally assumed that the wave-length of the green
line had an accuracy greater than had resulted from eclipse
spectra. Similar conclusions were drawn for the accuracy of
the red line. At the 1930 eclipse, Mitchell had eight spectra,
on all but two of which measures were made of the wave-
length of the green line on both E and W limbs of the sun.
The wave-length is therefore the result of fourteen inde-
pendent measures with a dispersion of 10.9 A per mm. For
the red line there were eight separate measures on six spectra.
The wave-lengths and probable errors are given, together
with similar values by Lyot.
Lyot Mitchell
5302.85 ± .03 5302.91 ± .02
6374.75 ± .15 6374.28 ± .03
It is evident that Lyot's claim of greater accuracy and a
similar claim in Monthly Notices, 93, 2 78, 1933, of " an accu-
racy far greater than that obtained hitherto " cannot be sub-
stantiated as is shown by the sizes of the probable errors.
By means of a Lyot telescope constructed x at Mount Wil-
son, Pettit and Slocum secured direct photographs of promi-
nences.
No coronal wave-lengths have yet (1935) been published
for the 1932 and 1934 eclipses. After many unsuccessful at-
tempts at previous eclipses (page 385), a photograph of the
green line has finally been secured by the interferometer. At
the 1932 eclipse this method was tried by the members of
three different expeditions. Farthest west, Carroll had a
THE ECLIPSES OF 1932 AND 1934 503
beautifully designed instrument, but again he had bad luck
with the weather, and his record now is four cloudy eclipses in
four attempts. At Fryeburg there were two interferometers,
at the University of Michigan and Lick expeditions. By
means of a double slit on the Lick1 interferometer, an at-
tempt was made to photograph fringes both E and W of the
sun. At one limb there was no trace of the green line but on
the other it was strongly photographed. Although fringes
were very distinct in the comparison lines, no evidence of
fringes were visible in the coronal line and measures with a
microphotometer revealed a mere suggestion of the correct
periodicity. Lyot's photographs explain the absence of
fringes, namely, that the surprising width of the green coronal
line of one angstrom would permit distinct fringes only with a
very small separation of the interferometer plates, which un-
fortunately would entail a very low accuracy in the wave-
lengths. Hence in the moment of triumph of securing the
first photographs of the coronal line with the interferometer
there is the realization that further attempts must be aban-
doned. This must be a keen disappointment to those astrono-
mers who have spent so much time and energy and money in
perfecting the interferometer to secure accurate wave-lengths
of the green line. The disappointment, however, is part of the
game of being a scientist.
At the 1930 eclipse, Mitchell's photographs (page 377)
showed both the green and red coronal lines in the short ex-
posures given for the flash spectrum. It is therefore not sur-
prising to find that with the Mt. Wilson tower telescope Bab-
cock has obtained the green coronal line on photographs of the
chromosphere without an eclipse. On the original photo-
graphs (which the writer has seen) the 5303 line is so wide
and hazy that an accurate wave-length is impossible in spite
of the large scale of the photographs. Adams and Joy2 at
Mt. Wilson make the surprising observation that five coronal
lines, 3987, 4086, 4231, 5303 and 6374, were present at one
stage of the outburst of the Nova-like RS Ophiuchi.
The best wave-length for the green line is 5302.90 ± .02
1 Publ A. S. P., 44> 358, 1932.
2 Ibid., 45, 301, 1933.
504 THE ECLIPSES OF 1932 AND 1934
which is derived by combining, with equal weights given to
each, the Lick-Mt. Wilson value of 5302.93 (page 374) and
the Lyot and Mitchell values. For the red line, perhaps the
best method will be to combine the Lyot and Mitchell values
with weights depending on the probable errors. The derived
value is 6374.30 =fc .03, in close agreement with the labora-
tory value of neutral oxygen at 6374.29 A.
The great difference in the wave-lengths of the two best
values for the red line amounting to nearly half an angstrom
shows the need of new determinations. Until more accurate
values are obtained for the whole coronal spectrum, it seems
a waste of time to devote much energy to deciphering the rid-
dle of coronium. Since the date of the attempts recorded on
page 382, other individuals have made widely published
claims. The consensus of well-informed opinion l seems to be
that although it is quite probable that neutral oxygen may
eventually be found to be one of the chief constituents of
coronium, at present that fact is far from being proved.
In the first burst of enthusiasm over Lyot's remarkable
work, it was thought by many that another eclipse problem,
that of coronal wave-lengths, could be attacked when there
was no eclipse. Success on an isolated mountain peak like
Pic du Midi requires remarkable transparency of sky and
conditions of seeing which come but seldom. In cost such an
expedition is commensurate with that of an eclipse expedition.
Through perseverance, Mt. Wilson may finally succeed in de-
riving accurate wave-lengths for the green and red coronal
lines. Of equal importance, however, are better wave-lengths
for the balance of the coronal lines. At present there seems to
be no method of securing this information so badly needed for
finding the origin of coronium, than by the use of well-
designed spectrographs during the total phase of an eclipse.
Photographs which give accurate wave-lengths of the fainter
lines of the corona will of necessity give a greater accuracy for
the brighter green and red lines so that eventually we may be
able to ascertain something about the rotation of the corona,
a subject concerning which we know practically nothing.
At the 1932 eclipse, photo-electric cells were used at many
1 R. Frerichs, Die Naturwiss., 48, 849, 1933.
THE ECLIPSES OF 1932 AND 1934 505
expeditions in attempts to measure the light of the corona.
At Magog, we had two separate set-ups of Weston Illumina-
tion Meters, and we were fortunate in that E. F. Weston was
there in person. An automatic record was made of the sky
illumination near the North Pole starting before daylight and
continuing throughout the whole day until after dark. An-
other set of sixteen cells was directed towards the sun and the
field of illumination was confined to a circle of 8° in diameter
with the eclipsed sun in the center. Although clouds pre-
vailed during totality, the records were sent to Dr. M. Min-
naert who in part reports, " It is easy to show that during the
partial phases the illumination of the sky surrounding the sun
was chiefly due to direct solar radiation, but during totality
the illumination was due mainly to reflection of the light from
points outside the path of totality. " Although the clouds at
Magog were denser than they were (for instance) at Frye-
burg, one seems compelled to raise the question whether the
Fraunhofer lines shown in the spectra of the corona taken by
Moore at this eclipse are the result of coronal radiation or
whether they are not in part caused by sunlight reflected by
the thin clouds which were present throughout totality. On
the photographs, the effects would be greatest at the begin-
ning and the ending of totality.
In this connection it is well to again raise the question, al-
ready raised on page 397, as to what information we have
from previous eclipses regarding the total light of the corona.
Regarding the measures of the illumination of corona plus sky
by means of illuminometers, one competent photometric au-
thority states,1 " There can be no objection to anyone meas-
uring the normal illumination on a completely exposed test
plate at the time of totality if he is convinced of the utility
of so doing. Trouble, however, may ensue when the results of
such measurement are seriously put forward as indicative of
the amount of light which the corona is giving."
The light of the corona which has been seen to extend to the
enormous distance of ten million miles from the sun's surface
has three separate spectra (page 382): (i) the bright line
spectrum of " coronium," (2) a continuous spectrum in the
1 Jour. Opt. Socy. America, 23, 234, 1933.
506 THE ECLIPSES OF 1932 AND 1934
brighter inner corona, and (3) a Fraunhofer spectrum in the
middle and outer corona. Recently very substantial progress
has been made in investigating the continuous spectrum and
also the dark line spectrum, and thereby valuable informa-
tion concerning the physical origin of the corona has been
given.
At the eclipse of 1929, with three different spectrographs,
Grotrian l secured spectra of the corona which were compared
with the solar spectrum taken with the same instruments but
diminished in intensity by known amounts. Measurements
made with the microphotometer give the following interesting
results, (i) The position of the energy maximum in the co-
rona is independent of the height in the corona and agrees
exactly with the energy maximum of the solar spectrum. (2)
Within errors of measurement, the distribution of energy in
the coronal spectrum is independent of height in the corona
and is identical with the intensity of radiation in the solar
spectrum. These measures confirm the conclusions of Luden-
dorff l from the 1923 eclipse. After many long years of un-
certainty, at last we seem to know for certain that the color of
the corona is identical with that of the sun, or, in other words,
the corona appears to shine from scattered sunlight.
In the remarkably clear sky at the 1922 eclipse (page 383),
Moore seemed to prove conclusively that the Fraunhofer lines
in the middle and outer corona have their origin in the corona
itself and are not caused by sunlight scattered by the earth's
atmosphere. By means of a microphotometer, Grotrian 3
measured the widths of the stronger Fraunhofer lines in the
coronal spectrum taken with one prism at the 1923 eclipse.
These widths were compared with those of the solar spectrum
taken by the same spectrograph and weakened by known
amounts. In every case the widths of lines in the coronal
spectrum were compared with the widths in both stronger and
weaker solar spectra. All observers heretofore had thought
that the lines in the coronal spectrum were both wider and less
distinct than similar lines in the sun. On the contrary, Gro-
trian's measures show that although the dark lines in the co-
1 Zs. fur Astrophysik, 3, 199, 1931.
2 Sitz. d. preuss. Akad. d. Wiss., 5, 83, 1925.
3 Zs. jur Astrophysik, 8, 124, 1934.
THE ECLIPSES OF 1932 AND 1934 507
ronal spectrum certainly appear less distinct than in the solar
spectrum, and moreover that the dark lines are much more
prominent in the outer corona than in the inner, nevertheless,
the widths of the coronal lines are the same at all distances out
from the sun's surface, and within errors of measurement, are
identical in width with the corresponding lines in the solar
spectrum. From similar measures carried out on the 1922
and 1932 eclipse spectra, Moore l confirms Grotrian's meas-
ures of the 1923 eclipse spectra.
Leaving out of consideration for the time being the bright
line spectrum of coronium, which remains a perplexing
eclipse problem, it is evident that the coronal spectrum
consists of two spectra overlapping each other, the con-
tinuous and the Fraunhofer. The 1923 spectrum showed
Fraunhofer lines superposed on the dark moon. On the as-
sumption that these were caused by scattered coronal light,
either in the earth's atmosphere or in the spectrograph, Gro-
trian was able to apply corrections to the measured intensities
of the dark lines in the coronal spectrum. These corrected
intensities show that near the sun's edge the continuous spec-
trum is considerably stronger than the Fraunhofer spectrum
so that no dark lines are visible, due to lack of contrast,
though no doubt they are there. At increasing distances from
the sun, the intensity of the continuous spectrum falls off
more rapidly than the dark line spectrum. At a distance of
about one solar radius, the intensities of the two spectra are
equal and the Fraunhofer lines then become the more readily
visible in the outer corona. From what has been said on page
505, it is quite unsafe to assume, especially under the con-
ditions experienced at the 1923 eclipse, that the dark lines
of the spectrum superposed on the face of the moon were
actually caused by scattered coronal light rather than by
sunlight scattered by the earth's atmosphere especially at
times near the beginning and ending of totality. This, how-
ever, is a mere detail that affects the relative intensities of the
continuous and Fraunhofer spectra at different distances from
the sun's edge, but it in no way detracts from the remarkably
fine work of Grotrian.
1 Publ. A. S. P., 46, 298, 1934.
508 THE ECLIPSES OF 1932 AND 1934
According to Rosseland,1 the corona has " stimulated specu-
lation to the breaking point, it being even suggested that there
we witness our recognized physical laws set at naught by
nature herself." As a result of many theories of the corona
(page 415), it is now generally recognized that the electron
must play an important role in explaining the radiation of the
corona. If the continuous spectrum is caused by free elec-
trons which scatter the solar radiation, Rosseland finds that
at a temperature of 4000° K, the average thermal velocity
of the electron would cause a Doppler effect of the order of
ten angstroms. As a result, all of the dark Fraunhofer lines
will be wiped out? with the exception of the broad wings of
the H and K lines.
Electron scattering therefore, furnishes an adequate ex-
planation of the absence of dark lines in the spectrum of
the inner corona and also is in conformity with the fact that
there is no difference in color of the corona from the sun. But
how explain the dark lines in the outer parts of the corona?
If the electron is to be the agent, then it is necessary to find
some process whereby the random velocities of the electrons
may be slowed down to such an extent that the Doppler ef-
fects will not obliterate the Fraunhofer lines. It is scarcely
possible to assume a temperature in the middle corona less
than 2000° K which would cause a Doppler effect of about
seven angstroms. We might, if we please, assume some un-
known (as yet) influence from positrons or that the sun's
magnetic field or some other unknown source might gradu-
ally slow up the electron velocities at distances of 10' from the
sun's surface. If, indeed, there were a gradual slowing up of
the electrons, this would cause the Fraunhofer lines to be
broader in the middle corona and sharper in the outer corona
— which is not in accord with the facts.
Under the assumption that the light of the corona is caused
by the superposition of a continuous spectrum over a dark
line spectrum, it is necessary to conclude that electrons are
present everywhere throughout the corona. As atoms and
ions are present in the inner corona causing the bright line
spectrum of coronium, it has been thought by many that
1 University Observatory, Oslo, Publ., No. 5, 1933.
THE ECLIPSES OF 1932 AND 1934 509
ionized atoms must be the cause of the dark lines of the
coronal spectrum. We do not see how it would be possible
(page 417) for atoms to exist in the outer corona in appre-
ciable numbers and moreover they would cause a Rayleigh
scattering and a distribution of intensity in the corona dif-
ferent from that in the sun — which again is not in accord
with the facts.
After discussing many possibilities, Grotrian is forced to
the conclusion that the sun's light is scattered by solid par-
ticles with diameters greater than three times the wave-
length of light which would cause a scattering of sunlight
without change in color. Close to the sun (page 411), solid
particles would be immediately vaporized but at greater dis-
tances there would be an increasing number of solid particles;
in fact, in the zodiacal light we have independent evidence of
the existence of such material in interplanetary space. By
making plausible assumptions, Grotrian shows that the sur-
face brightness of the outer corona bears to the brightness of
the zodiacal light a ratio of about the right order of magni-
tude. This marks a partial return to the theory of Arrhenius
(page 410). Within one radius of the sun's surface we must
regard the electron as the scattering mechanism but farther
out the interplanetary dust does most of the scattering.
The eclipses of 1932 and 1934 have cleared up many ques-
tions regarding the polarization of light surrounding the sun
at the time of totality. Polarization measures must be the
result of a combination of the partly polarized light from the
corona and the unpolarized light in the earth's atmosphere.
The measures of Young (page 388) showed that the per-
centage of polarization in photographic light was about
three times greater than in visual light, which was explained
by the assumption that the coronal radiation is Rayleigh
scattering from atoms and ions. If however, the corona is
due to scattering by the electron, then the amount of polari-
zation must be the same in photographic as in visual light.
Dufay and Grouiller l show that at the eclipse of 1932 the
amount of polarization is independent of wave-length and is
a maximum of 26 per cent at 10' from the sun's edge. At
1 C. R., 196, 1574, 1933.
510 THE ECLIPSES OF 1932 AND 1934
the eclipse of 1934,* from visual measurements, Johnson finds
a maximum of 28 per cent polarization at 8'. 5 from the sun's
limb, a result in good agreement with the 1932 eclipse.
Fortunately many of the difficulties that retarded progress
in our understanding of the corona have been cleared away.
The assumption that the corona consists essentially of free
electrons permits us to apply the theory of Minnaert.2 When
knowledge progresses still farther and we learn more about
the physical laws that govern matter under solar conditions,
we may be able to find an explanation for the dark lines in
the coronal spectrum that is simpler than the assumption that
they are caused by the scattering of the sun's light by in-
terplanetary dust.
For future progress we need more and better spectra of
the dark lines in the coronal spectrum taken under clear skies
devoid of water vapor in order to be certain that the Fraun-
hofer lines are coronal in origin and do not come from sun-
light scattered in the earth's atmosphere. We need more
and better spectra of large dispersion in order to get more
accurate wave-lengths of the bright line spectrum by which
to find the origin of coronium and the rotation of the corona.
In spite of the splendid achievement of Lyot, new information
regarding the corona will come entirely from eclipse expedi-
tions, and observations will be accumulated at the average
rate of one minute of time per year.
Eclipse expeditions are still needed in the future to secure
additional information about the chromosphere. In pages
294-98, the author gave recommendations for future work.
He would like to clarify his meaning by urgently recommend-
ing the use of both fixed and moving plates for securing photo-
graphs of the flash spectrum. In addition he would like to
quote the opinions of the Greenwich eclipse observers.3
" The great need for the future appears to be accurate pho-
tometric intensities of the lines, especially of multiplets, and
these can only be determined when a comparison spectrum
can be secured with the same instrument. The comparison
1 Publ. A. S. P., 46, 226, 1934.
2 Zs. fur Astrophysik, i, 209, 1930.
8 Monthly Notices, pj, i, 1932.
THE ECLIPSES OF 1932 AND 1934 511
spectrum must be obtained from the uneclipsed sun or an
artificial source, and for this a collimator and slit are neces-
sary. But it is not necessary to use a narrow slit in taking
the eclipse spectra. In 1927, Minnaert used a wide slit, and
there appears to be no reason why the slit should not be
widened still further, perhaps even to take in the whole of
the sun." In 1932, it might be added, Minnaert employed
a modest little instrument without coelostat mirror or clock
mechanism. At future eclipses, the aluminizing of mirrors
should permit spectra to be photographed to shorter wave-
lengths in the violet.
INDEX
Abbe, 150, 152, 370
Abbot, 105, in, 116, 120, 123, 166,
174, 182, 391, 396, 406, 411, 419
aberration, 427
Abetti, 279, 328
Abney, 373, 396
absorption in sun's atmosphere, 116, 147
absorption of water vapor, 88
absorption spectra, 88
accelerations of moon's motion, 69
accuracy needed in gratings, 88
accuracy of eclipse predictions, 67
Adams, C. E., 224, 376
Adams, E. D., 199, 202
Adams, W. S., 73, 283, 289, 292, 29^,
298, 321, 326, 328, 337, 34S, 374,
458, 465, 503
advantages of gratings, 104
age of earth, xiii
age of pyramids, 23
age of sun, xiii
airplane photography, 205, 491
Airy, 31, 103, 133, 134
Albrecht, 374
Aldrich, 397
alkali metals, 309
Almagest, 10, 18, 68
Ames, 165, 193
Anderson, J. A., 213, 216, 280, 296
Anderson, W., 415
Andrews, 394
Angstrom, 94, TOO, 101
anomalous dispersion, 458
appearance of sun's surface, 115
Aristotle, 38
Arnold, 216, 221
Arrhenius, 409, 410
astigmatism, 105
Aston, 236
astrology, 17, 18
astronomical instruments, early, 22, 25
astronomical unit, 108
astronomy, early, 17; Chaldean, 17;
Chinese, 17; Egyptian, 17, 19;
Greek, 17, 37; Roman, 18; Arabian,
18
atmosphere of moon, 6$
atmosphere of sun, 116, 147, 149
atom, Bohr-Sommerfeld, 239, 242, 276,
292, 299; structure of, 226; trans-
formation of, 230; Rutherford
model, 234; positive-ray analysis;
236; mass confined to nucleus, 236;
chemical and physical properties,
237; Lewis-Langmuir, 237; ex-
planation of 4686 A, 245
atomic numbers, 235
atomic weights, 235
aurora borealis, 123, 336, 409
authentic dates, 19, 20
Auwers, 123
Baade, 219
Babcock, 463, 503
Babylonian calendar, 18
Babylonian eclipses, 9
Babylonian lens, 17
Bacon, 396
Baily's beads, 129, 267
Baker, 372
Balmer series, 240, 243, 244, 245, 309
Barnard, 159, 165, 174, 182
Bartoli, 409
Bassett, 480
Baume Pluvinel, 487
Becker, 391
Becquerel, 227, 228
beginnings of astronomy, 17
Belanovsky, 394
Bergmann, 240
Bergstrand, 391, 393, 395, 401, 402, 406,
497, 499
Bernheimer, 403
Bessel, 409
Bigelow, 408
black body, 97
black drop, no, 130
Block, 374
Bohr, 312
Bohr-Sommerfeld atom, 239, 242, 276,
292, 299
Bosler, 374
Bourget, 385
Bowen, 381, 416
Brackett, 244
Bradley, 427
Bredichin, 409
Briggs, 396
bright line spectrum, 76, 95, 97
Brown, 40, 68, 70, 71, in
Buisson, 385, 457, 459
514
INDEX
Burns, 280, 348, 352, 374
Burton, 175, 181
Burwell, 289
Butler, 60, 130, 200
calcium spectrum, 144
calculation of an eclipse, 62
calendar, of Chinese, 5; of Babylon,
18; of Egypt, 21, 24; revision of, 21
Campbell, 163, 168, 189, 198, 209, 221,
251, 260, 262, 273, 279, 368, 370,
374, 375, 376, 377, 4i7, 4^9, 4^4
Carrasco, 374
Carrington, 320
Carroll, 503
Cavendish, 465
celestial latitude, 48
celestial longitude, 48
changes in prominences, 261
changes in sun-spots, 84, 109
Chant, 467
chemical elements, 234, 306
Chester, 183
Chevalier, 117
Chinese eclipses, i
Chinese science, 5
chromosphere, 108, 135, 147
chronology, 2, 5, 9, 19, 20, 27
chronology, change of Biblical necessary,
19, 27
circulation of solar gases, 342, 4°4
Clerke, 16, 82, 119, 129, 370
clock, Egyptian, 22
Coblentz, 213, 215, 396
Cohn, 493, 497
collimator, 254
color of sky during totality, 201
comet discovered during eclipse, 153
comets' tails, 409
composition of chromosphere, 353
composition of sun, 72, 98, 100
composition of sun's atmosphere, 345
concave gratings, 104, 248
Confucius, 6
constellations, astronomical, 15, 23
constitution of sun, 72, 98, 100
contacts, 65, 259
continuous spectrum, 97
Copernicus, 423
corona, xv, 23, 108, 131, 139, 140, 143,
147, 163, 360
corona as Egyptian symbol, 24
corona compared with intensity of full
moon, 395
corona, intensity laws, 390
corona photographed, 8, 9, 12, 13, 148,
164, 197, 209, 212, 213, 273, 349,
364, 365, 400, 425, 448, 449
corona, polarization of, 387, 497
corona, shape of, 364, 399, 417, 497
corona, spectrum, 140, 148, 152, 154,
156, 161, 373, 382, 502, 506
corona, total light, 395, 505
corona without an eclipse, 155, 418, 501
coronal structure seen in different wave-
lengths, 371, 373, 380
coronal theories, meteoric, 407, 509;
mechanical, 407; electrical, 408;
magnetic, 408 ; electro-magnetic,
408; radiation-pressure, 409; elec-
tron, 414, 508
coronium, 140, 149, 152, 374, 376, 381,
4i7, 504
coronium lines in Nova, 503
Cortie, 289
Cottingham, 447
Courvoisier, 471
Cowell, 9, 30, 31, 38
creation, 14
crescent lines, 221
Crew, 165
Crommelin, 446
Crookes, 231
Curie, xiv, 227
Curtis, 210, 213, 215, 280, 368, 374, 385
curvature of space, 466
cylindrical lens, 80
darkening at limb of sun, 116
dark lines in solar spectrum, 75, 79, 91,
95, 97, 141
date of Easter, 37
dates, earliest authentic, 18, 20
Davidson, 249, 250, 278, 280, 374, 375,
376, 378, 380, 446, 486
Debierne, 230
de Bruin, 382
decimal system of Egypt, 21
delicacy of spectroscopic test, 82
De Lury, 321, 322
density gradients in chromosphere, 284,
356
density of sun, 112, 123
de Sitter, 478, 479
Deslandres, 105, 139, 161, 373, 418
development of photographs, 363, 495
development of spot, 84, 109
diameter of sun, 48, in, 123
diameters of eclipse tracks, 44
diffraction of light, 84, 157
diffraction spectrum, 84, 104
Dingle, 382
Dinwiddie, 178
dissociation theory, 146, 156, 162
distance of moon, 39
distance of sun, 108
distances of stars, 73, 77
INDEX
515
disturbance in corona, 209
D-lines, 82, 93, 96, 137, 307
Doppler effect, 340, 343, 384, 456, 458,
460
Dorsey, 388
Dufay, 488, 509
Duner, 320, 321
duodecimal system, 16
duration of partial phases of eclipses, 46
duration of totality, 45
Dyson, 165, 218, 374, 376, 380
early Chinese records, 5
earth a sphere, 38
Ebert, 408
eclipse of 1652, 360; 1706, 131; 1715,
128; 1778, 128, 132; 1780, 129;
1836, 91, 129; 1842, 130, 135; 1851,
134, 135; 1860, 134, 387; 1868, 137,
142; 1869, 139, 142, 148, 370; 1870,
141, 148, 151, 247; 1871, 142, 147,
148, 151; 1872, 142; 1874, 142;
1878, 151, 388, 451 ; 1882, 153, 373 ;
1883, 155, 373; 1886, 158, 373, 396;
1887, 159; 1889, 159, 396; 1893,
160, 364, 370, 373, 396, 402; 1896,
161, 370, 376, 402; 1898, 162, 260,
370, 373, 376, 396, 402; 1900, 164,
167, 260, 364, 373, 374, 376, 387,
402; 1901, 168, 370, 373, 374, 376,
402; 1905, 183, 251, 252, 260, 374,
376, 396, 402; 1908, 251, 260, 373,
374, 376, 396, 402; 1912 (partial),
125, 287; 1914, 125, 364, 374, 402;
1916, 364; 1918, 191, 364, 370, 374,
376, 396, 402; 1919, 421, 444, 446,
454,461; 1921 (partial), 288; 1922,
364, 373, 374, 376, 383, 396, 402,
449, 467; 1923, 126, 203, 370, 402;
1925, 69, 126, 211, 252, 364, 374,
376, 396, 402; 1926, 215, 249, 250,
364, 374, 376, 396, 402; 1927, 216,
250, 364, 402; 1929, 220, 364, 374,
376, 402, 474; 1930, 127, 222, 251,
364, 37i, 374, 376, 402; 1932, 483
et seq.; 1934, 492 et seq.
eclipses, Chinese, i ; Babylonian, 9 ;
Egyptian, 23; Biblical, 27; classical,
29; Thales, 30; Xerxes, 32; Julius
Caesar, 35; eclipse of B.C., 2137, i;
1063, 9; 791, 27; 776, 8; 771, 27;
770, 27; 763, 10, 19, 27, 54; 720,
8; 669, 19; 661, 19; 603, 32; 592,
7; 585, 3i; 552, 7J 549, 7; 495, 7;
431, 32; 424, 33; 413, 34J 364,
34; 310, 34
eclipses of past and future, 55
eclipses that did not occur, B.C., 645,
592, 552, 549, 7J of Xerxes, 32; of
Julius Caesar, 35
eclipses visible in a year, 58
eclipses visible in the United States, 56 ;
in the British Isles, 58; in Spain, 58
ecliptic, inclination of moon's orbit to,
39, 48
ecliptic limits, 49
Eddington, 346, 411, 416, 420, 435, 441,
447, 466, 479
Egyptian astronomy, 19
Egyptian chronology, 20
Eichelberger, 174
Einstein, 205, 421, 443, 479
electrons, 102, 108, 232
elements, 234, 306
elevations, differences caused by, 268
enhanced, 163, 246, 311
Epynom canon, 18
equivalence, 440
ether, 425
Evans, 245
events, 433
Evershed, 162, 165, 297, 321, 326, 340,
343, 349, 458, 460, 464, 467
evolution, 72, 113, 318
excitation potential, 313, 339
Exner and Haschek, 105, 303
expenses of expeditions, 139
Fabry, 385, 396, 412, 457, 459
faculae, 118, 123
Faye, 320, 322
first photograph, 135
Fisher, 492
Fitzgerald, 427
flash spectrum at partial eclipses, 287
flash spectrum, discovered, 141 ; photog-
raphy necessary, 147 ; improvements
in observing, 157; photographed in
1896, 161; photographed in 1898,
162; enhanced lines, 163; gratings
used in 1900, 168; advantages of
various spectrographs, 248; method
of timing photographs, 258; mov-
ing plate vs. fixed plate, 261 ; jump-
ing film, 489; intensities compared
with Fraunhofer spectrum, 268,
309; determination of heights, 271;
effects of seeing, 274; discussions
of, 277 ; self -absorption in, 283, 286;
density gradients, 284, 356; at a
partial eclipse, 287; general con-
clusions, 2Q3 ; recommendations for
future eclipses, 294, 510; without
an eclipse, 289
flocculi, 108, 300
516
INDEX
focus of eclipse spectra, 248
Forbes, 91, 130
Fotheringham, 3, 9, 30, 31
Foucault, 93, 100
four-dimensional space, 422, 466
Fowle, 123
Fowler, 105, 160, 241, 245* 275, 276, 287,
314, 343, 373, 374, 376, 378
Fox, 92, 134, 209
Fraunhofer, 76, 101, 123
Fraunhofer lines, 75, 79, 9*» 95, 136, 143,
152, 268, 269, 275, 277, 281, 293,
303, 350, 382, 383, 406, 407, 506
Freeman, 381
Frerichs, 382, 504
Fresnel, 425
Freundlich, 216, 220, 475, 477
Frost, 165, 374
furnace lines, 315
future eclipses, 55, 510
Gale, 458
Galileo, 423
Gallo, 210
Gare, 396
Geiger, 231, 234
geodesic, 435
Gill, no
Graff, 391, 396, 401
granulation, 116
gratings, 84, 104, 157, 168
gratings and prisms compared, 104, 248
grating spectrum, 85, 104
gravitation, 421, 443
Grotrian, 312, 374, 375, 376, 378, 379,
5o6, 509
Grouiller, 488, 509
Hale, 105, 139, 289, 328, 331, 4i8
Hall, 141, 455
Halley, 128, 131, 134, 451
Halm, 321, 322, 323, 325, 458
Hammond, 197
Hansen, 31, 68, 71
Hansky, 117, 367, 418
Harkness, 140, 141, 151
Hartmann, 79
Harwood, 393
Hastings, 156, 481
Hayn, 125, 126
heat of corona, 174
heights of solar vapors, 165, 271, 319
heliometer, 77, no, 123
helium, xiv, 137, 239, 270, 309, 359
Herodotus, reliability as historian, 32
high-level lines in sun, 304
high-temperature lines, 308
Hills, 161, 162, 374, 376
Hind, 31, 63
Hipparchus, 17, 31, 38
historian, 2, 32
Holden, 396
Hooke, 425
Hopfield, 382
Horn d'Arturo, 216, 369
Hubble, 414
Hubrecht, 321
Huff, 168
Huggins, 103, 138, 155, 158, 239, 408,
418
Hull, 409
Humphreys, 105, 165, 457, 481
Hussey, 368
hydrogen, 136, 149, 152, 239, 270, 310,
355
Hylleraas, 382
intensities in flash spectrum, 268, 304
intensities of spectra of electric arc and
sunlight, 93
intensity of coronal light, 395, 506
intra-Mercurial planets, 153, 174
invisible sun-spots, 332
ionization, 299, 311
ionized atoms, 233, 246, 311
irradiation, 124, 126, 127
isotopes, 235
Jackson, 475, 486
Janssen, 68, 103, 116, 137, 141, i52>
156
Jeffreys, 455
Jewell, 105, 174, 178, 254, 456, 457
Johnson, 221, 493, 510
Jones, 467
Joy, 503
Julius, 458
Kaufmann, 228
Kayser, 105, 240, 253, 275, 282, 425
Kelvin, 421, 425
Kepler, 18, 73, 131, 423, 451
Kimura, 120
King, A. S., 105, 314, 345
King, E. S., 213, 393, 397
King, L. W., 9, 12
Kirchhoff, 73, 92, 94, 99, *35, *44
Kirchhoff laws, 97
Knopf, 396
knowledge, how derived, 434
Kohlschiitter, 210
Krakatoa, 170, 411
Kunz, 395, 396, 419
Lalande, 451
Langley, 105, 115, 118, 141, iS1* i°8
Larmor, 120, 427, 466
law of coronal intensity, 390
INDEX
517
law of diffraction spectra, 85
law of gravitation, 421, 443
laws of spectrum analysis, 97
Lebedew, 409
length of month, 40
Lemaitre, 479
length of seasons, 39
length of shadow cast by earth, 42
length of shadow cast by moon, 43
length of year, 40
Lescarbault, 451
Leuschner, 396
level of sun-spots, 119
levels at which spectral lines originate,
3i9, 342, 350
levels in chromosphere, 165, 277, 319,
33?
Leverrier, 451
Lewis, 374, 376, 380, 390
Lewis-Langmuir, 237
Lick Observatory, 18, 33, 160, 163, 167,
189, 198, 209, 221, 260, 261, 264,
265, 266, 278, 361, 367, 372, 383,
384, 410, 467, 489, 503
life on earth, xiii
light-pressure, 409, 445
light-waves, 101
Lindemann, 418
Lockyer, 90, 103, 135, 139, 142, 143, 144,
152, 161, 162, 247, 261, 317, 374,
376, 378
Lockyer, W. J. S., 163, 165, 402
Lohse, 217
long and short lines, 145
Lorentz, 427, 437
low-pressure lines, 308
Ludendorff, 210, 401, 402, 415, 497, 499,
506
luminosity of corona, 157, 395
lunar ecliptic limits, 49
lunar tables, 68
Lyle, 105
Lyman, 244
Lyot, 419, 501, 504
magnetic field of sun, 330, 335
magnetic storms, 123, 336
Marriott, 127, 224, 225, 362, 371, 380,
401, 495
Marsden, 234
mass of sun, 112
Maunder, 23, 163
Maxwell, 409, 425, 445
Mees, 193
Meggers, 105, 276, 314
Melotte, 467
Menzel, 260, 261, 267, 275, 279, 280, 284,
347, 353, 355, 35$, 49°
Mercury, 424, 437, 443, 451
Merfield, 105
meteoric hypothesis, 150
meteors, 114, 149
meter, 109, 432
method of viewing sun, 115
Metonic cycle, 37
metric system, 108
Michelson, 105, 120, 207, 425
Miller, D. C., 426
Miller, J. A., 10, 210, 212, 220, 361, 369,
370, 410, 484, 485, 495
Miller, W. H., 92, 103
Millikan, 243
Milne, 300, 353, 35», 4*4, 4*6, 4^3
Minnaert, 219, 225, 250, 251, 273, 278,
281, 282, 283, 353, 356, 484, 5°5>
Sio, 511
Minkowski, 434, 437
Mitchell, W. M., 329
Mohler, 457
month, Babylonian, 18; Egyptian, 21;
length of different, 40
moon away from predicted place, 67
moon, distance of, 39
moon interferes with astronomical ob-
servations, 44
moon, motion of, 39, 68
moon's shadow, 284, 485, 491
Moore, C. E., 283, 314, 345
Moore, J. H., 370, 372, 374, 375, 37&»
377,401,506
Morley, 426
Moseley, 234
motion in chromosphere, 342
motion in corona, 365, 3^4
motion in line of sight, 73, 342, 464
motion of the moon, 39, 68
motions of solar gases, 342, 464
moving plate spectrograph, 260
moving plate vs. fixed plate, 261, 271
multiplet groups, 314, 344, 348
music of the spheres, 37
Naegamwala, 374
nebulae, 413
nebulium, 416
neutral atom, 307
Newall, 162, 166, 182, 217, 288, 322, 325,
374, 376, 390
Newcomb, 31, 36, 41, 54, 62, 68, 123,
141, 152, 405, 424, 452
Newton, 73, 101, 407, 421, 423, 446
Nichols, 409
Nicholson, J. W., 381, 393
Nicholson, S. B., in, 120, 213, 337, 39$
Nineveh, eclipse, 8, n, 18, 26, 54, 70
nodes, 39
518
INDEX
normal spectrum, 85, 104
northern lights, 123, 336, 409
number of eclipses each year, 59
number of eclipses in Saros, 52
objective prisms, 82
Oppolzer, i, 29, 36, 51, 60, 62, 63
Pannekoek, 219, 250, 251, 273, 278, 281,
282, 283, 353, 356, 381
parallax of the moon, 48
parallax, solar, 48, no
parallax, stellar, 73, 77, 124
Parkhurst, 213, 396
partial eclipse, 46
Paschen, 244, 245
past eclipses, 55, 494
Payne, 347
percentage of ionization, 301
Perepelkin, 394
periodic table of elements, 234, 306
period of sun-spots, 119
Perrine, 173, 181, 367, 368, 370, 383, 338,
39^
personal errors, 124
Pettit, 213, 393, 396, 502
photographing the sun, 115, 125
photography first applied, 134
photosphere, 98, 113
Pickering, 140, 141, 244, 396
Pitman, 127
Planck, 238, 242
plane gratings, 104
Plaskett, H. H., 321, 353
Plaskett, J. S., 209, 321
polarity of spots, 331, 333
polarized light, 148, 387, 509
pole-effect, 459
Poor, 453
potassium in sun, 308
prediction of eclipses, 5; Thales, 31;
from ecliptic limits, 50; by the
Saros, 31, 50; from Oppolzer maps,
Si
pressure in photosphere, 114
pressures in sun's atmosphere, 307, 346
principles of spectrum analysis, 97
prism, 73
prismatic camera, 82, 153
prismatic spectrum, 85, 104
prisms compared with gratings, 104, 248
problems of the corona, 360, 506
Proctor, 23
prominences, 25, 123, 128, 136, 149, 158,
165, 196, 261, 272, 320, 321, 369,
370, 401
protons, 232
Ptolemy, 10, 19
pyramid not an observatory, 23
quantum, 102, 238
Radau, 68
radiation of corona, 166, 395
radiation-pressure, 409, 445
radium, xiv, 228, 316
Ramsay, 230
Ranyard, 399
Rawlinson, n, 18
red flames, 131, 136
relative numbers of lunar and solar
eclipses, 61
relative numbers of total and annual
eclipses, 44
relativity, 205, 215, 221, 280, 349, 421,
443
reversal of polarities, 333
reversed spectrum, 97, 98
reversing layer, 98, 141, 143, 147, 163,
247
Ricco, 418
Rigge, 64
Rontgen, 227
Rosenthal, 382
Ross, 397, 471
Rosseland, 217, 358, 508
rotation of corona, 161, 164, 182, 384,
504
rotation of sun, 319
rotation of sun's magnetic axis, 336
Rowland, H. A., 88, 103, 113, 162, 168,
205, 282, 456
Rowland, J. P., 289
Rowland gratings, 104, 390
Royds, 230, 321, 460
rubidium in sun, 308
Runge, 105, 240, 253
Russell, 105, 126, 276, 283, 300, 308, 314,
345, 349, 354, 381, 449
Russell, Dugan and Stewart, 241
Rutherford, 228, 230, 231, 242
Rydberg, 105, 240, 241
Rydberg constant, 240, 241, 243
Sana, 268, 270, 276, 292, 294, 299, 315,
4i3
St. John, 105, iii, 321, 322, 326, 340,
341, 344, 348, 352, 374, 463
Saros, 17, 31, 37, 41, 50, 53, 62
Satome, 493, 497
Saunders, 105, 252, 314
scale of intensities, 354
scattering of light, 387, 412
Schaeberle, 159, 370, 407, 410
Schlesinger, 321
Schorr, 210, 218
Schuster, 120, 154, 373
Schwabe, 119, 133
Schwarzschild, 302, 391, 396, 415, 416
INDEX
519
seasons, length of, 39
Secchi, 103, 135, 387
seeing, 274
sensitiveness of spectroscopic test, 83,
232
series, in spectra, 240
Shackleton, 161, 376 /
shadow bands, 480 J
shadow cast by earth, length of, 42 ^ A
shadow cast by moon, length of, 43 < f
shadow of moon approaching, 284
shadow, width of, 44
shape of corona, 123, 364, 399, 417, 497
shape of sun, 124
shift to red in spectrum, 457
sierra, 134
size of atom, 237
size of electron, 226
size of molecule, 233
size of universe, 226
Skinner, 174
Slipher, 374
slitless spectroscope, 82, 149, 153, 250
Slocum, 76, 80, 138, 139, 449, 502
Soddy, 230
sodium lines conspicuous, 82
solar ecliptic limits, 49
solar parallax, 48, no
source of knowledge, 434
space curved, 466
space of four dimensions, 422, 466
spectral series, 240
spectroscope, 72
spectroscopic binaries, 73
spectroscopic tests, sensitiveness of, 83,
232
spectrum analysis, principles, 97
spectrum lines on dark moon, 154
spectrum of corona, 140, 148, 152, 154,
156, 161,373,382,504
spectrum of Venus, 81
spherical sun, 124
spot-vortices, 329, 340
Stark-effect, 285, 336, 459
Stebbins, 209, 213, 368, 395, 396, 419
stellar parallax, 73, 77, 123
stellar spectrum, 80, 317
Stetson, 213, 215, 217, 221, 394, 396,
397
Stevens, 491
Stewart, 94, 100
Stokes, 93, 100
Storey and Wilson, 321
Stormer, 217
Stratton, 225, 249, 250, 278, 280, 374,
375, 376, 378, 380, 484
stripped atoms, 246
sun-spot photographs, 109, 117, 320, 333,
340
sun-spots, 112; appearance, 117; level
of, 119; period of, 119; distribution
of, 121, 334; related to other phe-
nomena, 121 ; spectrum, 308; vor-
tices, 329; polarity, 331, 333;
invisible spots, 332
surface of sun, 115
Swift, 153
Tacchini, 139, 158
telluric lines, 90
temperature, change of spectrum with,
144, 145
temperature change during eclipse, 492
temperature of sun, 114, 302, 308, 346
temperature of sun-spots, 308
temperatures of stars, 72, 145
tenth-meter, 101
terrestrial magnetism, 122
Thales, 17, 30, 70
theory of eclipses, 42
Thomson, 232, 236
Thorpe, 396
time available for observations, xvii
times of contacts, 66, 259
titanium oxide, bands of, 343
Todd, 161
transit of Venus, no, 130
Trumpler, 468, 475
Turner, 158, 162, 166, 391, 396
Tut-ankh-Amen, 24
Tycho Brahe, 128, 423
Ueta, 493
ultimate lines, 315
unexplained facts about corona, 406
Unsold, 286, 3S3
valence, 237
variable star, 120
Vegard, 219
velocity of light, in
velocity of moon's shadow over earth,
45
von Brunn, 476, 477
von Kluber, 369, 394, 401, 402, 475, 477
von Soldner, 465
vortices, sun-spot, 329, 340
Ware, 321, 326, 341, 374
Watson, 141, 153
wave-lengths, 79, 87, 97, 101, 105, 461
weather and sun-spots, 121
week of seven days, 18; of ten days,
21
Wesley, 166, 365
Weston, 505
wet-plate photography, 115
520 INDEX
Weyl, 442 year, Babylonian, 18; Egyptian, 21;
white prominences, 158 tropical, 21; Julian, 21; Gregorian,
Williams, E. T. R., 355, 356, 401 21; length of various, 41
Williams, J., 9, 134 Young, C. A., 97, 103, 113, 139, *47, H9>
Wilson, A., 119 152, 158, 168, 247, 260, 329
Wilson, C. T. R., 233 Young, R. K., 388, 391, 467
Wilson, H. C., 209, 279
Wollaston, 76 Zanstra, 416
Wood, 244, 387, 389, 418 Zech, 31
Wooley, 353 Zeeman, 105, 329, 459
Wright, A. W., 388 zodiac, 15, 26
Wright, W. R., 3»S, 477, 478, 495 zodiacal light, 409, 454
COLUMBIA UNIVERSITY PRESS
COLUMBIA UNIVERSITY
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FOREIGN AGENT
OXFORD UNIVERSITY PRESS
HUMPHREY MILFORD
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